The mean deviation about the median is ...... | vedclass

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(B) The mean deviation of a data set is defined as the average of the absolute deviations of the observations from a central value $M$. Mathematically

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less than the mean deviation about any other central value.

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(B) The mean deviation of a data set is defined as the average of the absolute deviations of the observations from a central value $M$. Mathematically,the mean deviation about $M$ is given by $MD(M) = \frac{1}{n} \sum_{i=1}^{n} |x_i - M|$. It is a well-established statistical property that the sum of absolute deviations $\sum |x_i - M|$ is minimized when $M$ is the median of the data set. Therefore,the mean deviation about the median is the minimum possible mean deviation compared to any other central value.

$x_i$	$3$	$9$	$17$	$23$	$27$
$f_i$	$8$	$10$	$12$	$9$	$5$

The mean deviation about the median is $..........$

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