Question

The median of a frequency distribution is 40 and the mean is 38.2. Then its mode is:

• A. 43
• B. 43.6
• C. 42
• D. none of these

Hint:

Use the formula \( \text{Mode} = 3 \times \text{Median} - 2 \times \text{Mean} \) to find the mode when the mean and median are given.

Answer 1

The Correct Option is B

The relationship between the mean, median, and mode is given by the empirical formula: \[ \text{Mode} = 3 \times \text{Median} - 2 \times \text{Mean}. \] Substitute the given values: \[ \text{Mode} = 3 \times 40 - 2 \times 38.2 = 120 - 76.4 = 43.6. \] Thus, the correct answer is \( \boxed{43.6} \).