2. / Find out the mean deviation from mean and
median from the following series.
Age (in years) 0-10 10-20 20-30 30-40
No. of persons 20 25 32 40
Age (in years) 40-50 50-60 60-70 70-80
No. of persons 42 35 10 08
Also compute co-efficient of mean deviation
Answers
Given : Age (in years) 0-10 10-20 20-30 30-40
No. of persons 20 25 32 40
Age (in years) 40-50 50-60 60-70 70-80
No. of persons 42 35 10 08
To Find : mean deviation from mean
Solution:
Age Mean X personsf fX
0-10 5 20 100
10-20 15 25 375
20-30 25 32 800
30-40 35 40 1400
40-50 45 42 1890
50-60 55 35 1925
60-70 65 10 650
70-80 75 08 600
212 7740
∑ f = 212
∑fX = 7740
Mean = ∑fX/∑ f
Mean = 7740/212 = 36.5
f |X-Mean| f. |X-Mean|
20 31.5 630
25 21.5 537.5
32 11.5 368
40 1.5 60
42 8.5 357
35 18.5 647.5
10 28.5 285
8 38.5 308
3193
Mean deviation from Mean = ∑f |X-Mean| / ∑ f
mean deviation from mean = 3193/212 = 15.06
co-efficient of mean deviation = 15.06/36.5 = 0.41
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