Standard Deviation

\sigma = \sqrt{\frac{1}{n}\sum_{i=1}^{n}(x_i - \mu)^2}

Description

Measures the amount of variation in a dataset.

Variables

Symbol	Meaning
`σ`	Standard deviation
`n`	Number of values
`xᵢ`	Individual values
`μ`	Mean

Example

Problem

Find std dev of 2,4,6,8,10

Solution

σ = √8 ≈ 2.83

Real-World Applications

Data analysis
Quality control
Research