Question

In a frequency distribution median is $\frac{11}{10}$ times the mean, and mode is $5.2$. Find the median.

• A. $4.4$
• B. $4.3$
• C. $4.1$
• D. $4.0$

Answer 1

The correct option is A $4.4$

Let $x$ be the mean in frequency distribution

$⟹median=\frac{11}{10}\times x$ and mode$=5.2$

Relation between these three is given by,

Mean-mode $=3($ Mean-median$)$

$⟹x-5.2=3(x-\frac{11}{10}x)$

$⟹x-5.2=\frac{-3x}{10}$

$⟹x=4$

Thus, Median $=\frac{11}{10}\times 4=4.4$

Hence, option A is correct.