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

If the ratio of mode and median of a certain data is 6:5, then find the ratio of its mean and median.

A

`8:9`

B

`9:10`

C

`9:7`

D

`8:11`

Text Solution

Verified by Experts

The correct Answer is:
B
We have,
`"Mode" :"Median"=6.5 rArr Mode =6lambda, "Median"=5lambda`
Now,
` "Mode"=3 " Median"-2 " Mean" `
`rArr 6lambda =3 xx 5 lambda -2" Mean" rArr "Mean"=(9)/(2)lambda`
`therefore "Mean" : "Median"=(9lambda)/(2) : 5lambda =9:10`
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