The distances (in yards) for nine holes of a golf course are listed below.

336

393

409

523

146

503

178

374

360

Complete parts (a) through (d) below.

(a) Find the mean and median of the data.

The mean of the data is:

The median of the data is:

(b) Convert the distances to feet. Then rework part (a).

The mean of the data in feet is:

The median of the data in feet is:

(c) Compare the measures you found in part (b) with those found in part (a). What do you notice? Choose one of the following:

A. The mean and median in part (b) are three times the mean and median in part (a).

B. The mean and median in part (b) are not the mean and median in part (a) expressed in feet.

C. The difference between the mean in part (b) and the mean in part (a) is equal to the similar difference between the medians.

D. The ratio of the mean in part (b) to the mean in part (a) is not equal to the similar ratio of the medians.

(d) Use your results from part (c) to explain how to quickly find the mean and median of the given data set when the distances are converted to inches. Choose one of the following:

A. If you convert all the distances to feet and then rework part (a), it will be the quickest way to obtain the mean and the median in inches.

B. If you multiply the mean and median from part (a) by 3, you will get the mean and median of the data set in inches.

C. If you multiply the mean and median from part (a) by 12, you will get the mean and median of the data set in inches.

D. If you multiply the mean and median from part (b) by 12, you will get the mean and median of the data set in inches.