π Variance Calculator
Quantify variability with ease. Paste your dataset to obtain sample variance (Bessel corrected), population variance, standard deviation, and supporting sums of squaresβideal for classroom checks or quick exploratory analysis.
Dataset Input
Comma, space, newline, or tab separated values
Invalid tokens are ignored. Paste directly from spreadsheets or CSV files.
Sample Variance (sΒ²)
β
Population Variance (ΟΒ²)
β
Sample Std. Dev. (s)
β
Population Std. Dev. (Ο)
β
Sum of Squares (βxΒ²)
β
Mean
β
Count
β
Variance Breakdown
No values analysed yet.
Insights
- No values analysed yet.
How to Use
- Paste or type your dataset into the input box. Mixed separators are fine.
- Click Calculate Variance to view sample variance (dividing by nβ1) and population variance (dividing by n).
- Review the breakdown to understand the mean, sum of squares, and standard deviations.
- Use the insights section to detect insufficient sample size or potential data-entry issues.
- Clean or reset data when switching to new datasets.
Formula References
- Sample variance: \( s^2 = \frac{1}{n-1} \sum (x_i - \bar{x})^2 \)
- Population variance: \( \sigma^2 = \frac{1}{n} \sum (x_i - \mu)^2 \)
- References: Devore (2015), Probability and Statistics for Engineering and the Sciences.