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.

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

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