Statistics And Probability Question 81

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

Options:

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}} $

Show Answer

Answer:

Correct Answer: D

Solution:

$ H\text{.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}} $ .