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
First, let's find the median number of push-ups for each week:
Week 1: 5, 8, 10, 11, 6, 8, 9, 15, 5, 8
Arranging the data in ascending order: 5, 5, 6, 8, 8, 8, 9, 10, 11, 15
The median is the middle number, so the median for week 1 is 8.
Week 2: 7, 9, 11, 12, 8, 10, 11, 18, 9, 10
Arranging the data in ascending order: 7, 8, 9, 9, 10, 10, 11, 11, 12, 18
The median is the average of the two middle numbers (10 and 10), so the median for week 2 is 10.
Now, let's calculate the increase in the median number of push-ups from the first to the second week:
Increase in median number of push-ups = Median number of push-ups in week 2 - Median number of push-ups in week 1
Increase in median number of push-ups = 10 - 8 = 2
Therefore, the increase in the median number of push-ups from the first to the second week is 2.