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If the mean of the observation x, x+3, x...

If the mean of the observation `x``,` `x+3``,` `x+5``,` `x+7` and `x+10` is `9``,` then mean of the last three observations is

A

`10(1)/(3)`

B

`10(2)/(3)`

C

`11(1)/(3)`

D

`11(2)/(3)`

Text Solution

Verified by Experts

Mean = 9
`rArr (x+x+3+x+5+x+7+x+10)/(5) = 9`
`rArr 5x+25 = 45`
`rArr x = 4`
Last three observations are 4+5, 4+7, 4+10 i.e., 9,11,14
` "Mean"= (9+11+14)/(3) = (34)/(3) = 11(1)/(3)`
Hence, (c) is the correct answer.
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