Question

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

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

Answer 1

The correct option is D Assertion is false Reason is true.

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