Question

In a moderately asymmetrical distribution the distance between mean & median is 'k' times the distance between mean & mode, then 'k' equals

• A. $3$
• B. $2$
• C. $\frac{2}{3}$
• D. None of these

Answer 1

The correct option is D None of these

For asymmetrical distribution, the relationship between mean, median & mode is given by
Mean$-$Mode$=$3(Mean$-$Median)
$\Rightarrow$ Distance between mean & mode$=$3(distance between mean & median)
$\therefore$ Distance between mean & median$=\frac{1}{3}$distance mean & mode
$\therefore$ $k=\frac{1}{3}$.