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?

Question

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 increase in the median number of push-ups from Week 1 to Week 2, we first need to calculate the median for each week.

Week 1 data: 5, 8, 10, 11, 6, 8, 9, 15, 5, 8

1. Sort the data:

   • Sorted Week 1: 5, 5, 6, 8, 8, 8, 9, 10, 11, 15

2. Find the median:

   • The median is the average of the 5th and 6th values.
   • The 5th value is 8 and the 6th value is 8.
   • Median (Week 1) = (8 + 8) / 2 = 8

Week 2 data: 7, 9, 11, 12, 8, 10, 11, 18, 9, 10

1. Sort the data:

   • Sorted Week 2: 7, 8, 9, 9, 10, 10, 11, 11, 12, 18

2. Find the median:

   • The median is the average of the 5th and 6th values.
   • The 5th value is 10 and the 6th value is 10.
   • Median (Week 2) = (10 + 10) / 2 = 10

Now, calculate the increase in the median from Week 1 to Week 2:

• Increase in median = Median (Week 2) - Median (Week 1) = 10 - 8 = 2

Therefore, the increase in the median number of push-ups from Week 1 to Week 2 is 2 push-ups.