Question

as part of its interview process, an employment agency tests the clients typing speed. the stem - and - leaf display below shows the results for the most recent clients, 20 of whom received a job offer and 17 of whom did not. answer the questions that follow. typing speeds (words per minute) offer no offer 7 5 5 5 2 | 3 | 2 4 8 9 8 7 5 4 4 2 0 | 4 | 2 3 4 5 6 7 8 9 8 4 3 1 0 | 5 | 4 4 5 7 8 3 2 6 5 7 key: 32 ← 2 | 3 | 2 → 32 (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:

Step1: Find range for 'Offer' group

Range = Max - Min. For Offer group, Max = 59, Min = 32. So range = 59 - 32 = 27.

Step2: Find range for 'No offer' group

For No - offer group, Max = 58, Min = 24. So range = 58 - 24 = 34.

Step3: Find median for 'Offer' group

There are 17 data - points. Median is the 9th value when ordered. Arranging Offer data: 32,34,35,35,37,40,42,44,45,47,48,49,50,51,53,58,59. Median = 45.

Step4: Find median for 'No offer' group

There are 20 data - points. Median is the average of 10th and 11th values when ordered. Arranging No - offer data: 24,28,32,34,34,35,37,38,42,43,45,46,47,48,54,54,55,57,58. Median=(43 + 45)/2 = 44.

Step5: Count typing speeds in 40s for 'Offer' group

Count values starting with 4 in Offer group: 40,42,44,45,47,48,49. There are 7 values.

Step6: Count typing speeds in 40s for 'No offer' group

Count values starting with 4 in No - offer group: 42,43,45,46,47,48. There are 6 values.

Answer:

(a) Offer: 27, No offer: 34
(b) Offer
(c) Offer