Question

the box plots show the data distributions for the number of customers who used a coupon each hour during a two - day sale.
number of coupon users per hour
which measure of variability can be compared using the box plots?
interquartile range
standard deviation
mean
median

Explanation:

Step1: Understand box - plot components

A box - plot shows the minimum, first quartile (\(Q_1\)), median (\(Q_2\)), third quartile (\(Q_3\)), and maximum values. The inter - quartile range (IQR) is calculated as \(IQR=Q_3 - Q_1\).

Step2: Recall measures of variability

The mean and median are measures of central tendency. The standard deviation is a measure of variability for data that is assumed to be approximately normally distributed. The inter - quartile range is a measure of variability that can be directly read from a box - plot (since \(Q_1\) and \(Q_3\) are part of the box - plot structure).

Answer:

interquartile range