Question

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, 17 of whom received a job offer and 18 of whom did not. answer the questions that follow. typing speeds (words per minute) offer no offer 6 1|3|6 8 8 4 2|4|3 5 6 6 7 7 7 5 4 3 1 0 0|5|0 4 5 5 8 8 9 5 5 1 0|6|2 5 7 key: 31 - 1|3|6 → 36 (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 30s? offer no offer each had the same

Explanation:

Step1: Find range for 'Offer' group

Range = Max - Min. For 'Offer' group, Min = 31, Max = 65. So range = 65 - 31 = 34.

Step2: Find range for 'No offer' group

For 'No offer' group, Min = 36, Max = 67. So range = 67 - 36 = 31.

Step3: Find median for 'Offer' group

There are 17 data - points. Median is the 9th value when ordered. Ordered 'Offer' data: 31, 36, 42, 44, 48, 50, 51, 53, 54, 55, 57, 57, 60, 61, 65, 65. Median = 54.

Step4: Find median for 'No offer' group

There are 18 data - points. Median is the average of the 9th and 10th values when ordered. Ordered 'No offer' data: 36, 38, 43, 45, 46, 46, 47, 50, 54, 55, 58, 58, 59, 62, 65, 67. Median=$\frac{50 + 54}{2}=52$.

Step5: Count typing speeds in 30s for 'Offer' group

In 'Offer' group, typing speeds in 30s are 31, 36. Count = 2.

Step6: Count typing speeds in 30s for 'No offer' group

In 'No offer' group, typing speeds in 30s are 36, 38. Count = 2.

Answer:

(a) Offer: 34, No offer: 31
(b) Offer
(c) Each had the same