Find the mean of following frequency distribution by using step-deviation method.
class interval 0-10,10-20,20-30,30-40, 40-50,50-60
Frequency 3,5,8,12,2,5
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Answered by
1
Answer:
C.I. Frequency (f
i
) Mid-value(x) d
i
=
h
x−a
f
i
d
i
20−30 10 25 −2 −20
30−40 6 35 −1 −6
40−50 8 45 0 0
50−60 12 55 1 12
60−70 5 65 2 10
70−80 9 75 3 27
∑f
i
=50 ∑f
i
d
i
=23
Here, a=45 and h=10
∴ Mean =a+
∑f
i
∑f
i
d
i
×h
=45+
50
23
×10
=45+4.6=49.6
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