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Standard Deviation Calculator
Perform statistical calculations in your browser.
How to Use This Tool
- Enter count, sum, and sum of squares of your data.
- Get mean, variance, standard deviation, and coefficient of variation.
The Formula
SD = sqrt(Σ(x²) - (Σx)²/n / (n-1)). Coefficient of Variation = SD / Mean.
Why It Matters
A statistics student has 5 test scores: 85, 90, 78, 92, 88. The mean is 86.6 and standard deviation is 5.1, meaning scores typically vary about 5 points from the average. A low CV (5.9%) shows consistent performance — useful for showing improvement trends to parents or scholarship committees.
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