The mean of the following frequency distribution is 17 :
Class
11-13
13 - 15
15 - 17
17 - 19
19-21
21-23
23-25
Frequency
7
6
13
9
f
1
Find the missing frequency f.
Answers
Answered by
5
Answer:
missing frequency is 8
Step-by-step explanation:
STATISTICS
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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ANSWER
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
Answered by
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Step-by-step explanation:
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