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) bot
The median for week 1 is 8, and the median for week 2 is 10. The increase in median number of push-ups is 2.
To find the increase in the median number of push-ups from the first week to the second week, follow these steps:
Step 1: Arrange the data from each week in ascending order:
Week 1: 5, 5, 6, 8, 8, 8, 9, 10, 11, 15
Week 2: 7, 8, 9, 10, 10, 11, 11, 12, 18
Step 2: Find the median for each week:
Week 1: Median = (8 + 8) / 2 = 8
Week 2: Median = (10 + 10) / 2 = 10
Step 3: Calculate the increase in the median:
Increase = Week 2 median - Week 1 median
Increase = 10 - 8
Increase = 2
Therefore, there was an increase of 2 in the median number of push-ups from the first week to the second week.