The mean absolute deviation of the given data 10, 4, 12, 4, 2, 10, 10, 6 is 3.1875.
According to the given question.
The given data set is
10, 4, 12, 4, 2, 10, 10, 6
Mean of the given data set
= (10 + 4 + 12 + 4 + 2 + 10 + 10 + 6)/8
= 7.25
Now, the absolute values are:
|10 - 7.25| = 2.75
|4 - 7.25| = 3.25
|12 -7.25| = 4.25
| 4 - 7.25| = 3.25
| 2 - 7.25| = 5.25
| 10 - 7.25| = 2.75
| 10 - 7.25| = 2.75
| 6 - 7.25| = 1.25
The average of all absolute values
= (2.75 + 3.25 + 4.25 + 3.25 + 5.25 + 2.75 + 2.75 + 1.25)/8
= 25.5/8
= 3.1875
Therefore, the mean absolute deviation of the given data 10, 4, 12, 4, 2, 10, 10, 6 is 3.1875.
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