Question:
The mean and median of a frequency distribution are 26.1 and 25.8 respectively. The value of mode for the distribution will be :
The mean and median of a frequency distribution are 26.1 and 25.8 respectively. The value of mode for the distribution will be :
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To calculate mode when mean and median are given, use the formula: Mode = \(3 \times \text{Median} - 2 \times \text{Mean}\).
Updated On: Oct 10, 2025
- 24.2
- 25.1
- 25.2
- 26.4
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The Correct Option is B
Solution and Explanation
The formula for mode is:
\[
\text{Mode} = 3 \times \text{Median} - 2 \times \text{Mean}
\]
Substituting the given values:
\[
\text{Mode} = 3 \times 25.8 - 2 \times 26.1
\]
\[
\text{Mode} = 77.4 - 52.2 = 25.2
\]
Thus, the value of mode is 25.2.
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