Name__________________________________APStatisticsSummerAssignment2017StatesvilleHighSchool PartI:WhyStatistics?Foreachofthefollowingmediapieces,writeaparagraphortwodiscussingthetopic.Besuretoincludetheanswerstothestatedquestions.Pleasemakesurethatyourparagraphsarewell-writtenwithcorrectgrammar,punctuationandtransitions.Yourcompositionsmaybehandwrittenortyped.

1. Video:https://www.youtube.com/watch?v=pi472Mi3VLwa. WhoisHalVarian?b. Whatdoeshemeanby“sexiestjob?”c. Whatdoesheclaimwerethe“sexy”jobsinthe90’s?Whydoyouthinktheymaynotbeas“sexy”now?d. Whydoesheclaimthatbeingastatisticianisa“sexy”job?

2. Article:http://www.wired.com/2010/04/st_thompson_statistics/a. Whyisitimportantforpeopletobestatisticallyliterate?b. Explainsomedangersofbeingstatisticallyilliterateusingexamplesfromthetext.c. Whatisthemeaningofthephrase,“Correlationisnotcausation?”

3. Video:http://tinyurl.com/oohmgqxa. WhatisProfessorBenjamin’sargumentforteachingstatisticsinoursecondaryschools?b. Doeshisargumentsuggestthatcalculusisnotimportant?Explain

PartII:VocabularyPleasedefineeachofthefollowingtermsusingasentenceortwo.Youmayusevariousresourcesandmanyofthetermscanbefoundathttp://www.stattrek.com/statistics/dictionary.aspx?definition=Statistics.Whenasked,provideauniqueexamplefortheterm.(Pleasedonotwritethedefinitionsonthispieceofpaper.Thisworkcanbewrittenortyped.However,pleasemakesureyourworkisneatandgrammaticallycorrect!)

1. Median2. Mean3. Population(provideanexample)4. Sample(provideanexample)5. Center6. Spread7. Symmetry8. Skewness(Drawasketchrepresenting“skewedleft”andasketchrepresenting“skewedright”)9. Uniform10. Gap11. Outlier12. Dotplot13. Differencebetweenbarchartandhistogram14. Stemplot15. Boxplot16. Quartiles17. Range18. InterquartileRange19. ParallelBoxplots

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Name__________________________________APStatisticsSummerAssignment2017StatesvilleHighSchool PartIII:DescribingandDisplayingDataPleasecompletethefollowingexercisesonaseparatesheetofpaper.Ifagraphorplotisrequired,pleaseusegraphpaper,rulerandincludeallnecessarylabels.Whenaskedfordescriptionsorexplanations,pleaseusecompletesentences.

1. Createabargraphfor“haircolor.”2. Constructastemplotthatdisplaysthe“firstappeared”data.(Usea3-digitstem)3. Createanewcolumnfor“age.”Determinethe“age”ofeachsuperherousing2015asthecurrentyear.

a. Constructadotplottodisplaythisdata.Includeappropriatelabels,titleandscale.b. Compareandcontrastthedisplayfromthestemplotin#2abovetothedotplotconstructedherein#3a.

4. Analyzethedatafor“weights”bycompletingeachofthefollowing.a. Determinethemaximumweight.b. Determinetheminimumweight.c. Whatistherangeofweights?d. Determinethemean(average)weight.e. Determinethemedianweight.f. Determinethefirstquartile(Q1).g. Determinethethirdquartile(Q3).h. Whatistheinterquartilerange(IQR)oftheweights?i. Identifyanyoutliersbyidentifyinganydatathatlieoutsideofthefollowingboundaries:

i. Lowerboundary:Q1–1.5(IQR)ii. Upperboundary:Q3+1.5(IQR)

j. Constructamodifiedboxplottodisplaythedatadistributionfortheweightofthesuperheroes.Besuretoindicateanyoutliersontheplot.

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Name__________________________________APStatisticsSummerAssignment2017StatesvilleHighSchool

5. Convertallheightstoinches.Then,determineeachofthefollowingmeasuresofcentraltendency.a. Mean(𝑥)b. Medianc. Mode

6. Whichmeasureofcentraltendencybestdescribesthetypicalheightofasuperhero?Justifyyouranswerusingthecomputationsfrom#5above.

7. SupposethatTheHulkisaddedtotheoriginaldata.Whenangered,hecangrowtobe96inchestall.Determinethemeasuresofcentraltendencyforthenowmodifieddataset.

a. Meanb. Medianc. Mode

8. Usingtheinformationin#5and#7above,answereachofthefollowingquestions.a. WhichmeasureofcentraltendencywasmostaffectedbytheHulk?b. Whichmeasureofcentraltendencybestdescribesthetypicalheightofsuperheroes?Explainyourreasoning.