Find the mean deviation according to median of the given data sets…

Explanation:

We need to use the mean deviation about the median formula for individual data i.e.,

M.D. (about median) = Σ|X–Median| / N

where X is each value in the data set, Median is the middle value of the data set, and N is the number of values in the data set.

To find the median, we need to arrange the data set in ascending order and then find the middle value. If there are an even number of values, we take the average of the middle two values.

The data set in ascending order is: 3, 7, 8, 42, 42, 47, 47, 95, 96

The number of values is 9, which is odd, so the median is the 5th value, which is 42.

To find the mean deviation, we need to subtract the median from each value and take the absolute value, then sum up all the deviations and divide by the number of values.

The deviations are: |3 - 42|, |7 - 42|, |8 - 42|, |42 - 42|, |42 - 42|, |47 - 42|, |47 - 42|, |95 - 42|, |96 - 42|

The sum of the deviations is: 39 + 35 + 34 + 0 + 0 + 5 + 5 + 53 + 54 = 225

The mean deviation is:

225 / 9 = 25

Therefore, the mean deviation according to median of the given data set is 25.