Q74 / 160 · AP EAMCET 2022 (04 Jul Shift 1) · Mathematics

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

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

Solution

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

Hence, the correct answer is option: 'B'.

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

Solution

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