Use the data to answer the question below.
size of shoe: 8,7,8.5,6.5,5,11,15,8,8,7.5,6.5,8,1 4,12

Step-by-step explanation:

Mean: 8 + 7 + 8.5 + 6.5 + 5 + 11 + 15 + 8 + 8 + 7 + 7.5 + 6.5 + 8 + 14 + 12 = 132 / 15 = 8.8

Median: You have to arrange the numbers first in ascending order.

5, 6.5, 6.5, 7, 7, 7.5, 8, 8, 8, 8, 8.5, 11, 12, 14, 15

The median is 8 because that is the middle value/number.

Mean Absolute Deviation:

Get the average/mean (1), find the deviation (2) to get MAD (3).

Step #1 Mean = 8.8

Step #2 To get the deviation, you subtract the mean from the values given.

8 - 8.8 = -0.8

7 - 8.8 = -1.8

8.5 - 8.8 = -0.3

6.5 - 8.8 = -2.3

5 - 8.8 = -3.8

11 - 8.8 = 2.2

15 - 8.8 = 6.2

8 - 8.8 = -0.8

8 - 8.8 = -0.8

7 - 8.8 = -1.8

7.5 - 8.8 = -1.3

6.5 - 8.8 = -2.3

8 - 8.8 = -0.8

14 - 8.8 = 5.2

12 - 8.8 = 3.2

Step #3 Get the summation from step #2, and get its average. Disregard the negative signs.

0.8 + 1.8 + 0.3 + 2.3 + 3.8 + 2.2 + 6.2 + 0.8 + 0.8 + 1.8 + 1.3 + 2.3 + 0.8 + 5.2 + 3.2 = 33.6 / 15 = 2.24 is the Mean Asolute Deviation

Median Absolute Deviation:

Get the median (1) and subtract it from the values (2). Get the median of the new values (3)

Step #1 Median = 8

Step #2

8 - 8 = 0

7 - 8 = -1

8.5 - 8 = 0.5

6.5 - 8 = -1.5

5 - 8 = -3

11 - 8 = 3

15 - 8 = 7

8 - 8 = 0

8 - 8 = 0

7 - 8 = -1

7.5 - 8 = -0.5

6.5 - 8 = -1.5

8 - 8 = 0

14 - 8 = 6

12 - 8 = 4

Step #3 Arrange the numbers in ascending order.

-3, -1.5, -1.5, -1, -1, -0.5, 0, 0, 0, 0, 0.5, 3, 4, 6, 7

The Median Absolute Deviation is 0 since it is the middle value/number.

It is important that you calculate this by yourself in case I did some careless mistakes.

step-by-step explanation: