Question

If in a moderately skewed distribution the values of mode and mean are $6$ $\lambda$ and $9$ $\lambda$ respectively, then value of median is ...

• A. $8$ $\lambda$
• B. $6$ $\lambda$
• C. $7$ $\lambda$
• D. $5$ $\lambda$

Answer 1

The correct option is A $8$ $\lambda$

The relation between mean, median and

mode is given by

Mode = 3 Median - 2 Mean.

Mode = 6 $\lambda$

Mean = 9 $\lambda$

3 Median = Mode + 2 Mean

$=6\lambda +2\times 9\lambda$

$=6\lambda +18\lambda$

$=24\lambda$

$\therefore$ Median $=8\lambda$