For the data set 9, 13, 14, 15, 15, 18, the mean is 14. What is the mean
absolute deviation?
A. The mean absolute deviation is 6.
B. The mean absolute deviation is 2.
C. The mean absolute deviation is 12.
ОО
D. The mean absolute deviation is 14.

Respuesta :

Answer:

its B if you are doing the big test

Step-by-step explanation:

The mean absolute deviation is 2.

What is mean absolute deviation?

'The mean absolute deviation is the mean distance between each data value and the mean of the data set.'

According to the given problem,

Mean of the given data set = 14

Absolute deviation of mean from each data point,

⇒ ( 9 - 14 ) = 5

⇒ ( 13 - 14 ) = 1

⇒ ( 14 - 14 ) = 0

⇒ ( 15 - 14 ) = 1

⇒ ( 15 - 14 ) = 1

⇒ ( 18 - 14 ) = 4

Mean absolute deviation = [tex]\frac{5+1+0+1+1+4}{6}[/tex]

                                          = [tex]\frac{12}{6}[/tex]

                                          = 2

Hence, we can conclude, the mean absolute deviation of the given data set is 2.

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