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Skewness Calculator

Measure how asymmetric a data set is from its values.

Inputs

Results

Skewness (population)0.65625
ShapeRight-skewed (long right tail)text

Chart

Not what you need? Search by intent

Describe what you want to find — “skewness of data” — and jump to the right calculator.

How to use the skewness calculator

Measure how asymmetric a data set is from its values. Enter data values in the field above; the skewness (population), shape are computed instantly and plotted on the chart so you can see how the answer changes.

Common searches this calculator answers include “skewness of data”, “is data skewed”, “asymmetry of distribution”, “calculate skewness”, “find skewness”.

Formula

Skewness (population) = sum(d.map(function(v){return (v-mean(d))^3})) / len(d) / sdp(d)^3
Shape (text) = [Skewness (population)]>0.5?"Right-skewed (long right tail)":([Skewness (population)]<-0.5?"Left-skewed (long left tail)":"Roughly symmetric")

Variables

  • d — Data values

Worked example

With data values = 2,4,4,4,5,5,7,9, the calculator gives skewness (population) ≈ 0.65625; shape ≈ Right-skewed (long right tail) text.

Frequently asked questions

What is the skewness calculator used for?

Measure how asymmetric a data set is from its values. It helps with questions such as “skewness of data”, “is data skewed”, “asymmetry of distribution”.

What is the formula for the skewness calculation?

Skewness (population) = sum(d.map(function(v){return (v-mean(d))^3})) / len(d) / sdp(d)^3. Shape (text) = [Skewness (population)]>0.5?"Right-skewed (long right tail)":([Skewness (population)]<-0.5?"Left-skewed (long left tail)":"Roughly symmetric"). Here d is data values.

What inputs do I need for the skewness calculator?

You need data values. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use the skewness calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the skewness result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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