Ten randomly selected people were asked to join a fitness group. Over the next two weeks, they were tested on how many push-ups they could do. The data shows the number of push-ups they did over the two weeks. From the first to the second week, what was the increase in the median number of push-ups? Week 1: 5, 8, 10, 11, 6, 8, 9, 15, 5, 8 Week 2: 7, 9, 11, 12, 8, 10, 11, 18, 9, 10 (1 point)

Answer 1

To find the increase in the median number of push-ups from the first week to the second week, we first need to find the median for each week.

Week 1 median:
First, we need to arrange the numbers in ascending order: 5, 5, 6, 8, 8, 8, 9, 10, 11, 15
The median is the middle number in the ordered list, which is 8.

Week 2 median:
First, we need to arrange the numbers in ascending order: 7, 8, 9, 9, 10, 10, 11, 11, 12, 18
The median is the average of the two middle numbers, which are 10 and 11. So, the median is (10 + 11) / 2 = 10.5.

The increase in the median number of push-ups from the first week to the second week is 10.5 - 8 = 2.5.

Therefore, the increase in the median number of push-ups from the first week to the second week is 2.5.