Assertion (A): If mean median of an asymmetrical distribution are 58 61 respectively, then Mode = 67 Reason (R ) :For an asymmetrical distribution Mode = 3 Median - 2 Mean

Question

Assertion (A): If mean median of an asymmetrical distribution are 58 61 respectively, then Mode = 67 Reason (R ) :For an asymmetrical 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

Tardigrade Admin · Accepted Answer

∵ Mode = 3 Median - 2 Mean =3 × 61-2 × 58 =67

Q. Assertion (A) : If mean & median of an asymmetrical distribution are $58$ & $61$ respectively, then Mode = $67$
Reason (R ) :For an asymmetrical distribution Mode = $3$ Median - $2$ Mean

Both (A) & (R) are individually true & (R) is correct explanation of (A).

Both (A) & (R ) are individually true but (R) is not the correct (proper) explanation of (A)

(A) is true (R) is false

(A) is false (R) is true

$∵$ Mode = 3 Median - 2 Mean
$= 3 \times 61 - 2 \times 58 = 67$

Q. Assertion (A) : If mean & median of an asymmetrical distribution are 58 & 61 respectively, then Mode = 67 Reason (R ) :For an asymmetrical distribution Mode = 3 Median - 2 Mean