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math.coefficient-variation Calculator
Calculates the coefficient of variation (CV = σ/μ × 100%) as a dimensionless relative measure of dispersion, enabling comparison across different units or scales. CV is used in quality control and biology where comparing variability between measurements with different means is necessary.
Inputs
Mean
Arithmetic average. Sensitive to outliers — if your data has extreme values, the median may be more representative.
Std Dev
Average spread around the mean. In a normal distribution: 68% within ±1 SD, 95% within ±2 SD, 99.7% within ±3 SD.
N Samples
Number of data points collected. Larger samples give narrower confidence intervals. Rule of thumb: 30+ for most statistical tests.
Results
coefficient of variation (CV)
The value at the specified point or condition.
standard error of mean
The difference between the computed result and the exact or true value — a measure of approximation accuracy.
95% CI half-width
The computed width.
CV interpretation
Qualitative summary of what the computed numbers mean in practical terms.
mean
Arithmetic average — sum divided by count. Simple and familiar, but pulled by outliers. If your data contains extreme values, the median may be more representative.
std dev
Standard deviation -- the average spread of values around the mean. In a normal distribution: 68% within 1 SD, 95% within 2 SD.