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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 day 1 day 2 which measure of variability can be compared using the box plots? interquartile range standard deviation mean median
A box - plot (or box - and - whisker plot) shows the five - number summary of a data set: minimum, first quartile (\(Q_1\)), median (\(Q_2\)), third quartile (\(Q_3\)), and maximum. The interquartile range (IQR) is calculated as \(IQR=Q_3 - Q_1\). The length of the box in a box - plot represents the interquartile range.
Standard deviation is a measure of the amount of variation or dispersion of a set of values. It cannot be directly read from a box - plot. The mean is the average of a set of numbers and is not shown on a box - plot. The median (\(Q_2\)) is a measure of central tendency (not a measure of variability) and is shown as the line inside the box in a box - plot.
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interquartile range