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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.

Sagot :

boffeemadrid

Answer:

2.3

Step-by-step explanation:

n = Number of data points = [tex]9[/tex]

The data set is

[tex]4, 7, 5, 8, 12, 2, 3, 5, 7[/tex]

Mean

[tex]\bar{x}=\dfrac{4+7+5+8+12+2+3+5+7}{9}=5.89[/tex]

Absolute mean deviation

[tex]\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[/tex]

The mean absolute deviation of the data set is [tex]2.3[/tex].

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