Question

calculate the mean deviation about the median of the following observations
3011, 2780, 2020, 2754, 3541, 4150 ,5000​

Answer 1

Step-by-step explanation:

(i) 3011, 2780, 3020, 2354, 3541, 4150, 5000

To calculate the Median (M), let us arrange the numbers in ascending order.

Median is the middle number of all the observation.

2354, 2780, 3011, 3020, 3541, 4150, 5000

So, Median = 3020 and n = 7

By using the formula to calculate Mean Deviation,

MD = 1/n ∑ni = 1 |di|

xi |di| = |xi – 3020|

3011 9

2780 240

3020 0

2354 666

3541 521

4150 1130

5000 1980

Total 4546

MD = 1/n ∑ni=1|di|

= 1/7 × 4546

= 649.42

∴ The Mean Deviation is 649.42.