Question

which statement appears to be true regarding the box - and - whisker plots shown? the interquartile range of the data for plot a is greater than the interquartile range of the data for plot b. the upper extreme of the data for plot a is greater than the upper extreme for the data for plot c. the range of the data in plot a is the same as the range of the data in plot c. the median of the data in plot a is greater than the median of the data in plot b.

Explanation:

Step1: Recall box - and - whisker plot properties

The median is the line inside the box. The range is the difference between the maximum and minimum values (end - points of the whiskers). The inter - quartile range (IQR) is the difference between the upper quartile (end of the right side of the box) and the lower quartile (end of the left side of the box). The upper extreme is the maximum value (end of the right - hand whisker).

Step2: Analyze medians

In plot A, the median is around 30. In plot B, the median is around 29. So the median of the data in plot A is greater than the median of the data in plot B.

Step3: Analyze ranges

We cannot be sure that the range of plot A is the same as plot C just by visual inspection.

Step4: Analyze upper extremes

We cannot be sure that the upper extreme of plot A is greater than that of plot C just by visual inspection.

Step5: Analyze inter - quartile ranges

We cannot be sure that the IQR of plot A is greater than that of plot B just by visual inspection.

Answer:

The median of the data in plot A is greater than the median of the data in plot B.