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e z score to r x-D Appendix z x Course @ Take a Test G -G This Questio x- e Chegg Stud. Hon. × The Histogra × Secure | https://www.mathxl.com/Student/PlayerTest.aspx?testld-176152984¢erwin-yes; : Apps P N o N @Course HomeZScore top Calcula. D z score % Spring 2018 STA2023 Online 24159 nyanned tavara 1 129/18 1:03 PM Quiz: Unit 1 Review Quiz Time Remaining: 01.10.21 Submit Quiz This Question: 3 pts 15of17(17 complete | This Quiz: 70 pts possible Dats was colected on the heights of boys at 12 and 21 menthe or age. The data is sumrmarized in the elowing boxplets. Halpht a:24 morth: Hatar 12 months O A. Thore ismore variation in hoight at 12 months The box longth is smaler, indicating a smalor interquatila rargc and greater spread in the data B. There more variation in heant at 24 months. The box length is longer, indcaona a larger nterouarde range and areater soread n the cata. C. There is more vanahon height at 24 months i ne whiskers are more symmernc torte 24-month data·indicat ng greater spr ad In the data D. Thrm. mare vanation ln height at 12 man hs The whiskrs ar 1 a symmetnc r te 2-month data, Indra ng grratr spread in the d to b) With regar 1n height at 12 months, atnut what pernentage cf the heights were nhave 3 inches? % Cick lo selel your answers) 1:03 PM Type here to search 1/29/20185Explanation / Answer
a)
Using boxplots we compare the spread using the interquartile range. The larger tha size of box is, the larger the interquartie range is, and the higher the spread is. Hence comparing both box-plots we find the correct option to be,
B. There is more variation in height at 24 months. The box length is longer indicating a larger interquartile range and a greater spread in the data.
b)
We observe that the third percentile of boxplot for height at 12 month lies at 30 inches. Hence 25% of the data lies above 30 inches.
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