Question

The harmonic mean of 3, 7, 8, 10, 14 is

• A. $\frac{3 + 7 + 8 + 10 + 14}{5}$
• B. $\frac{1}{3} + \frac{1}{7} + \frac{1}{8} + \frac{1}{10} + \frac{1}{14}$
• C. $\frac{\frac{1}{3} + \frac{1}{7} + \frac{1}{8} + \frac{1}{10} + \frac{1}{14}}{4}$
• D. $\frac{5}{\frac{1}{3} + \frac{1}{7} + \frac{1}{8} + \frac{1}{10} + \frac{1}{14}}$

Answer 1

Answer: (D)

$\frac{5}{\frac{1}{3} + \frac{1}{7} + \frac{1}{8} + \frac{1}{10} + \frac{1}{14}}$

Answer 2

$\text{H.M}. = \frac{n}{\frac{1}{x_{1}} + \frac{1}{x_{2}} + ..... + \frac{1}{x_{n}}} = \frac{5}{\frac{1}{3} + \frac{1}{7} + \frac{1}{8} + \frac{1}{10} + \frac{1}{14}}$.