Question

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

Which of the following statements accurately describes the change in the data set after Jamie did pushups for three more days?

a) The mean and median both increased by 3.

b) The mean increased by 3, but the median increased by 1.

c) The mean remained the same, but the median increased by 1.

d) The mean increased by 1, but the median remained the same.

Answer 1

The addition of pushups does not affect the mean, but increases the median by 1.

Step-by-step explanation:

To solve this problem, we need to understand the concepts of mean and median. The mean is the average of a set of numbers, while the median is the middle value when the numbers are arranged in ascending or descending order.

In this case, the addition of three more days of pushups does not affect the mean, which means the average number of pushups remains the same. However, the median, which represents the middle value, increases by 1.

Therefore, the correct answer is (c) The mean remained the same, but the median increased by 1.