The mean deviation about the mean for the following data: 5 , 6 , 7 , 8 , 6 , 9 , 13 , 12 , 15 is

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The mean deviation about the mean for the following data:

5, 6, 7, 8, 6, 9, 13, 12, 15

is

MathematicsStatisticsAP EAMCETAP EAMCET 2022 (04 Jul Shift 1)

Options:

A $1.55$
B $2.88$
C $3.89$
D $5$

Solution:

1492 Upvotes Verified Answer

The correct answer is:

2.88

Mean, $\bar{x} = \frac{5 + 6 + 7 + 8 + 6 + 9 + 13 + 12 + 15}{9} = 9$
Mean deviation about mean, $\frac{\sum_{}^{} |x_{i} - \bar{x}|}{N} = \frac{4 + 3 + 2 + 1 + 3 + 0 + 4 + 3 + 6}{9}$
$= \frac{26}{9} = 2.88$

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