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  4. If in a moderately asymmetrical distribution the mode and the mean of the data are 6 λ and 9 λ, respectively, then the median is

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Q. If in a moderately asymmetrical distribution the mode and the mean of the data are $6 \lambda$ and $9 \lambda$, respectively, then the median is

Statistics

Solution:

For a moderately skewed distribution,
Mode $=3$ median $-2$ mean
$\Rightarrow 6 \lambda=3$ median $-18 \lambda$
$\Rightarrow $ median $=8 \lambda$