Question

If mean and median of a distribution are 24.5 and 26 respectively, then its mode will be:

• A. 25
• B. 27
• C. 29
• D. 30

Hint:

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

Answer 1

The Correct Option is B

To find the mode, we can use the empirical relationship between mean, median, and mode: \[ \text{Mode} = 3 \times \text{Median} - 2 \times \text{Mean} \] Substituting the given values: \[ \text{Mode} = 3 \times 26 - 2 \times 24.5 = 78 - 49 = 29 \]
Step 1: Conclusion.
Thus, the mode is 29.