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mean,andrangeofthisdistribution ofscores.Whichmeasureofcentraltendencywould change
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themostifan additionaltestscoreof2wereincluded inthedistribution?
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The table lists the scores of eight students on a test to measure anxiety, as well as the typical nu mber
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of cigarettes each person smokes daily. Scores on the anxiety test can range anywhere fromalow
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of0(indicatingverylowanxiety)toahighof30(indicating veryhighanxiety).
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Anxiety Cigarettes
Student TestScore SmokedDaily c c c c
1 8 11
2 9 3
3 15 11
4 14 16
5 21 26
6 12 10
7 22 24
8 17 18
Construct a scatterplot to represent the correlation between smoking and anxiety. Describ e
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thedirectionofthecorrelationandgivetwo possibleexplanationsforit.
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At Michigan State University, 32 students are enrolled in class A, 48 students are enrolled in
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class B, and 16 students are enrolled in class C. For which of these three classes is there t he
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greatest probabilitythatmorethan75 percent ofthestudents haveblond hair?
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Explain your answer and indicatewhythis explanation has relevance for ge c c c a c c c c c
neralizingappropriatelyfromsamples to thelargerpopulations in which you areinterest ed.
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,AnswerKey
c
1.
2.
3.
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c
, 1. Theaveragepricefordifferent brandsoftoothpastecould bevisuallydisplayedin
c c c a c c a c c a
a(n) c
correlationcoefficient. c
scatterplot.
c
standard deviation.
c a
cbargraph. c
2. Whenyoureadabargraph,itismostimportantforyouto c c c c c c c c c c c
mentallytransform the data into a normal curve.
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identifythe value of the standard deviation. note
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therange and size ofthescalevalues. remember
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thatcorrelationfacilitatesprediction.
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3. Themostfrequentlyoccurringscoreinadistributionofscoresisthe
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mode.
c
median.
standarddeviation. c
mean.
c
4. Inagroupoffiveindividuals,tworeport annualincomesof$10,000,andtheothe r three
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reportincomesof$14,000, $15,000, and$31,000, respectively. The mode of this
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group's distribution of annual incomes is
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$10,000.
$15,000.
$16,000.
$31,000.
5. Themeanofadistributionofscoresisthe c c c c c c c c
most frequentlyoccurring score.
c a a
arithmetic average of all the scores.
c a c c c c
leastfrequentlyoccurring score.
c a
scoreexceeded by50percentofallthescores.
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6. Whichmeasureofcentraltendencyisused to calculatetheaverageofyoursc
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hoolgrades? c c
standard deviation a
median
c
mean
mode
c
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