1.

If X , M , Z are denoting mean , median and mode of a data and X : M = 9 : 8 , then find the ratio M : Z .A. `8 : 9 `B. `4 : 3`C. `7 : 6`D. `5 : 4`

Answer» Correct Answer - b
Mode = `3 xx` Median - `2 xx ` Mean
Z = 3M - 2X
Given , `X : M = 9 : 8`
`implies (X)/(M) = (9)/(8)`
` X = (9M)/(8)`
`therefore Z = 3M - 2 xx (9M)/(8) = 3M - (9M)/(4)`
`Z = (3M)/(4) therefore (M)/(Z) = (4)/(3)`
`implies M : Z = 4 : 3`.


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