Coefficient Variation Calculator
Last updated: June 2026 · Free · No sign-up required
Enter values above and click Calculate to see your result instantly.
How the Coefficient Variation Calculator works
The engine behind this calculator evaluates CV = (s ÷ |x̄|) × 100%, s = √(Σ(x−x̄)²÷(n−1)) for samples directly in your browser — nothing is sent to a server, and results update as you type.
For context, the sections beneath the calculator include typical values, a worked example you can recompute by hand, and an FAQ covering the practical details of coefficient of variation calculator.
Quick reference
| Data behaviour | Typical CV |
|---|---|
| Precision lab assay | < 5% |
| Manufacturing tolerance | 5–15% |
| Biological measurements | 15–35% |
| Financial returns | often > 50% |
functions Shows the working, not just the answer
For students and teachers, the final number is only half the value. Every math tool here exposes the formula it applied, the intermediate steps, and the rounding rule, so you can follow along, check your homework, or use the answer in a proof or report with confidence.
calculate Accurate to the spec
Calculations use 64-bit floating point with sensible rounding for the domain (currency to 2 decimals, percentages to 4 decimals, algebra to 6 significant figures). Where exact rational arithmetic matters — fractions, factorials, simplification — we use a dedicated BigNumber path so 1/3 + 1/6 returns ½, not 0.49999.
school Free for classroom use
Educators are welcome to link to any math calculator on CalcaTools from a class site, Google Classroom, or worksheet. The pages are mobile-friendly, free, ad-supported (so we can keep them free) and have no sign-up wall — students just click and use them in class or at home.
tips_and_updates Pair with the spoke articles
Below the calculator we link a small set of plain-English explainer pages — "What is a percentage?", "Why does PEMDAS matter?", and so on. They cover the underlying concept in 4–6 short paragraphs. Read those before the calculator if the topic is new, or after if you want the extra context.
Interpretation guide
| CV | Reading |
|---|---|
| < 10% | Very consistent data |
| 10–20% | Moderate relative spread |
| 20–30% | High variability |
| > 30% | Very dispersed — mean alone is misleading |
Formula & methodology
Formula: CV = (s ÷ |x̄|) × 100%, s = √(Σ(x−x̄)²÷(n−1)) for samples
- Paste your values, comma- or space-separated.
- The tool computes the mean, then the sample SD (÷ n−1) and population SD (÷ n).
- Each SD is divided by the absolute mean and ×100 for the CV.
Example: 12, 15, 9, 20 → mean 14, sample SD 4.69, sample CV 33.50% (population CV 29.01%).
Frequently asked questions
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