match each histogram to the boxplot that represents the same data set.

Answer :

Step 1 of 5:

Given,

Various boxplot and the histograms

The claim is to match the each histogram to the boxplot.

Step 2 of 5:

From the histogram (a) we can see that it is skewed right and there is no outliers.

Which means that in the box plot the distance between the mean and the first quartile is small and the distance between the median and the third quartile is large.

Therefore the (4) boxplot is matching to first histogram.

Step 3 of 5:

From the histogram (b) we can see that it is skewed left and there is an outliers.

Which means that in the box plot the distance between the mean and the first quartile is large and the distance between the median and the third quartile is small.

Therefore the (2) boxplot is matching to second histogram.