↗️ Skewness Calculator

Diagnose asymmetry in your distribution. Paste values to compute Fisher-Pearson sample skewness, underlying mean and standard deviation, and plain-language interpretation of skew direction and magnitude.

Dataset Input

Comma, space, newline, or tab separated values

Invalid tokens are ignored. Paste directly from spreadsheets or CSV files.

Fisher-Pearson Skewness (g₁)

—

Mean

—

Sample Std. Dev.

—

Count

—

Third Central Moment

—

Second Central Moment

—

Interpretation

No values analysed yet.

Insights

  • No values analysed yet.

How to Use

  1. Paste or type your dataset into the values field.
  2. Click Calculate Skewness to obtain Fisher-Pearson sample skewness, mean, standard deviation, and centralized moments.
  3. Review the interpretation to determine whether the distribution is left-skewed, right-skewed, or symmetric.
  4. Use insights to identify potential outliers or inadequate sample size (requires ≥ 3 values).
  5. Clean or reset the dataset when analysing additional samples.

Formula Reference

Sample skewness (Fisher-Pearson): \( g_1 = \frac{n}{(n-1)(n-2)} \sum \left( \frac{x_i - \bar{x}}{s} \right)^3 \) where \( s \) is the sample standard deviation. Reference: Joanes & Gill (1998), "Comparing Measures of Sample Skewness and Kurtosis".

Explore Related Tools