Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

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.

For week 1:
Arranging the numbers in ascending order: 5, 5, 6, 8, 8, 9, 10, 11, 15
The median for week 1 is the middle number, which is 8.

For week 2:
Arranging the numbers in ascending order: 7, 8, 9, 9, 10, 10, 11, 11, 12, 18
The median for week 2 is the average of the two middle numbers, which are 10 and 11. So, the median for week 2 is (10 + 11) / 2 = 10.5.

The increase in the median number of push-ups from week 1 to week 2 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.