The mode and median of a data are 46.2

Empirical relation:
$ \text{Mode} = 3 \times \text{Median} - 2 \times \text{Mean} $

Step 1: Substitute the given values

$ 46.2 = 3(40) - 2 \times \text{Mean} $

Step 2: Simplify

$ 46.2 = 120 - 2\text{Mean} $

$ 2\text{Mean} = 120 - 46.2 $

$ 2\text{Mean} = 73.8 $

$ \text{Mean} = \frac{73.8}{2} = 36.9 $