Standard Deviation Calculator
Calculate the standard deviation and variance for a dataset. Choose between population and sample standard deviation.
How to Use the Standard Deviation Calculator
- Enter your data set or statistical values in the input fields.
- Click Calculate to process the data.
- Review the computed result with detailed breakdown.
- Modify inputs or add more data points for further analysis.
Référence rapide
| De | Vers |
|---|---|
| Mean [2,4,6] | 4 |
| Median [1,3,5,7] | 4 |
| Mode [2,2,3,5] | 2 |
| σ [2,4,4,4,5,5,7,9] | 2 |
| z-score (x=85, μ=70, σ=10) | 1.5 |
| P(A)+P(B)−P(A∩B) | P(A∪B) |
Cas d'utilisation
- •Analyzing data sets for research papers or school projects.
- •Checking statistical calculations before including them in reports.
- •Understanding data distributions and variability in experiments.
- •Making data-driven decisions in business or academic contexts.
Formule
Population: σ = √(Σ(xi−μ)²/N). Sample: s = √(Σ(xi−x̄)²/(N−1)). Variance is the square of standard deviation.
Questions fréquemment posées
What is the difference between population and sample standard deviation?
Population standard deviation divides by N (the total count). Sample standard deviation divides by N−1 to correct for bias when estimating from a sample.
What does standard deviation tell you?
Standard deviation measures how spread out values are from the mean. A low value means data points are close to the mean; a high value means they are spread out.
What is variance?
Variance is the square of the standard deviation. It measures the average squared distance of each data point from the mean.
When should I use sample vs. population?
Use population when you have data for every member of the group. Use sample when your data is a subset of a larger population.