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.

Explanation:

Step1: Calculate Range for Monday

Range = Maximum - Minimum = \(12 - 0 = 12\)

Step2: Calculate IQR for Monday

IQR = Q3 - Q1 = \(4 - 1 = 3\)

Step3: Calculate Range for Saturday

Range = Maximum - Minimum = \(18 - 1 = 17\)

Step4: Calculate IQR for Saturday

IQR = Q3 - Q1 = \(8 - 4 = 4\)

Step5: Compare

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.