The mean deviation from the median is _________ that is measured from any other value.(a) equal to(b) less than(c) greater than(d) none of these

To solve this question, let's first understand what "mean deviation from the median" means and compare it to the mean deviation from any other value.

Mean Deviation from Median: The mean deviation is the average of the absolute differences between each data point and the median of the data set.

Mean Deviation from Other Values: Similarly, the mean deviation from any other value (like the mean, mode, or any other chosen value) is the average of the absolute differences between each data point and that particular value.

Key Concept:
The median minimizes the sum of absolute deviations in a data set. This means that when you calculate the mean deviation from the median, you get the smallest possible value for the sum of absolute deviations.
Any other value will result in a larger sum of absolute deviations compared to the median.
Explanation:
If we calculate the mean deviation from any value other than the median, the sum of absolute deviations will be larger, as the median is the point where the total absolute deviation is minimized.
Therefore, the mean deviation from the median is always less than the mean deviation from any other value.
Conclusion:
The correct answer is (b) less than.