Mean of the following data is 20 then, find p.
x
15
17
15
19
20+ P
23
f
2
6
3
4
5p
6
Answers
Answer:
Answer
Given that
Mean of the distribution is 20
i.e., mean=20
x 15 17 19 20+P 23
f 2 3 4 5P 6
We have to pepare a table
x f fx
15 2 30
17 3 51
19 4 76
20+P 5P 100P+5P
2
23 6 138
We know (By direct method of mean)
Mean= Sigma fi/Sigma fixi
∴∑f=15+5P
∑fx=295+100P+5P
2
∴ from (1)
20=
15+5P
295+100P+5P
2
⇒295+100P+5P
2
=20(15+5P)
⇒295+100P+5P
2
=300+100P
5P
2
=300−295
5P
2
=5
P
2
=1
∴P=1
Value of P=1.
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Answer:
20x/20=p
p=20x/20
p=x
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