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

For a moderately asymmetrical distribution, the relationship between mean (μ), median (M), and mode (Mo) is given by the empirical formula:

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

Given:

• Mean (μ) = 30
• Median (M) = 28

Substitute the values into the formula:

$$\text{Mode}=3\times 28-2\times 30$$

$$\text{Mode}=84-60$$

$$\text{Mode}=24$$

Final Answer: The value of the mode is 24.