Question

The arithmetic mean of some numbers is 18 and their median is 16. Then what is the mode?

• A. 15
• B. 12
• C. 14
• D. 17

Hint:

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

Answer 1

The Correct Option is B

The relationship between the mean, median, and mode is given by: \[ \text{Mode} = 3 \times \text{Median} - 2 \times \text{Mean}. \] Substituting the given values: \[ \text{Mode} = 3 \times 16 - 2 \times 18 = 48 - 36 = 1(2) \]