Find the mean deviation from the median for the following data :
Find the mean deviation from the median for the following data :
xi 74 89 42 54 91 94 35
fi 20 12 2 4 5 3 4

 

Answer:

N = 50

Median = (50)/2 = 25

Median Corresponding to 25 is 74

xi fi Cumulative Frequency |di| = |xi – M| fi |di|
74 20 4 39 156
89 12 6 32 64
42 2 10 20 80
54 4 30 0 0
91 5 42 15 180
94 3 47 17 85
35 4 50 20 60
Total = 50 Total = 189 Total = 625

N = 50

 

= 1/50 × 625

= 12.5

∴ The mean deviation is 12.5