What is the Median of data if its Mode is 15 and the Mean is 30 ?

Correct Option
Option D: 25

Step-by-Step Solution
Understand the Formula:

The empirical relationship between the three measures of central tendency is: Mode = 3 * Median - 2 * Mean.

Substitute the Given Values:

Mode = 15.

Mean = 30.

Substituting into the formula: 15 = 3 * Median - 2 * 30.

Solve for the Median:

15 = 3 * Median - 60.

Add 60 to both sides: 15 + 60 = 3 * Median.

75 = 3 * Median.

Median = 75 / 3 = 25.