If the men of a distribution is 8.73 and its median is 11, then the mode of the distribution is ___________ (using empirical relation). 

Correct option is A

Given:

Mean of the data = 8.73
Median of the data = 11
Concept Used:
The empirical relationship between mean, median, and mode for a moderately skewed distribution is given by:
​$$\text{Mode} = 3 \times \text{Median} - 2 \times \text{Mean}$$​​
Solution:
Using the formula, we get

​$$\text{Mode} = 3 \times \text{Median} - 2 \times \text{Mean}\\\text{Mode} = 3 \times \text{11} - 2 \times \text{8.73}\\\text{Mode} = 33 - 17.46\\ \text{Mode} = 15.54$$​​

Thus, option (a) is right.