Question

The harmonic mean of 5,2,8,10is ?

Answer 1

formula is - n ÷ ( 1 /a1 + 1/ a2 + 1/a3 + 1 /a4 )

for number 5,2,8,10 harmonic mean is -
4 ÷ ( 1 / 5 + 1 / 2 + 1 / 8 + 1 / 10 )
= 1.525
harmonic mean = 1.525

Answer 2

Answer:

The harmonic mean of 5,2,8,10 is 4.324.

Step-by-step explanation:

Given digits are 5,2,8,10.

Here we want to find harmonic mean.

But now question is what is the formula of the harmonic mean

We know,

Harmonic mean of n numbers $= n \div ( \frac{1}{a_1} + \frac{1}{a_2} + \frac{1}{a_3} + \frac{1}{a_4} + ........... + \frac{1}{a_n} )$ Where n is total number of terms.

Here

$a_1 = 5 \\ a_2 = 2 \\ a_3 = 8 \\ a_4 = 10$ and $n = 4$

So required harmonic mean

$= 4 \div ( \frac{1}{5} + \frac{1}{2} + \frac{1}{8} + \frac{1}{10} ) \\ = 4 \div ( \frac{8 + 20 + 5 + 4}{40} ) \\ = 4 \div \frac{37}{40} \\ = 4 \div 0.925 \\ = 4.324$

Required harmonic mean is 4.324.

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