Question

Find the mean absolute deviation in the following data set: 23, 42, 36, 63, 31

Answer 1

Answer:

10.8

Step-by-step explanation:

To find the mean absolute deviation, first you need to find the mean. To find the mean, add up 23 + 42 + 36 + 63 + 31 and you'll get 195. Divide 195 by the total of numbers, which is 5, and you'll get 39.

After finding the mean, you need to find the distance between the mean, which is 39, and the numbers given. 23 is 16, 42 is 3, 63 is 24, 31 is 8, and 36 is 3. Then, you'll need to calculate the mean of the distances that you got.

16 plus 3 plus 24 plus 8 plus 3 = 54. Once you got this, divide 54 by the total of numbers, which is 5, and you'll get 10.8.

Answer 2

Answer:

39.2 is the mean

the deviation is 15.2

Step-by-step explanation:

the mean of a set of numbers is the sum divided by the number of terms = 39.2

the deviation measures the spread of a data distribution of the sample = 15.2