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As part of its interview process, an employment agency tests the client\'s typin

ID: 3371808 • Letter: A

Question

As part of its interview process, an employment agency tests the client's typing speed. The stem-and-leaf display below shows the results for the most recent clients, 18 of whom received a job offer and 19 of whom did not. Answer the questions that follow. Typing speeds (words per minute) Offer No offer 71377 87432104235788 44221 5 04558889 8541 6 178 Key: 31 - 137-37 (a) What were the ranges of typing speeds for the two groups? Offer No offer (b) Which group had the higher median typing speed? Offer No offer The medians were the same (c) Which group had more typing speeds in the 40s? Offer No offer Each had the same

Explanation / Answer

a)

using stem leaf plot

range for offer is 68-31 =37

range for "no offer" is 68-37 =31

b)

data for offer is

31,37,40,41,42,43,44,47, 48,51 ,52,52,54,54,61,64,65,68

so its median =middle of this data =(48+51)/2 =49.5

data for no offer is

37,37,42,43,45,47,48,48,50, 54,   55,55,58,58,58,59,61,67,68

so its median = middle of this data = 54

so "no offer" has higher median typing speed

c)

for "offer" typing speed in 40s is 48

for "no offer" typing speed in 40s is 48

so each had same speed

so answer is third choice