Q&A for How to Calculate the Harmonic Mean

Return to Full Article

Coming soon

Add New Question

Question

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

Thanks! We're glad this was helpful.
Thank you for your feedback.
If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow
Yes No

Not Helpful 8 Helpful 18
Question

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)

Thanks! We're glad this was helpful.
Thank you for your feedback.
If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow
Yes No

Not Helpful 10 Helpful 17
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.

Thanks! We're glad this was helpful.
Thank you for your feedback.
If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow
Yes No

Not Helpful 5 Helpful 11
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

Thanks! We're glad this was helpful.
Thank you for your feedback.
If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow
Yes No

Not Helpful 8 Helpful 5
Question

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.

Thanks! We're glad this was helpful.
Thank you for your feedback.
If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow
Yes No

Not Helpful 3 Helpful 5
Question

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.

Thanks! We're glad this was helpful.
Thank you for your feedback.
If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow
Yes No

Not Helpful 12 Helpful 2
Question

How do I find the harmonic mean of two numbers?

Community Answer

Use the above formula, with n=2. For example, if the two numbers are 5 and 8, the harmonic mean is 2 / (1/5 + 1/8) = 2 / (8/40 + 5/40) = 2 / (13/40) = (2)(40/13) = 80/13 = 6.15.

Thanks! We're glad this was helpful.
Thank you for your feedback.
If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow
Yes No

Not Helpful 0 Helpful 0
Question

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.

Thanks! We're glad this was helpful.
Thank you for your feedback.
If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow
Yes No

Not Helpful 4 Helpful 4
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.

Thanks! We're glad this was helpful.
Thank you for your feedback.
If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow
Yes No

Not Helpful 3 Helpful 3
Question

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

Thanks! We're glad this was helpful.
Thank you for your feedback.
If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission. Support wikiHow
Yes No

Not Helpful 0 Helpful 0