Question

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 1

Answer: (B)

4 : 3

Mode = 3 Median - 2 Mean

$Z=3M-2X$

Given,

$\frac{X}{M}=\frac{9}{8}$

$X=\frac{9M}{8}$

Therefore,

$Z=3M-2\times \frac{9M}{8}=3M-\frac{9M}{4}$

$Z=\frac{3M}{4}$

Therefore,

$\frac{M}{Z}=\frac{4}{3}$

$M:Z=4:3$