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Question

Find out mean deviation and its coefficient of the following data:
Items 5 10 15 20 25 30 35 40
Frequency 8 16 18 22 14 9 6 7


Solution

Items (X) Frequency (f) fX Deviation from Mean
X-X= dX
fdX
5
10
15
20
25
30
35
40
8
16
18
22
14
9
6
7
40
160
270
440
350
270
210
280
15.2
10.2
5.2
0.2
4.8
9.8
14.8
19.8
121.6
163.2
93.6
4.4
67.2
88.2
88.8
138.6
  Σf = 100 Σfx = 2020   ΣfdX=765.6

(a) Mean (X¯)=ΣfxΣf=2020100=20.2

(b) Mean deviation from Arithmetic Mean

MDX=ΣfdXΣf=765.6100=7.656

(c) Coefficient of MDX¯ =MDXX=7.65620.2=0.379=0.38 approx.

Economics
TR Jain (2018)
Standard XI

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