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STATISTICS / MULTIPLICATIVE CENTER

Geometric Mean Calculator

Calculate the geometric mean of six positive factors using a stable logarithmic method and compare it with their arithmetic mean.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Six-value data set

Preparing the calculator...

Use boundary

Calculation path

Natural logs are averaged and exponentiated, avoiding a potentially huge intermediate product.

Calculation path

Geometric mean = exp((ln x1 + ... + ln xn) / n), for positive values.

What you provide

What you provide

  • Value 1: The 1st equally weighted value in the data set.
  • Value 2: The 2nd equally weighted value in the data set.
  • Value 3: The 3rd equally weighted value in the data set.
  • Value 4: The 4th equally weighted value in the data set.
  • Value 5: The 5th equally weighted value in the data set.
  • Value 6: The 6th equally weighted value in the data set.

What you receive

What you receive

  • Geometric mean
  • Arithmetic mean comparison
  • Log-product and included count

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

All values must be strictly positive; raw percentage changes should normally be converted to growth factors before averaging.

Results are educational math aids. Check notation, units, rounding, assumptions, and required precision before using an answer in graded, engineering, financial, or safety-critical work.

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