Question

18.
Find the mean deviation from the median for the data
74
89
42
54
91
94
35
fi:
20
12
2
4
5
3
4​

Answer 1

Answer:

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Step-by-step explanation:

To find the mean deviation from the median, firstly let us calculate the median. We know, N = 50 Median = (50)/2 = 25 So, the 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 MD = 1/n ∑ni=1|di| = 1/50 × 625 = 12.5 ∴ The mean deviation is 12.5