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Mean Calculator (Arithmetic, Geometric, Harmonic)

Just enter your numbers and instantly get all three means at once: arithmetic, geometric, and harmonic.

Input

Positive numbers only. Separate multiple values with line breaks, commas, or spaces.

Result

Arithmetic mean

24

Geometric mean

19.583

Harmonic mean

16.0428

Data count

5 values

Comparison of the three means

Type of meanValueCommon uses
Arithmetic24Everyday average that splits the total evenly
Geometric19.583Average for growth rates and multiplicative factors
Harmonic16.0428Average for speeds, unit prices, and other ratios

Except when all values are equal, the relationship arithmetic ≧ geometric ≧ harmonic mean always holds.

How it works

  • The arithmetic mean is the most common average: add up all the values and divide by how many there are. It suits things like test scores or amounts of money, where you want to split the total evenly.
  • The geometric mean multiplies all the values together and takes the nth root. Use it for growth rates such as year-over-year sales or interest rates, where changes compound through multiplication.
  • The harmonic mean is the reciprocal of the average of the reciprocals, calculated as n ÷ (sum of 1/x). It is ideal for averaging ratios such as round-trip speeds or unit prices across several places.
  • Except when all values are equal, the order arithmetic ≧ geometric ≧ harmonic mean always holds. The larger the gap between the three values, the more spread out your data is.
  • The geometric and harmonic means are only defined for positive numbers, so data containing zeros or negatives is not supported. Remove those values before entering.
  • Numbers can be separated by line breaks, commas, or spaces, and the result is recalculated automatically as you type.