Question

Jamie did push-ups for three more days. The addition of the number of push-ups has no effect on the mean number of push-ups Jamie did, but the median number of push-ups increased by 1.

A. The mean and median both increased.
B. The mean increased, but the median stayed the same.
C. The mean stayed the same, but the median increased.
D. Both the mean and median stayed the same.

Answer 1

The mean stayed the same, but the median increased.

Step-by-step explanation:

The correct answer is C. The mean stayed the same, but the median increased.

In this scenario, the addition of the number of push-ups does not affect the mean, which means the average number of push-ups remains the same. However, since the median is the middle value in a set of data, when the number of push-ups increases, the new data point becomes the new middle value, causing the median to increase by 1.

For example, let's say Jamie did 5 push-ups each day for the first three days. The original median is 5. If Jamie did 3 more push-ups on the fourth day, the new median would be (5+5+5+8)/4 = 5.75, which is 1 higher than the original median of 5.