For a moderately asymmetrical distribution, if the values of mean and median are 30 and 28, find the value of mode.

Calculation of Mode

Given:

• Mean ($\bar{X}$) = 30
• Median ($M$) = 28

For a moderately asymmetrical distribution, the empirical relationship between mean, median, and mode is given by the formula: $$\text{Mode}=3\times \text{Median}-2\times \text{Mean}$$

Substituting the given values into the formula: $$\text{Mode}=3(28)-2(30)$$ $$\text{Mode}=84-60$$ $$\text{Mode}=24$$

The value of the mode is 24.