Question

1. Charles and Cole measured the height of each of their dogs. The heights (at the

shoulders) are shown in the table below.
Height of Dogs (inches)
22
15
12
10
16
Find the mean absolute deviation of the height of the dogs.
O A. 15
OB. 10
OC. 3.2
OD. none of these

Answer 1

C. 3.2

Explanation:

Heights of dogs: 10, 22, 15, 12, 16

✔️Find the mean of the data set =
`(10 + 22 + 15 + 12 + 16)/(5) = (75)/(5) = 15`

✔️Find |data value - mean|:

|10 - 15| = 5

|22 - 15| = 7

|15 - 15| = 0

|12 - 15| = 3

|16 - 15| = 1

✔️Find the sum of |data value - mean| and divide by 10:

`(5 + 7 + 0 + 3 + 1)/(5) = (16)/(5) = 3.2`

✅M.A.D = 3.2