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?

Question

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

First, we need to find the median number of push-ups for each week:

For Week 1:
5, 5, 6, 8, 8, 8, 9, 10, 11, 15

The median is the middle value when the numbers are arranged in ascending order. Since we have an even number of values, we average the two middle values:
Median = (8 + 9) / 2 = 8.5

For Week 2:
7, 8, 9, 9, 10, 10, 11, 11, 12, 18

The median is the middle value when the numbers are arranged in ascending order:
Median = 10

The increase in the median number of push-ups from the first week to the second week is:
10 - 8.5 = 1.5

Therefore, the increase in the median number of push-ups from the first week to the second week is 1.5.