Question:
The arithmetic mean of some numbers is 18 and their median is 16. Then what is the mode?
The arithmetic mean of some numbers is 18 and their median is 16. Then what is the mode?
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When the mean and median are given, use the formula \( \text{Mode} = 3 \times \text{Median} - 2 \times \text{Mean} \) to find the mode.
Updated On: Apr 28, 2025
- 15
- 12
- 14
- 17
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The Correct Option is B
Solution and Explanation
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: \[ \text{Mode} = 3 \times 16 - 2 \times 18 = 48 - 36 = 1(2) \]
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