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CARRYING OUT CALCULATIONS: Compare sets of data with a minimum of 20 items \par }\pard \ltrpar\s15\qc \li0\ri0\widctlpar\tqc\tx4153\tqr\tx8306\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid11880248 {\rtlch \ab\af1\afs16 \ltrch \cs16\b\f1\fs16\insrsid14957363 麻豆社 Key}{\rtlch \ab\af1\afs16 \ltrch \cs16\b\f1\fs16\insrsid11880248 S}{\rtlch \ab\af1\afs16 \ltrch \cs16\b\f1\fs16\insrsid14957363 kills: }{\field\flddirty{\*\fldinst {\rtlch \ab\af1\afs16 \ltrch \cs16\b\f1\fs16\insrsid14957363 HYPERLINK "http://www.bbc.co.uk/keyskills" }{\rtlch \ab\af1\afs16 \ltrch \b\f1\fs16\insrsid659455\charrsid9966192 {\*\datafield 00d0c9ea79f9bace118c8200aa004ba90b02000000170000001f00000068007400740070003a002f002f007700770077002e006200620063002e0063006f002e0075006b002f006b006500790073006b0069006c006c0073000000e0c9ea79f9bace118c8200aa004ba90b3e00000068007400740070003a002f002f007700 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\li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid4132756 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \af1\afs32 \ltrch \f1\fs32\insrsid4132756 Tutor\rquote s Toolkit: Application of Number}{\rtlch \ab\af1\afs32 \ltrch \b\f1\fs32\ul\insrsid4132756\charrsid5336693 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid4132756 {\rtlch \af1\afs22 \ltrch \f1\fs22\ul\insrsid4132756 \par }\pard \ltrpar\qc \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid4132756 {\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4132756 Carrying Out Calculations}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4132756\charrsid6300681 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid4132756 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4132756 \par }{\rtlch \ab\af0 \ltrch \b\f0\insrsid4132756 C}{\rtlch \ab\af0 \ltrch \b\f0\insrsid9323870 8}{\rtlch \af0 \ltrch \f0\insrsid4132756 \tab }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid14957363 Compare sets of data with a minimum of 20 items}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4132756 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4132756 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14486842 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid14486842 {\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid14486842 Useful Web Links: \par }{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid15480258 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid14486842\charrsid15928893 麻豆社 Bitesize Revision: Maths: Measures of central t}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid14486842 endency and measures of spread}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid14486842\charrsid15928893 \par }{\field\flddirty{\*\fldinst {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14486842 HYPERLINK "}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14486842\charrsid15928893 http://www.bbc.co.uk/schools/gcsebitesize/maths/datahandlingfi/centraltendencyrev1.shtml}{ \rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14486842 " }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid659455\charrsid11355614 {\*\datafield 00d0c9ea79f9bace118c8200aa004ba90b02000000170000005900000068007400740070003a002f002f007700770077002e006200620063002e0063006f002e0075006b002f007300630068006f006f006c0073002f0067006300730065006200690074006500730069007a0065002f006d0061007400680073002f006400 610074006100680061006e0064006c0069006e006700660069002f00630065006e007400720061006c00740065006e00640065006e006300790072006500760031002e007300680074006d006c000000e0c9ea79f9bace118c8200aa004ba90bb200000068007400740070003a002f002f007700770077002e006200620063 002e0063006f002e0075006b002f007300630068006f006f006c0073002f0067006300730065006200690074006500730069007a0065002f006d0061007400680073002f006400610074006100680061006e0064006c0069006e006700660069002f00630065006e007400720061006c00740065006e00640065006e006300 790072006500760031002e007300680074006d006c00000000ff}}}{\fldrslt {\rtlch \af1\afs22 \ltrch \cs25\f1\fs22\ul\cf2\insrsid14486842\charrsid11355614 http://www.bbc.co.uk/schools/gcsebitesize/maths/datahandlingfi/centraltendencyrev1.shtml}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14486842 \par \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid14486842\charrsid14486842 麻豆社 Skillswise: Numbers: Understanding averages \par }{\field\flddirty{\*\fldinst {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14486842 HYPERLINK "}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14486842\charrsid15928893 http://www.bbc.co.uk/skillswise/numbers/handlingdata/numericalanalysis/mean/}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14486842 " }{\rtlch \af1\afs22 \ltrch 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\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid4132756 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14486842\charrsid13529635 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4132756\charrsid13529635 \par }\pard \ltrpar\ql \fi-1134\li1134\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin1134\itap0\pararsid4132756 {\rtlch \ab\af0 \ltrch \b\f0\insrsid4132756 C}{\rtlch \ab\af0 \ltrch \b\f0\insrsid9323870 8}{\rtlch \ab\af0 \ltrch \b\f0\insrsid4132756 .1}{\rtlch \af0 \ltrch \f0\insrsid4132756 \tab }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid9323870 Using percentages}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid4132756\charrsid5316830 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5397547 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid4132756\charrsid4132756 \par }{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid5397547\charrsid9323870 Scope}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid5397547\charrsid9323870 : }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid9323870\charrsid9323870 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9323870 \par Students need to be able to:}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5397547\charrsid12607148 \par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid5397547\charrsid12607148 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \li0\ri0\widctlpar \tx567\jclisttab\tx1080\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\ls1\adjustright\rin0\lin0\itap0\pararsid5397547 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid5397547\charrsid12607148 Make comparisons using percentages. [NOE] \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid5397547 {\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid5397547\charrsid12607148 \par }{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid5397547\charrsid9323870 What students need to know}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid5397547\charrsid9323870 : \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9323870 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid5397547\charrsid9323870 Make comparisons using percentages. \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9323870 \par The most common way of comparing two sets of data is to use percentages. For example, we can compare two TV programmes by saying that 30% of the audience for Programme A is under 20, while for Programme B, 50% are under 20. This tells us that Programme B is more popular with the under 20s than Programme A. \par \par }\trowd \irow0\irowband0\lastrow \ltrrow\ts23\trgaph108\trleft-108\trbrdrt\brdrdb\brdrw10 \trbrdrl\brdrdb\brdrw10 \trbrdrb\brdrdb\brdrw10 \trbrdrr\brdrdb\brdrw10 \trbrdrh\brdrdb\brdrw10 \trbrdrv\brdrdb\brdrw10 \trftsWidth1\trftsWidthB3\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddft3\trpaddfb3\trpaddfr3\tbllkhdrrows\tbllklastrow\tbllkhdrcols\tbllklastcol \clvertalt\clbrdrt\brdrdb\brdrw10 \clbrdrl\brdrdb\brdrw10 \clbrdrb\brdrdb\brdrw10 \clbrdrr \brdrdb\brdrw10 \cltxlrtb\clftsWidth3\clwWidth9288\clshdrawnil \cellx9180\pard\plain \ltrpar\ql \li0\ri0\widctlpar\intbl\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid5397547\yts23 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9323870 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid9323870 Example Question:}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid9323870\charrsid9323870 \par }{\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid9323870\charrsid9243494 25 people were asked about the TV programmes they watched. \par 15 said they watched \'93Favourite TV Moments\'94. \par 8 said they watched \'93TV Greats\'94. \par }{\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid9243494\charrsid9243494 Make a percentage comparison.}{\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid9323870\charrsid9243494 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid9243494 Solution:}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid9243494\charrsid9243494 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494 \par 15 out of 25 is: }{\pard\plain \ltrpar\ql \li0\ri0\widctlpar\intbl\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid5397547\yts23 \rtlch \af36\afs22\alang1025 \ltrch 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\ltrch \b\f0\insrsid9243494 C8.2}{\rtlch \af0 \ltrch \f0\insrsid9243494 \tab }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid9243494 Mean, median and mode}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid9243494\charrsid5316830 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9243494 {\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid9243494\charrsid4806046 \par }{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid9243494\charrsid9243494 Scope}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid9243494\charrsid9243494 : \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494 \par Students need to be able to:}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 \par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid9243494\charrsid4806046 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \li0\ri0\widctlpar \tx567\jclisttab\tx1080\tx1134\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\ls3\adjustright\rin0\lin0\itap0\pararsid9243494 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 Calculate the mean of a set of data given as a list. \par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid9243494\charrsid4806046 \loch\af3\dbch\af0\hich\f3 \'b7\tab}Calculate the mean of a set of data taken from a table. \par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid9243494\charrsid4806046 \loch\af3\dbch\af0\hich\f3 \'b7\tab}Interpret a given mean. \par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid9243494\charrsid4806046 \loch\af3\dbch\af0\hich\f3 \'b7\tab}Calculate the median. \par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid9243494 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494 Calculate the mode}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 . \par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid9243494\charrsid4806046 \loch\af3\dbch\af0\hich\f3 \'b7\tab}Be able to select most suitable measure of average. \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9243494 {\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid9243494\charrsid4806046 \par }{\rtlch \ab\ai\af1\afs22 \ltrch \b\i\f1\fs22\insrsid9243494\charrsid9243494 What students need to know}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid9243494\charrsid9243494 : \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid9243494\charrsid9243494 Mean}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 , }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid9243494\charrsid9243494 median}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 and }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid9243494\charrsid9243494 mode}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 are all different types of average. They are indications of the centre of a collection of da}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid11225988 ta. A sensible average can be us}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 ed to represent the data. We can make statements like; \'93On average it took 20 minutes to walk to town\'94 or \'93The average crowd at matches was roughly 42\~000\'94 . It is important to be able to work out averages from a list of data or taken from a table of frequencies. Also, it is important to choose which average is best in different circumstances. \par \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid9243494\charrsid2492301 Calculate the mean of a set of data given as a list}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2492301 \par The mean average is the one where you add up all of the values and divide by how many there are. \par \par }\pard \ltrpar\ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid2492301 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2492301\charrsid4806046 The av}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2492301 erage of 12, 10, 7 and 3 is (12 + 10 + 7 + 3) }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2492301\charrsid4806046 {\field{\*\fldinst SYMBOL 184 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2492301 4 = 32 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2492301\charrsid4806046 {\field{\*\fldinst SYMBOL 184 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2492301 4 = }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2492301\charrsid4806046 8 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx567\tx1134\tx1380\tx1701\tx2268\tx2835\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9243494 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2492301 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9243494 {\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid9243494\charrsid12859118 Calculate the mean of a}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid12859118 set of data taken from a table}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid9243494\charrsid12859118 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12859118 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid12859118 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 If the table shows how often each number crops up, then it is called a frequency table. \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12859118 This}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 table shows the sizes of the shoes worn by a group of teachers.}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12859118\charrsid4806046 \par }\trowd \irow0\irowband0\ltrrow\ts11\trgaph108\trrh267\trleft1062\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1650\clshdrawnil \cellx2712\clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1649\clshdrawnil \cellx4361\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid477935 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 Shoe Size\cell Frequency\cell }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 \trowd \irow0\irowband0\ltrrow\ts11\trgaph108\trrh267\trleft1062\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1650\clshdrawnil \cellx2712\clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1649\clshdrawnil \cellx4361\row }\trowd \irow1\irowband1\ltrrow\ts11\trgaph108\trrh253\trleft1062\trbrdrt\brdrs\brdrw10 \trbrdrl \brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1650\clshdrawnil \cellx2712\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1649\clshdrawnil \cellx4361\pard \ltrpar \ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid477935 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 5\cell 3\cell }\pard \ltrpar \ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 \trowd \irow1\irowband1\ltrrow\ts11\trgaph108\trrh253\trleft1062\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr \brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1650\clshdrawnil \cellx2712\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1649\clshdrawnil \cellx4361\row }\trowd \irow2\irowband2\ltrrow\ts11\trgaph108\trrh267\trleft1062\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1650\clshdrawnil \cellx2712\clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1649\clshdrawnil \cellx4361\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid477935 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 6\cell 6\cell }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 \trowd \irow2\irowband2\ltrrow\ts11\trgaph108\trrh267\trleft1062\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1650\clshdrawnil \cellx2712\clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1649\clshdrawnil \cellx4361\row }\trowd \irow3\irowband3\ltrrow\ts11\trgaph108\trrh253\trleft1062\trbrdrt\brdrs\brdrw10 \trbrdrl \brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1650\clshdrawnil \cellx2712\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1649\clshdrawnil \cellx4361\pard \ltrpar \ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid477935 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 7\cell 9\cell }\pard \ltrpar \ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 \trowd \irow3\irowband3\ltrrow\ts11\trgaph108\trrh253\trleft1062\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr \brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1650\clshdrawnil \cellx2712\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1649\clshdrawnil \cellx4361\row }\trowd \irow4\irowband4\lastrow \ltrrow\ts11\trgaph108\trrh267\trleft1062\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1650\clshdrawnil \cellx2712\clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1649\clshdrawnil \cellx4361\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid477935 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 8\cell 2\cell }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 \trowd \irow4\irowband4\lastrow \ltrrow\ts11\trgaph108\trrh267\trleft1062\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1650\clshdrawnil \cellx2712\clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1649\clshdrawnil \cellx4361\row }\pard \ltrpar\ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid12859118 { \rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12859118 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 The table says that 3 teachers wear size 5 shoes, 6 teachers wear size 6 and so on. }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12859118\charrsid4806046 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 Notice}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12859118 that there are 3 + 6 + 9 + 2 = 20 teachers }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 altogether. \par So, the show size list is: 5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7,7,}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid13976484 7,}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 8,8. \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12859118 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 Much easier to work out: \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12859118 5 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12859118 3 + 6 }{ \rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12859118 6 + 7 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12859118 9 + 8 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12859118 2 = 15 + 36 + 63 + 16 = }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 130 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12859118 So, the mean average is 130 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 {\field{\*\fldinst SYMBOL 184 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12859118 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 20}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12859118 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12859118\charrsid12859118 = }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid9243494\charrsid12859118 6.5}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid12859118 .}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9243494 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14957363 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12859118 \par \par \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12859118\charrsid4806046 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid12859118 Interpret a given mean}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid9243494 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid12859118\charrsid12859118 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid12859118 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 The mean average tells you an amount (say) per person. If we know the mean and how many people there were, we can work out the total amount.}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8785155 \par \par }\trowd \irow0\irowband0\lastrow \ltrrow\ts23\trgaph108\trleft-108\trbrdrt\brdrdb\brdrw10 \trbrdrl\brdrdb\brdrw10 \trbrdrb\brdrdb\brdrw10 \trbrdrr\brdrdb\brdrw10 \trbrdrh\brdrdb\brdrw10 \trbrdrv\brdrdb\brdrw10 \trftsWidth1\trftsWidthB3\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddft3\trpaddfb3\trpaddfr3\tbllkhdrrows\tbllklastrow\tbllkhdrcols\tbllklastcol \clvertalt\clbrdrt\brdrdb\brdrw10 \clbrdrl\brdrdb\brdrw10 \clbrdrb\brdrdb\brdrw10 \clbrdrr \brdrdb\brdrw10 \cltxlrtb\clftsWidth3\clwWidth9288\clshdrawnil \cellx9180\pard\plain \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid12859118\yts23 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8785155 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid8785155 Example Question:}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid8785155\charrsid8785155 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid8785155\yts23 {\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid8785155\charrsid8785155 In a sponsored run, 500 runners run for an average of 4 ho urs. What was the total running time for the group. \par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid12859118\yts23 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8785155 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid8785155 Solution:}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid8785155\charrsid8785155 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8785155 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid8785155\yts23 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8785155\charrsid4806046 To work out the average}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8785155 ,}{ \rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2176768 we must have calculated the}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8785155\charrsid4806046 total time }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8785155\charrsid4806046 {\field{\*\fldinst SYMBOL 184 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8785155\charrsid4806046 500 and got the answer 4. So, we can work backwards:}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8785155 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8785155\charrsid4806046 \par Total time}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8785155 = 500 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8785155\charrsid4806046 {\field{\*\fldinst SYMBOL 180 \\f "Symbol" \\s 11}{\fldrslt\f3\fs22}}}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8785155 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8785155\charrsid4806046 4}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8785155 }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8785155\charrsid8785155 = }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid8785155\charrsid8785155 2000 hours}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8785155\charrsid8785155 .}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8785155\charrsid4806046 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid12859118\yts23 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8785155 \cell }\pard\plain \ltrpar \ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8785155 \trowd \irow0\irowband0\lastrow \ltrrow\ts23\trgaph108\trleft-108\trbrdrt\brdrdb\brdrw10 \trbrdrl\brdrdb\brdrw10 \trbrdrb\brdrdb\brdrw10 \trbrdrr\brdrdb\brdrw10 \trbrdrh\brdrdb\brdrw10 \trbrdrv\brdrdb\brdrw10 \trftsWidth1\trftsWidthB3\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddft3\trpaddfb3\trpaddfr3\tbllkhdrrows\tbllklastrow\tbllkhdrcols\tbllklastcol \clvertalt\clbrdrt\brdrdb\brdrw10 \clbrdrl\brdrdb\brdrw10 \clbrdrb\brdrdb\brdrw10 \clbrdrr \brdrdb\brdrw10 \cltxlrtb\clftsWidth3\clwWidth9288\clshdrawnil \cellx9180\row }\pard \ltrpar\ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid12859118 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid8785155 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9243494 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid9243494\charrsid1198425 Calculate the med}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid1198425 ian}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid9243494\charrsid1198425 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid1198425 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 The median is the middle one in an ordered list. There are two issues: \par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid9243494\charrsid4806046 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \fi-360\li720\ri0\widctlpar \jclisttab\tx720\tx1134\tx1701\tx2268\aspalpha\aspnum\faauto\ls4\adjustright\rin0\lin720\itap0\pararsid1198425 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 The list must be put in order. \par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid9243494\charrsid4806046 \loch\af3\dbch\af0\hich\f3 \'b7\tab}If th}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1198425 ere are an even number of items \endash that is,}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 there are two numbers in the middle \endash we have to take the middle of these.}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx1134\tx1701\tx2268\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid1198425 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1198425 \par }\pard\plain \ltrpar\ql \li0\ri0\widctlpar\intbl\tx1134\tx1701\tx2268\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid1198425\yts23 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2755834 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid2755834 Example Question:}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid2755834\charrsid2755834 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid2755834\yts23 {\rtlch \ai\af1\afs22 \ltrch \i\f1\fs22\insrsid2755834\charrsid2755834 Find the median of these hand spans (given in cm): \par 12, 18, 21, 17, 15, 20, 19, 17, 14, 18. \par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\tx1134\tx1701\tx2268\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid1198425\yts23 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2755834 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid2755834 Solution:}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid2755834\charrsid2755834 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2755834 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid2755834\yts23 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2755834\charrsid4806046 First, we put them in order. (It is a good idea to cross the numbers o}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2755834 f}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2755834\charrsid4806046 f the list as you go). \par }{\rtlch \af1\afs22 \ltrch \strike\f1\fs22\insrsid2755834\charrsid4806046 12, 14, 15, 17}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2755834\charrsid4806046 , 17, 18, }{\rtlch \af1\afs22 \ltrch \strike\f1\fs22\insrsid2755834\charrsid4806046 18, 19, 20, 21}{ \rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2755834\charrsid4806046 . \par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\tx1134\tx1701\tx2268\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid1198425\yts23 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2755834 \par The two values in the middle are 17 and 18. \par \par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid2755834\yts23 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2755834\charrsid4806046 So, the }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2755834\charrsid2755834 median is }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid2755834\charrsid2755834 17.5cm}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2755834\charrsid2755834 .}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2755834\charrsid4806046 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\tx1134\tx1701\tx2268\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid1198425\yts23 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2755834 \cell }\pard\plain \ltrpar \ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid2755834 \trowd \irow0\irowband0\lastrow \ltrrow\ts23\trgaph108\trleft-108\trbrdrt\brdrdb\brdrw10 \trbrdrl\brdrdb\brdrw10 \trbrdrb\brdrdb\brdrw10 \trbrdrr\brdrdb\brdrw10 \trbrdrh\brdrdb\brdrw10 \trbrdrv\brdrdb\brdrw10 \trftsWidth1\trftsWidthB3\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddft3\trpaddfb3\trpaddfr3\tbllkhdrrows\tbllklastrow\tbllkhdrcols\tbllklastcol \clvertalt\clbrdrt\brdrdb\brdrw10 \clbrdrl\brdrdb\brdrw10 \clbrdrb\brdrdb\brdrw10 \clbrdrr \brdrdb\brdrw10 \cltxlrtb\clftsWidth3\clwWidth9288\clshdrawnil \cellx9180\row }\pard \ltrpar\ql \li0\ri0\widctlpar\tx1134\tx1701\tx2268\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid1198425 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1198425 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid10305263 Calculate the mode}{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid10305263\charrsid10305263 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1198425 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10305263 The mode is the most common item in a list.}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid1198425 \par \par }\pard\plain \ltrpar\s24\ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid10305263 \rtlch \af118\afs24\alang1025 \ltrch \f118\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10305263 Take}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10305263\charrsid4806046 these leng}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10305263 ths: 2m, 5m, 3m, 4m, 5m, 2m, 5m.}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10305263\charrsid4806046 \par }\pard\plain \ltrpar\ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid10305263 \rtlch \af36\afs24\alang1025 \ltrch \f36\fs24\lang2057\langfe1033\cgrid\langnp2057\langfenp1033 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10305263 T}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10305263\charrsid4806046 he mode is 5m, which occurs 3 times. \par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx1134\tx1701\tx2268\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid1198425 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10305263 \par \par \par \par \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid14957363 \par \par }\pard \ltrpar\ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid10305263 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 \par The mode is easy to spot in a frequency table, because frequency tells you immediately how many there are. }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10305263 \par \par Look at this }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 table of teachers shoe sizes:}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494 \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10305263\charrsid4806046 \par }\trowd \irow0\irowband0\ltrrow\ts11\trgaph108\trrh267\trleft1062\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1650\clshdrawnil \cellx2712\clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1649\clshdrawnil \cellx4361\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid477935 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 Shoe Size\cell Frequency\cell }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 \trowd \irow0\irowband0\ltrrow\ts11\trgaph108\trrh267\trleft1062\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1650\clshdrawnil \cellx2712\clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1649\clshdrawnil \cellx4361\row }\trowd \irow1\irowband1\ltrrow\ts11\trgaph108\trrh253\trleft1062\trbrdrt\brdrs\brdrw10 \trbrdrl \brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1650\clshdrawnil \cellx2712\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1649\clshdrawnil \cellx4361\pard \ltrpar \ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid477935 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 5\cell 3\cell }\pard \ltrpar \ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 \trowd \irow1\irowband1\ltrrow\ts11\trgaph108\trrh253\trleft1062\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr \brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1650\clshdrawnil \cellx2712\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1649\clshdrawnil \cellx4361\row }\trowd \irow2\irowband2\ltrrow\ts11\trgaph108\trrh267\trleft1062\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1650\clshdrawnil \cellx2712\clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1649\clshdrawnil \cellx4361\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid477935 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 6\cell 6\cell }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 \trowd \irow2\irowband2\ltrrow\ts11\trgaph108\trrh267\trleft1062\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1650\clshdrawnil \cellx2712\clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1649\clshdrawnil \cellx4361\row }\trowd \irow3\irowband3\ltrrow\ts11\trgaph108\trrh253\trleft1062\trbrdrt\brdrs\brdrw10 \trbrdrl \brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1650\clshdrawnil \cellx2712\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1649\clshdrawnil \cellx4361\pard \ltrpar \ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid477935 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 7\cell 9\cell }\pard \ltrpar \ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 \trowd \irow3\irowband3\ltrrow\ts11\trgaph108\trrh253\trleft1062\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr \brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1650\clshdrawnil \cellx2712\clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1649\clshdrawnil \cellx4361\row }\trowd \irow4\irowband4\lastrow \ltrrow\ts11\trgaph108\trrh267\trleft1062\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1650\clshdrawnil \cellx2712\clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1649\clshdrawnil \cellx4361\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0\pararsid477935 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 8\cell 2\cell }\pard \ltrpar\ql \li0\ri0\widctlpar\intbl\aspalpha\aspnum\faauto\adjustright\rin0\lin0 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 \trowd \irow4\irowband4\lastrow \ltrrow\ts11\trgaph108\trrh267\trleft1062\trbrdrt\brdrs\brdrw10 \trbrdrl\brdrs\brdrw10 \trbrdrb\brdrs\brdrw10 \trbrdrr\brdrs\brdrw10 \trbrdrh\brdrs\brdrw10 \trbrdrv\brdrs\brdrw10 \trftsWidth1\trautofit1\trpaddl108\trpaddr108\trpaddfl3\trpaddfr3 \clvertalt\clbrdrt\brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1650\clshdrawnil \cellx2712\clvertalt\clbrdrt \brdrs\brdrw10 \clbrdrl\brdrs\brdrw10 \clbrdrb\brdrs\brdrw10 \clbrdrr\brdrs\brdrw10 \cltxlrtb\clftsWidth3\clwWidth1649\clshdrawnil \cellx4361\row }\pard \ltrpar\ql \li567\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin567\itap0\pararsid9243494 { \rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10305263 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid10305263 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid9243494\charrsid4806046 The mode is size 7, because the frequency for size 7 is the largest. \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10305263\charrsid4806046 \par }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid10305263\charrsid4806046 Be able to select most suitable measure of average. \par }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10305263 \par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid10305263 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \fi-360\li720\ri0\widctlpar \jclisttab\tx720\aspalpha\aspnum\faauto\ls5\adjustright\rin0\lin720\itap0\pararsid10305263 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10305263 The }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid10305263\charrsid10305263 mode}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10305263 is the easiest to work out. However, the mode is often a bad indicator. For example, there may be so many different values that none of them are significantly more common than the others. \par }\pard \ltrpar\ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid10305263 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10305263 \par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid10305263 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \fi-360\li720\ri0\widctlpar \jclisttab\tx720\aspalpha\aspnum\faauto\ls5\adjustright\rin0\lin720\itap0\pararsid10305263 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10305263 The }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid10305263\charrsid10305263 median}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10305263 is }{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10305263\charrsid4806046 fairly easy to work out and is a good choice unless the data is skewed. That means that for some reason most of the data occurs at one end of the possible range. For example , the salaries of employees in a cleaning firm: most employees will get low wages, but the management and the boss can get very high wages indeed. The median will make it look as if the average is as low as the lowest paid staff.}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10305263 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid10305263 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10305263 \par {\listtext\pard\plain\ltrpar \rtlch \af3\afs22 \ltrch \f3\fs22\lang2057\langfe1033\langfenp1033\insrsid10305263 \loch\af3\dbch\af0\hich\f3 \'b7\tab}}\pard \ltrpar\ql \fi-360\li720\ri0\widctlpar \jclisttab\tx720\aspalpha\aspnum\faauto\ls5\adjustright\rin0\lin720\itap0\pararsid10305263 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10305263 The }{\rtlch \ab\af1\afs22 \ltrch \b\f1\fs22\insrsid10305263\charrsid10305263 mean}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10305263\charrsid4806046 is the hardest to work out, but overcomes the problems of the median and the mode.}{\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10305263 \par }\pard \ltrpar\ql \li0\ri0\widctlpar\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid10305263 {\rtlch \af1\afs22 \ltrch \f1\fs22\insrsid10305263 \par \par \par }}