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Q.
If the ratio of mean and median of a certain data is 5 : 7 , then find the ratio of its mode and mean.
Statistics
Solution:
Given that, $\frac{\text { Mean }}{\text { Median }}=\frac{5}{7}$
We know that, Mode $=3$ Median -2 Mean.
$\text { Mode }=\text { Mean }\left(\frac{3 \text { Median }}{\text { Mean }}-2\right) $
$\frac{\text { Mode }}{\text { Mean }}=\left(3 \cdot \frac{7}{5}-2\right)=\frac{21-10}{5}=\frac{11}{5}$