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defon
3 years ago
14

What is the mean absolute deviation of the data set? 2, 2, 5, 6, 8, 4, 8, 5

Mathematics
1 answer:
DedPeter [7]3 years ago
7 0

ANSWER

The mean absolute deviation is 1.75

EXPLANATION

The given date set is 2, 2, 5, 6, 8, 4, 8, 5

The mean is

\bar X =  \frac{2 + 2 + 5 + 6 + 8 + 4 + 8 + 6}{8}  = 5

The mean absolute value deviation is given by:

=\frac{ \sum |x -\bar X| }{n}

=  \frac{ | 2 - 5|  +  |2 - 5|+  |5- 5|+  |6 - 5|+  |8 - 5| +  |4 - 5|+  |8- 5|+  |5 - 5| }{8}

=  \frac{ 3  +  3+ 0+  1+  3 + 1+3+  0}{8}

=  \frac{14}{8}

= 1.75

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