Question

If the mode and median of a frequency distribution are 5 and 10 respectively, then the mean is

• A. 7.5
• B. 10.5
• C. 12.5
• D. 12

Answer 1

The Correct Option is C

In a frequency distribution, the relationship between mode, median, and mean can be given by the empirical formula: \[ \text{Mean} = \frac{3 \times \text{Median} - \text{Mode}}{2} \] Given: - Mode = 5 - Median = 10 Substituting the values into the formula: \[ \text{Mean} = \frac{3 \times 10 - 5}{2} = \frac{30 - 5}{2} = \frac{25}{2} = 12.5 \]

The correct option is (C): \(12.5\)