To find the increase in the median number of push-ups, we first need to find the medians for each week.
For Week 1:
Arranging the data in ascending order: 5, 5, 6, 8, 8, 8, 9, 10, 11, 15
The median is the middle number, which is 8.
For Week 2:
Arranging the data in ascending order: 7, 8, 9, 9, 10, 10, 11, 11, 12, 18
The median is the average of the middle two numbers, which are 10 and 11. Therefore, the median is (10 + 11)/2 = 10.5.
Therefore, the increase in the median number of push-ups from Week 1 to Week 2 is 10.5 - 8 = 2.5.
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)
1 answer