Question

If the mode of a distribution is 12 and the a mean is 3, then the median is (a) 8 (b) 36 (c) 4 (d) 6​

Answer 1

Answer:

The correct answer is option (d) .

Step-by-step explanation:

Using empirical formula :

$3\times \text{Median}=\text{Mode} + 2\times \text{Mean}$

$\Rightarrow 3\times \text{Median} =12+2\times 3\\\Rightarrow 3\times \text{Median} =12+6=18\\\Rightarrow \text{Median} =\frac{18}{3}=6$

Hence the required median of the distribution is 6