Question:
What is the Harmonic Mean of 3, 4, 5, and 6?
What is the Harmonic Mean of 3, 4, 5, and 6?
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To calculate the Harmonic Mean, find the reciprocal of each number, sum them, and then take the reciprocal of the result.
Updated On: Apr 28, 2025
- 5.21
- (4)21
- (4)52
- 5.32
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The Correct Option is B
Solution and Explanation
The Harmonic Mean \( H \) of a set of numbers \( x_1, x_2, \dots, x_n \) is given by: \[ H = \frac{n}{\frac{1}{x_1} + \frac{1}{x_2} + \dots + \frac{1}{x_n}}. \] For the numbers 3, 4, 5, and 6: \[ H = \frac{4}{\frac{1}{3} + \frac{1}{4} + \frac{1}{5} + \frac{1}{6}} = \frac{4}{0.3333 + 0.25 + 0.2 + 0.1667} = \frac{4}{0.95} \approx (4)2(1) \]
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