The two box plots below summarize the ages of men and women during their first marriage over the course of one year. The top box plot summarizes the ages of women, while the bottom box plot summarizes the ages of men.

What is the sum of the IQR of the top data set and the IQR of the bottom data set?

Given:

Given that the two box plots summarize the ages of men and women during their first marriage over the course of one year.

We need to determine the sum of IQR of the top data set and the IQR of the bottom data set.

IQR of the top data set:

The IQR on the top represents the ages of women.

The IQR of the top data set is given by

Thus, the IQR of the top data set is 5.

IQR of the bottom data set:

The IQR on the bottom represents the ages of men.

The IQR of the bottom data set is given by

Thus, the IQR of the bottom data set is 6.

Sum of the IQR:

The sum of the IQR of top data set and the bottom data set is given by

Therefore, the sum of the IQR of top data set and the bottom data set is 11.

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