Question

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:

To solve this, we analyze the range (max - min) and IQR (Q3 - Q1) for Monday and Saturday. Typically, on weekends (Saturday) people have more free time, so hours played likely have a larger range and IQR than on weekdays (Monday). So Monday's range and IQR are less than Saturday's.

Answer:

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