Question

Mitchell and Luke record the number of deliveries they each make for their family's restaurant. The results are shown in the box plots below.

Select the true statement.

The interquartile range of Mitchell's data is greater than the interquartile range of Luke's data.


Mitchell's data and Luke's data have the same interquartile range.

The median number of deliveries made by Mitchell each week is greater than the median number of deliveries made by Luke each week.

The median number of deliveries made by Mitchell each week is equal to the median number of deliveries made by Luke each week.

Answer 1

A. The interquartile range of Mitchell's data is greater than the interquartile range of Luke's data.

Explanation:

Answer 2

The correct answer is the first:
The interquartile range of Mitchell's data is greater than the interquartile range of Luke's data.
Since the interquartile range (RIC) is equal to:

RIC = Q3-Q1

Of the gracifa can be observed quer for the case of Mitchell:
RIC = 34-25 = 9

While for Luke's case:
RIC = 36-28 = 8.

Therefore Mitchell's interquartile range (RIC) is greater than Luke's.