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The mean of the following distribution i...

The mean of the following distribution is `4.` Find the value of `q.`
`{:(x,2,3,4,5,7),(f,4,4,2,3,q):}`

A

`2`

B

`3`

C

`0`

D

`4`

Text Solution

Verified by Experts

The correct Answer is:
B
`{:(x,f,fx),(2,4,8),(3,4,12),(4,2,18),(5,3,15),(7,q,7q):}`
Here `sum fx = 43 +7q`
`sum f = 13 + q`
We know that, AM `= (sum fx)/(sum f)`
`4 = (43 + 7q)/(13 +q)`
52 + 4q = 43 + 7q `rArr` 3q = 9 `rArr` q = 3.
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