Question

Bobby calculates the mean number of goals for each of the players on a hockey team in the set {4, 7, 5, 8, 12, 2, 3, 5, 7}. Determine the mean absolute deviation (MAD) of goals for this team. Round your answers to the nearest tenth.

Answer 1

2.3

Explanation:

n = Number of data points =
`9`

The data set is

`4, 7, 5, 8, 12, 2, 3, 5, 7`

Mean

`\bar{x}=(4+7+5+8+12+2+3+5+7)/(9)=5.89`

Absolute mean deviation

`(|4-5.89|+|7-5.89|+|5-5.89|+|8-5.89|+|12-5.89|)/(9)\\+(|2-5.89|+|3-5.89|+|5-5.89|+|7-5.89|)/(9)=2.3`

The mean absolute deviation of the data set is
`2.3`.