Question

Calculate mean deviation from median for thefollowing data:
23, 41, 29, 53, 38

Answer 1

(23,29,38,41,53)/5
=36.8

Answer 2

Answer:

8.4

Step-by-step explanation:

Given Calculate mean deviation from median for the following data:

23, 41, 29, 53, 38

Now first we need to calculate median of the following numbers.

So arrange the numbers in ascending order. We get

23, 29, 38, 41, 53

We have 5 numbers, so it will be odd. Now the median will be n + 1 / 2 = 5 + 1 / 2 = 6/2 = 3

Now median is 38.

Now mean deviation = 1/5 ∑ │xi – M │

M.D = │23 - 38 │+ │29 - 38 │+ │38 - 38│+ │41 - 38 │+ │53 - 38 │ /  5

M.D = │- 15│+ │- 9│+ 0 + │3│+ │15│/ 5

M.D = 15 + 9 + 0 + 3 + 15 / 5

M.D = 42 / 5

So mean deviation = 8.4