,Fivestudentsreceivedthefollowingtestscores:7,11,5,6,and11.Calculatethemode,media n,
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mean,andrangeofthisdistribution ofscores.Whichmeasureofcentraltendencywould change
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themost ifan additional test scoreof2wereincluded 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
a b b b b b a b a a b b b b b b b b b b
of cigarettes each person smokes daily. Scores on the anxiety test can range anywhere fromalow
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of0(indicatingverylowanxiety)toahighof30(indicating veryhigh anxiety).
b b b b b b b b b b b a b b
Anxiety Cigarettes
Student TestScore SmokedDaily b b b b
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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thedirectionofthecorrelation andgivetwo possibleexplanations forit.
b b b b b b b b a b b b
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
b b b b b b b b b b b b b b b b b b b b
greatest probabilitythatmorethan75 percent ofthestudents haveblond hair?
b b b b b b b b b b b b b
Explain your answer and indicatewhythis explanation has relevance for ge b b b a b b b b b
neralizingappropriately from samples to thelarger populations in which you areinterest ed.
b b b b b a b b b a b b b b
Page1 b
,AnswerKey
b
1.
2.
3.
Page2
b
, 1. Theaveragepricefordifferent brandsoftoothpastecould bevisuallydisplayed in
b b b a b b a b b a
a(n) b
correlationcoefficient. b
scatterplot.
b
standard deviation.
b a
bbargraph. b
2. Whenyoureadabargraph,itismostimportantforyouto b b b b b b b b b b b
mentallytransform the data into a normal curve.
b b b b a a b
identifythe value of the standard deviation. note
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therange and size of thescale values. remember
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thatcorrelationfacilitatesprediction.
b b b b
3. Themostfrequentlyoccurringscoreinadistributionofscoresisthe
b b b b b b b b b b
mode.
b
median.
standarddeviation. b
mean.
b
4. Inagroupoffiveindividuals,tworeport annualincomesof$10,000,andtheothe r
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three reportincomesof$14,000, $15,000, and$31,000, respectively. The mode of
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this group's distribution of annual incomes is
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$10,000.
$15,000.
$16,000.
$31,000.
5. Themeanofadistributionofscoresisthe b b b b b b b b
most frequentlyoccurring score.
b a a
arithmetic average of all the scores.
b a b b b b
leastfrequentlyoccurring score.
b a
scoreexceeded by50percentofallthescores.
b a b b b b b b
6. Whichmeasureofcentraltendencyisused to calculatetheaverageofyoursc
b b b b b a a b b b b b
hoolgrades? b b
standard deviation a
median
b
mean
mode
b
Page1 b
b b b b b b b b b b b b b b b
mean,andrangeofthisdistribution ofscores.Whichmeasureofcentraltendencywould change
b b b b b b a b b b b b b b b
themost ifan additional test scoreof2wereincluded inthedistribution?
b b b b a b b b b b b a b b
The table lists the scores of eight students on a test to measure anxiety, as well as the typical nu mber
a b b b b b a b a a b b b b b b b b b b
of cigarettes each person smokes daily. Scores on the anxiety test can range anywhere fromalow
b b b b b a b b b b b b b b b b b
of0(indicatingverylowanxiety)toahighof30(indicating veryhigh anxiety).
b b b b b b b b b b b a b b
Anxiety Cigarettes
Student TestScore SmokedDaily b b b b
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
b b a b b b a b a a b b
thedirectionofthecorrelation andgivetwo possibleexplanations forit.
b b b b b b b b a b b b
At Michigan State University, 32 students are enrolled in class A, 48 students are enrolled in
b b a b a b b a a a b b a b b
class B, and 16 students are enrolled in class C. For which of these three classes is there t he
b b b b b b b b b b b b b b b b b b b b
greatest probabilitythatmorethan75 percent ofthestudents haveblond hair?
b b b b b b b b b b b b b
Explain your answer and indicatewhythis explanation has relevance for ge b b b a b b b b b
neralizingappropriately from samples to thelarger populations in which you areinterest ed.
b b b b b a b b b a b b b b
Page1 b
,AnswerKey
b
1.
2.
3.
Page2
b
, 1. Theaveragepricefordifferent brandsoftoothpastecould bevisuallydisplayed in
b b b a b b a b b a
a(n) b
correlationcoefficient. b
scatterplot.
b
standard deviation.
b a
bbargraph. b
2. Whenyoureadabargraph,itismostimportantforyouto b b b b b b b b b b b
mentallytransform the data into a normal curve.
b b b b a a b
identifythe value of the standard deviation. note
b b b b a b
therange and size of thescale values. remember
b b b b b b b b b
thatcorrelationfacilitatesprediction.
b b b b
3. Themostfrequentlyoccurringscoreinadistributionofscoresisthe
b b b b b b b b b b
mode.
b
median.
standarddeviation. b
mean.
b
4. Inagroupoffiveindividuals,tworeport annualincomesof$10,000,andtheothe r
b b b b b b b a b b b b b b b
three reportincomesof$14,000, $15,000, and$31,000, respectively. The mode of
b b b b b b b b
this group's distribution of annual incomes is
b b b b b b b
$10,000.
$15,000.
$16,000.
$31,000.
5. Themeanofadistributionofscoresisthe b b b b b b b b
most frequentlyoccurring score.
b a a
arithmetic average of all the scores.
b a b b b b
leastfrequentlyoccurring score.
b a
scoreexceeded by50percentofallthescores.
b a b b b b b b
6. Whichmeasureofcentraltendencyisused to calculatetheaverageofyoursc
b b b b b a a b b b b b
hoolgrades? b b
standard deviation a
median
b
mean
mode
b
Page1 b
