AP Statistics Quiz A - Chapter 5 1: A survey conducted in a college intro stats class during Autumn 2003 asked students about the number of credit hours they were taking that quarter. The number of credit hours for a random sample a. of 16 students is: l0 10 T2 14 15 15 15 l5 t7 t7 T9 20 z0 20 2A 22 Sketch a histogram for these data. b. Find the mean and standard deviation for the number of credit hours. S=3.1 credir hrs T-- t,lb f)Scrtdif hcs xt'r _f3 L' ' ,- l0 lL lll lo c. Lq Ltb Zo z7- Find the -gJ#;ihfdn. ror the number of credit hours. fn<d ialn : \b d. Is it more appropriate to use the mean and standard deviation or the median and IQR to summarize these data? Erplain. tfledian I leK b<co^)s<1he cla{- c,.' rS D o*- SYmrnekic Q3: ao CI,r\11,5 \0('. a 0-t$,t =5S I crfQ'd 2. rt hfs The five-number sunmary formidterm scores (number of points; the maximum possible score was 50 points) from an intro stats class is: Min o1 Median o3 Max 16.5 32 39 43.5 48.s a. Would you expect the meair midterm score of all students who took the midterm to be higher or lower than the median? Explain. qn SV\ould b c I ul a!- -l{rron the- m!-di cr} b<q^xe +\E do+o. \s EuX,tted lt€t, The J b. nO e Based on the five-number sunmary, are any of the midterm scores outliers? Expiain. lh(=t{<,r32= l\'S fAn&s : &* l,sCtQO : Q, - \,st\qg) =bttns *r,s(tr.s) = \ \,?s 9?,5+ t,s( lts) --' N1OY No do$0 {b.l,ts oLr+ sid&s-r I *vllQft@s 3' 4' Suppose that the student who scored 48.5 on the midterm got her grade raised to 50. Ind.icate whether changing the midterm score for that student would make iach of the following summary statistics increase, decrease, or stay about the same: a. mean b. median c. range hr\cf?ase d. rQR Sayrre. e. standard deviation \norease, The side-by-side boxplots show the cumulative college GPAs for sophomores, juniors, and seniors taking an intro stats course in Autumn 2003. a. Which class (sophomore, junior, or senior) had the lowest cumulative college GpA? What is the approximate value of that GPA? Jun\o €-S ; crror.)nd t . b 4.50 U OJ and what is that GpA? $phrnores qrq z. z,s\ c. Which class has the largest range for GpA, and what is it? Sur,oc Ctoqa d. 3.75 b( U b. Which class has the highest median GpA, Cumulafive GPA Autumn 2003 0) 3.00 (d H 2,25 U 1.50 Soph. Sen. 3.9 - l,b =7,L Which class has the most symmetric set of GpAs? The most skewed set of GpAs? S\rnrrt.etn =Tuni o€SKtw€d: Sophwr&,, She w€d \<et 5-12 Iun. c