Standard Deviation

intermediatestatisticsdescriptive

Measures spread of data from the mean

The Formula

σ = √[Σ(x-μ)² / n]

Variables & Symbols

σ

Standard deviation

x

Individual values

μ

Mean

n

Sample size

When to Use This Formula

  • Measuring variability
  • Quality control
  • Risk analysis

Worked Examples

Example 1

Problem:

Example

Solution: Result

Step-by-Step:

1

Calculate

Common Mistakes to Avoid

  • Forgetting to square
  • Not taking square root

Real-World Applications

1

Finance - risk assessment

2

Quality control

3

Research

Practice Problems

Problem 1: Practice

Show Answer

Answer: Answer

Related Formulas

variance formula

View Formula →

mean formula

View Formula →

Tags:

statisticsstandard deviationspread

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