Skewness Formula

The Formula

\text{skewness} = \frac{n}{(n-1)(n-2)} \sum\left(\frac{x_i - \bar{x}}{s}\right)^3

When to use: A right-skewed distribution has a long tail to the right (a few very large values); left-skewed has a long tail to the left.

Quick Example

Income distribution is right-skewed: most earn moderate incomes, but a few earn millions, pulling the mean up.

What This Formula Means

A measure of the asymmetry of a distribution โ€” how much it leans to one side of the mean.

A right-skewed distribution has a long tail to the right (a few very large values); left-skewed has a long tail to the left.

Why This Formula Matters

Skewness tells you whether the mean or median is a better measure of center.

Frequently Asked Questions

What is the Skewness formula?

A measure of the asymmetry of a distribution โ€” how much it leans to one side of the mean.

How do you use the Skewness formula?

A right-skewed distribution has a long tail to the right (a few very large values); left-skewed has a long tail to the left.

Why is the Skewness formula important in Statistics?

Skewness tells you whether the mean or median is a better measure of center.

What do students get wrong about Skewness?

Positive skewness means the tail extends to the right, not that most values are large.

What should I learn before the Skewness formula?

Before studying the Skewness formula, you should understand: distribution shape.