Find the mean deviation from the median for the following data :
Find the mean deviation from the median for the following data :
xi 15 21 27 30
fi 3 5 6 7

 

Answer:

N = 21

Median = (21)/2 = 10.5

Median Corresponding to 10.5 is 27

xi fi Cumulative Frequency |di| = |xi – M| fi |di|
15 3 3 15 45
21 5 8 9 45
27 6 14 3 18
30 7 21 0 0
Total = 21 Total = 46 Total = 108

N = 21

 

= 1/21 × 108

= 5.14

∴ The mean deviation is 5.14