Which of the following statistics can you not determine from a boxplot?

The range
The average or mean
The interquartile range
The median

1 answer

From a boxplot, you cannot determine the average or mean.

A boxplot displays the five-number summary of a dataset (minimum, first quartile, median, third quartile, and maximum) and allows for the determination of the range and interquartile range (IQR). The median is also explicitly shown in the boxplot. However, the mean is not represented in the boxplot, as it is not among the values displayed.