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If the mean of the following distributio...

If the mean of the following distribution is 2.6, then the value of `y` is Variable `(x)` : 1 2 3 4 5 Frequency `(y)` : 4 5 `y` 1 2 (a) 3 (b) 8 (c) 13 (d) 24

A

3

B

8

C

13

D

24

Text Solution

Verified by Experts

The correct Answer is:
B
We have,
Mean`=2.6`
`rArr (1xx4+2xx5+3y+4xx1+5xx2)/(4+5+y+1+2)=2.6`
`rArr (3y+28)/(12+y)=2.6`
`rArr 3y+28=31.2+26y rArr 0.4y=3.2 rArr y=8`
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