Question

the following table shows summary statistics for the number of hours a group of students spent playing video games last monday and last saturday.

day	minimum	q1	median	q3	maximum
saturday	1	4	6	8	18

based on the summary statistics, which of the following gives the best comparison of the range and the interquartile range (iqr) of the two days?

a) the range and iqr of hours played on monday are both greater than the range and iqr of hours played on saturday.

b) the range and iqr of hours played on monday are both less than the range and iqr of hours played on saturday.

c) the range and iqr of hours played on monday are both equal to the range and iqr of hours played on saturday.

d) the range of hours played on monday is greater than the range of hours played on saturday, and the iqr of hours played on monday is less than the iqr of hours played on saturday.

e) the range of hours played on monday is less than the range of hours played on saturday, and the iqr of hours played on monday is greater than the iqr of hours played on saturday.

Explanation:

Step1: Calculate Range for Monday and Saturday

Range = Maximum - Minimum.
For Monday: $12 - 0 = 12$.
For Saturday: $18 - 1 = 17$.

Step2: Calculate IQR for Monday and Saturday

IQR = Q3 - Q1.
For Monday: $4 - 1 = 3$.
For Saturday: $8 - 4 = 4$.

Step3: Compare Ranges and IQRs

Monday's range (12) < Saturday's range (17).
Monday's IQR (3) < Saturday's IQR (4).

Answer:

B. The range and IQR of hours played on Monday are both less than the range and IQR of hours played on Saturday.