Games
Problems
Go Pro!

Professor Puzzler's Statistics Calculator

Provide a data set below, and find out all you need to know!
Your data points (comma separated)
Harmonic mean Detailed analysisAverageMedianModeRangeOutliersStandard deviationGeometric meanQuartilesIQRVariance

Harmonic Mean

Please enter data above to calculate the harmonic mean.

Explanation

The harmonic mean is obtained by taking the reciprocals of each of the data points, and averaging all those points (adding them together and dividing by the number of points). Finally, since we began by taking reciprocals of the data points, we finish by taking the reciprocal of the result.

Harmonic means can be used as an alternate way of dealing with outliers, provided all the outliers are on the high side; if you have low outliers, using the harmonic mean will badly skew your results.

Under what circumstances does a data set not have a harmonic mean? If one or more of the data points is zero. This would result in a division by zero, which is not defined.

For more information about harmonic means, visit our reference unit on Pythagorean Means.

Understanding Coronavirus Spread

A Question and Answer session with Professor Puzzler about the math behind infection spread.

Blogs on This Site

Reviews and book lists - books we love!
The site administrator fields questions from visitors.
Like us on Facebook to get updates about new resources
Home
Pro Membership
About
Privacy