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
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 medians of each week.
For Week 1:
Arranging the numbers in ascending order: 5, 5, 6, 8, 8, 8, 9, 10, 11, 15
Median = (8 + 9)/2 = 8.5
For Week 2:
Arranging the numbers in ascending order: 7, 8, 9, 9, 10, 10, 11, 11, 12, 18
Median = (10 + 10)/2 = 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.