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 (1 point) push-ups

Question

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 (1 point) push-ups

Answer 1

To find the median number of push-ups for each week, we first need to arrange the data in numerical order:

Week 1: 5, 5, 6, 8, 8, 8, 9, 10, 11, 15
Week 2: 7, 8, 9, 9, 10, 10, 11, 11, 12, 18

For Week 1, the median is the middle number, which is 8.
For Week 2, the median is the average of the two middle numbers, which are 10 and 11. Therefore, 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 push-ups.