The mean of the following distribution is 18. Find the frequency f of the class 19 – 21. Class 11-13 13-15 15-17 17-19 19-21 21-23 23-25 Frequency 3 6 9 13 f 5 4
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F=8
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Class Interval Mid Value
x
i
Frequency
f
i
f
i
x
i
11 - 13 12 3 36
13 - 15 14 6 84
15 - 17 16 9 144
17 - 19 18 13 234
19 - 21 20 f 20 f
21 - 23 22 5 110
23 - 25 24 4 6
∑f=40+f ∑fx=704+20f
Given : Mean =18
We know, Mean (
x
)=
Σf
Σfx
⟹18=
40+f
704+20f
⟹18(40+f)=704+20f
⟹720+18f=704+20f
⟹720−704=20f−18f
⟹2f=16
⟹f=8
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