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If the ratio of mean and median of a ...

If the ratio of mean and median of a certain data is 2:3, then find the ratio of its mode and mean.

A

`4:3`

B

`7:6`

C

`7:8`

D

`5:2`

Text Solution

Verified by Experts

The correct Answer is:
D
We have,
`("Mean")/("Median")=(2)/(3) rArr "Mean" =2lambda " and Median"=3lambda`
`therefore " Mode"=3" Median"-2" Mean"`
`rArr "Mode"=9lambda -4lambda=5lambda`
`therefore "Mode": "Mean"=5lambda:2lambda=5:2`
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