How To Calculate Sample Variance By Hand

Expert Guide to Calculating Sample Variance by Hand

Introduction & Importance

Sample variance is a crucial statistical measure that quantifies the amount of variation or dispersion of a set of values. It’s essential for understanding the spread of data and making informed decisions…

How to Use This Calculator

1. Enter your data points, separated by commas.
2. Enter the number of data points (n).
3. Click ‘Calculate’.

Formula & Methodology

The formula for sample variance (s²) is:

s² = [(∑(xi - x̄)²) / (n - 1)]

Where:

• xi is each data point,
• x̄ is the sample mean,
• n is the number of data points.

Real-World Examples

Data & Statistics

Data Set	Sample Variance
Set 1	…
Set 2	…

Expert Tips

• Always use the correct formula for your data set (population or sample).
• Understand the difference between variance and standard deviation.

Interactive FAQ

What is the difference between population variance and sample variance?

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For more information, see the UK Office for National Statistics and the US Census Bureau.