Question

Assertion (A) : If in a moderately skewed distribution the value of mode and mean are $4\lambda$ and $7\lambda$ respectively, then value of median is $5\lambda$
Reason (R ) : For a moderately skewed distribution Mode = 3 Median - 2 Mean

• A. Both (A) & (R) are individually true & (R) is correct explanation of (A).
• B. Both (A) & (R ) are individually true but (R) is not the correct (proper) explanation of (A)
• C. (A) is true (R) is false
• D. (A) is false (R) is true

Answer 1

Answer: (D)

$\because$ Mode = 3 Median - 2 Mean
$\Rightarrow 4\,\lambda =3$ Median $-2(7 \lambda)$
$\Rightarrow $ Median $=\frac{4 \lambda +14\lambda}{3}=6\lambda$
$\Rightarrow $ Assertion (A) is false but Reason (R) is true