Statistics

Skewness Formula - Statistics

Learn the skewness formula with examples, step-by-step guide, and calculator tools. Measure the asymmetry of a probability distribution

The skewness formula is a fundamental concept in statistics. Measure the asymmetry of a probability distribution. This page provides a comprehensive guide with worked examples and practical applications.

The Formula

\[\text{Skew} = \frac{n}{(n-1)(n-2)} \sum_{i=1}^{n} \left(\frac{x_i - \bar{x}}{\sigma}\right)^3\]

Variables

Skew
Skewness coefficient
n
Number of values
xᵢ
Individual values
Mean
σ
Standard deviation

Step-by-Step Guide

  1. 1

    Step 1: Gather your data values

  2. 2

    Step 2: Apply the formula

  3. 3

    Step 3: Perform the calculations

  4. 4

    Step 4: Interpret the result

Examples

Example 1

Example 1: [1,2,3,4,10] → Positive skew indicates right tail

Example 2

Example 2: 1.86 (right skewed)

Frequently Asked Questions

What is the skewness formula?

Measure the asymmetry of a probability distribution

How do I calculate skewness formula?

Use the formula: \text{Skew} = \frac{n}{(n-1)(n-2)} \sum_{i=1}^{n} \left(\frac{x_i - \bar{x}}{\sigma}\right)^3. Follow the steps provided above.

What tools can help with skewness formula?

We provide online calculators: statistics-calculator

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