Q&A for How to Calculate the Harmonic Mean

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What are the harmonic means of 5, 6 and 7?

Community Answer

3/(1/5+1/6+1/7) = 3/(42/210 + 35/210 + 30/210 ) = 3/( 107/210) = 3 x 210/107= 630/107 = 5.89

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What is the harmonic mean of x1,x2,x3.xn?

Community Answer

This is just asking for the formula: n/(1/x1 + 1/x2 + 1/x3 +...+1/xn)

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Question

Can you tell me the harmonic mean of 0 2 4 6?

Donagan

Top Answerer

There's no harmonic mean when zero is one of the values in the set. That's because the formula would have 1/0 as one of the terms in the denominator, and 1/0 is infinity and not usable.

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Question

Obtain the harmonic mean of the following data 3, 2, 6, 4,

Community Answer

Use the formula. 4/(1/3 + 1/2 + 1/6 + 1/4) = 4/(4/12 + 6/12 + 2/12 + 3/12) = 4/(15/12) = 4 x 12/15 = 48/15 = 3.2

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If we have the values of 1/x, then how will find the values of x?

Donagan

Top Answerer

The value of x is the reciprocal of the value of 1/x. For example, if 1/x equals 3, x equals 1/3.

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What is the harmonic mean of the numbers 3,4,5,6?

Community Answer

Use the formula. 4/(1/3 + 1/4 + 1/5 + 1/6) = 4/(20/60 + 15/60 + 12/60 + 10/60) = 4/(57/50) = 4 x 50/57 = 200/57 = 3.5.

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Question

How do I find the harmonic mean of two numbers?

Donagan

Top Answerer

Use the above formula, with n=2.

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The sum of 20 reciprocals (1 over the number) is found to equal 5. What is the harmonic mean of the original (non-reciprocated) scores?

Community Answer

The average of the reciprocals is 5/20 = 1/4. Thus the harmonic mean of the original numbers is the reciprocal of that or 4.

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Question

What is harmonic mean of 2, 3, 5?

Donagan

Top Answerer

It's 3 / (1/2 + 1/3 + 1/5) = 3 / (15/30 + 10/30 + 6/30) = 3 / (31/30) = (3)(30/31) = 90/31 = 2 30/31. In other words, the harmonic mean of 2, 3 and 5 is slightly less than 3.

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What is the harmonic mean 4 and 9?

Community Answer

The harmonic mean is 2 / (1/4 + 1/9). 1/4 + 1/9 = 9/36 + 4/36 = 13/36. 2 / (13/36) = (2)(36/13) = 72/13 = 5.54

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