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

Answer:

2.3

Step-by-step explanation:

n = Number of data points = $9$

The data set is

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

Mean

$\bar{x}=\dfrac{4+7+5+8+12+2+3+5+7}{9}=5.89$

Absolute mean deviation

$\dfrac{|4-5.89|+|7-5.89|+|5-5.89|+|8-5.89|+|12-5.89|}{9}\\+\dfrac{|2-5.89|+|3-5.89|+|5-5.89|+|7-5.89|}{9}=2.3$

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