Question

What is the Harmonic Mean of 3, 4, 5, and 6?

• A. 5.21
• B. (4)21
• C. (4)52
• D. 5.32

Hint:

To calculate the Harmonic Mean, find the reciprocal of each number, sum them, and then take the reciprocal of the result.

Answer 1

The Correct Option is B

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: \[ H = \frac{4}{\frac{1}{3} + \frac{1}{4} + \frac{1}{5} + \frac{1}{6}} = \frac{4}{0.3333 + 0.25 + 0.2 + 0.1667} = \frac{4}{0.95} \approx 4.21. \]