Question

Find mean deviation about Median for the following data :
5, 10, 2, 17, 3.

Answer 1

median=(5+10+2+17+3)/5
=37/5
=7.4

Answer 2

Answer:

Mean deviation about mean = 44.

Step-by-step explanation:

As per the question,

Given data:

5, 10, 2, 17, 3

First arrange the given data in ascending order, we get

2, 3, 5, 10, 17

Total number of observation = 5 that is odd.

Median for odd observation is given as,

$M=(\frac{n+1}{2})^{th} \ observation$

Therefore,

M = 3rd observation

∴ Median = 5

Now for mean deviation about mean is given by,

$Mean \ deviation\ abot\ mean = \frac{\sum x_{i}-M}{Total\ number\ of\ observation}$

$Mean \ deviation\ abot\ mean = \frac{\left | 2-5 \right |+\left | 3-5 \right |+\left | 5-5 \right |+\left | 10-5 \right |+\left | 17-5 \right |}{5}$

∴ M.D = 4.4

Hence,  mean deviation about Median = 4.4