The mean deviation from the mean for the data | vedclass

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(A) Step $1$: Calculate the mean of the data. $	ext{Mean} = \frac{6+7+10+12+13+4+12+16}{8} = \frac{80}{8} = 10$. Step $2$: Calculate the mean deviati

Vedclass · Accepted Answer

$3.25$

Vedclass · Answer

(A) Step $1$: Calculate the mean of the data. $	ext{Mean} = \frac{6+7+10+12+13+4+12+16}{8} = \frac{80}{8} = 10$. Step $2$: Calculate the mean deviation from the mean using the formula $\frac{1}{n} \sum |x_i - \bar{x}|$. $	ext{Mean Deviation} = \frac{|6-10| + |7-10| + |10-10| + |12-10| + |13-10| + |4-10| + |12-10| + |16-10|}{8}$ $= \frac{4 + 3 + 0 + 2 + 3 + 6 + 2 + 6}{8} = \frac{26}{8} = 3.25$.

Marks obtained	$0-20$	$20-40$	$40-60$	$60-80$	$80-100$
Number of students	$10$	$8$	$12$	$9$	$11$

The mean deviation from the mean for the data $6, 7, 10, 12, 13, 4, 12, 16$ is

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