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For the data set 7, 10, 10, 14, 14, 17, the mean is 12. What is the meanabsolute deviation?A. The mean absolute deviation is 6.B. The mean absolute deviation is 12.C. The mean absolute deviation is 18.OD. The mean absolute deviation is 3.

For the data set 7 10 10 14 14 17 the mean is 12 What is the meanabsolute deviationA The mean absolute deviation is 6B The mean absolute deviation is 12C The me class=


Answer :

Given the set of number:

7, 10, 10, 14, 14, 17,

We had the mean as 12.

we are to find the mean absolute deviation.

in order to get the mean absolute deviation (MAD), we need to know its formular first.

Mean Absolute Deviation (MAD) = 1/n{|x-m|

where:

{ = summation

n = total number of data

x = the values given

m = mean

MAD = 1/6(|7-12| + |10-12| + |10-12| + |14-12| + |14-12| + |17-12)

MAD = 1/6(|-5| + |-2| + |-2| + |2| + |2| + |5|)

MAD = 1/6(18)

MAD = 3

Therefore, option is option D.

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