number of points per game\nthis year\nlast year\n9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25\nnumber…

number of points per game\nthis year\nlast year\n9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25\nnumber of points scored\nhow can the difference in the medians from these two years be expressed?\na it is half of the interquartile range for this year.\nb it is half of the interquartile range from last year.\nc it is the same as the interquartile range from last year.\nd it is the same as the interquartile range for this year.

number of points per game\nthis year\nlast year\n9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25\nnumber of points scored\nhow can the difference in the medians from these two years be expressed?\na it is half of the interquartile range for this year.\nb it is half of the interquartile range from last year.\nc it is the same as the interquartile range from last year.\nd it is the same as the interquartile range for this year.

Answer

Explanation:

Step1: Recall box - and - whisker plot properties

In a box - and - whisker plot, the box represents the inter - quartile range (IQR) and the line inside the box represents the median.

Step2: Analyze the box - and - whisker plots

Let's assume the median for this year is $M_1$ and for last year is $M_2$. By observing the box - and - whisker plots, we can see that the difference $|M_2 - M_1|$ is equal to the length of the box (IQR) for this year.

Answer:

D. It is the same as the interquartile range for this year.