📚 Statistics calculators

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The statistics calculators cluster covers measurement and survey math: coefficient of variation, sample proportion, margin of error, survey response rate, relative standard error, hit rate, sensitivity (TPR), specificity (TNR), false positive rate, and data completeness—each on a single-intent URL.

Compute statistics and measurement KPIs: CV, sample proportion, margin of error, survey response rate, RSE, hit rate, sensitivity, specificity, FPR, and data completeness. For classic percent error and difference, use the linked Change tools.

Key facts

Primary audience Analysts, researchers, QA engineers, and data quality teams
Core formulas Relative dispersion (CV/RSE), survey MoE, classification rates
Category Statistics / survey methods / classification metrics
Related hubs Change (percent error/difference); Professional (pass rate, tolerance)

Definitions

CV

Coefficient of variation = standard deviation ÷ mean × 100.

MoE

Margin of error for a proportion ≈ z × √(p(1−p)/n), reported in percentage points.

Sensitivity

True positive rate = TP ÷ (TP + FN) × 100.

Formulas

  • CV %: (SD ÷ mean) × 100
  • MoE (pp): z × √(p(1−p)/n) × 100
  • Sensitivity %: TP ÷ (TP + FN) × 100
  • Specificity %: TN ÷ (TN + FP) × 100

Comparison table

Topic Guidance
CV vs RSE CV uses SD÷mean for a dataset; RSE uses SE÷estimate for a published estimate.
Sensitivity vs specificity Sensitivity catches positives; specificity correctly clears negatives.
FPR vs specificity FPR = 1 − specificity when computed on the same TN/FP counts.

Glossary references

Reinforce entities by pairing percent language with conversion pages when learners mix fractions, decimals, and ratios.

❓ Frequently Asked Questions

Where is percent error?

On the Change hub (percentage error)—linked from this page. This Statistics hub focuses on CV, MoE, and classification rates.

Is MoE a confidence level?

No. Confidence level chooses z; MoE is the resulting half-width in percentage points.

Do these replace a stats package?

No. They compute transparent formulas for education and quick checks—use full software for complex designs.