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

5 answers

To find the median, we need to first put the numbers in order from least to greatest:

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

The median of week 1 is 8, and the median of week 2 is 10. The increase in the median number of push-ups is 10 - 8 = 2 push-ups.
The range of the number of push-ups people did in Week 1 is 10.
The range of the number of push-ups people did in Week 2 is 11
The range of the number of push-ups people did in Week 1 is 10
ANSWER FOR PRACTICE!

1. 25.5
37

2. 20
40

3. 26
25

4. 2

5. 10
11
ANSWERS FOR THE QUICK CHECK!

1. Cats, because the range of their weights is less than that of small dogs

2. 1 pound

3. Class 1 has a higher median than Class 2 by 1 mile

4. The ranges of the time taken by Group A and Group B are the same

5. Fertilizer B is generally more...