MATH
Statistics calculators
Summarize a set of measurements with the sample statistics tool or compare explicit fixed-count arithmetic, weighted, geometric, harmonic and root-mean-square summaries. A summary helps describe the supplied data, rather than predict future observations.
Choose the right tool
Check whether you need sample or population measures and inspect unusual values before interpreting an average or spread.
45 tools
Existing summary tools
Explore the existing summary calculators.
- Arithmetic Mean of Three Values Calculator
average. Example: A: 2 units, B: 2 units, C: 2 units gives 2 units. Elementary arithmetic over the accepted finite domain. No statistical population inference, supplied-data validity claim or specialist recommendation.
- Equal-Weight Mean of Two Percentages Calculator
average percentage. Example: First percentage: 40 %, Second percentage: 60 % gives 50 %. Equal-weight average only; pooling unequal group sizes requires counts/weights and is not inferred. Elementary arithmetic over the accepted finite domain. No statistical population inference, supplied-data validity claim or specialist recommendation.
- Geometric Mean of Three Positive Values Calculator
geometric mean. Example: A: 2 units, B: 2 units, C: 2 units gives 2 units. Exactly three positive quantities on one scale. Elementary arithmetic over the accepted finite domain. No statistical population inference, supplied-data validity claim or specialist recommendation.
- Harmonic Mean of Three Positive Values Calculator
harmonic mean. Example: A: 2 units, B: 2 units, C: 2 units gives 2 units. Exactly three positive quantities; applicability to real rate problems depends on what is equally weighted. Elementary arithmetic over the accepted finite domain. No statistical population inference, supplied-data validity claim or specialist recommendation.
- Root Mean Square of Three Values Calculator
root mean square. Example: A: 2 units, B: 2 units, C: 2 units gives 2 units. Exactly three equally weighted observations in one unit. Elementary arithmetic over the accepted finite domain. No statistical population inference, supplied-data validity claim or specialist recommendation.
- Understand your numbers
Explore the average, median, and spread of five measurements.
- Weighted Mean of Two Values Calculator
weighted average. Example: A: 2 units, B: 2 units, Dimensionless weight a: 2 number, Dimensionless weight b: 2 number gives 2 units. Two observations with strictly positive dimensionless weights; not grade or investment-policy advice. Elementary arithmetic over the accepted finite domain. No statistical population inference, supplied-data validity claim or specialist recommendation.
Binary classification counts
Supplied binary counts only; no clinical interpretation.
- Binary Count Table Accuracy Calculator
Binary Count Table Accuracy Calculator — Supplied labeled binary classification counts only; no clinical diagnosis, prevalence model, confidence interval or decision threshold.
- Binary Count Table False Positive Rate Calculator
Binary Count Table False Positive Rate Calculator — Supplied labeled binary classification counts only; no clinical diagnosis, prevalence model, confidence interval or decision threshold.
- Binary Count Table True Negative Rate Calculator
Binary Count Table True Negative Rate Calculator — Supplied labeled binary classification counts only; no clinical diagnosis, prevalence model, confidence interval or decision threshold.
- Binary Count Table True Positive Rate Calculator
Binary Count Table True Positive Rate Calculator — Supplied labeled binary classification counts only; no clinical diagnosis, prevalence model, confidence interval or decision threshold.
- Binary Count Table Youden Index Calculator
Binary Count Table Youden Index Calculator — Descriptive index of supplied labeled classification counts; no clinical recommendation or threshold optimization.
Finite selections and string counts
Explicit fixed selections and alphabet counts; no password strength claims.
- Bounded Alphabet Fixed Six Slot Count Calculator
Bounded Alphabet Fixed Six Slot Count Calculator — Exactly six slots with repetition allowed; count only, no security strength, entropy or password recommendation.
- Supplied Count Ordered Triples Calculator
Supplied Count Ordered Triples Calculator — Exactly three ordered selected items; n below three yields zero, no repetition.
- Supplied Count Unordered Triples Calculator
Supplied Count Unordered Triples Calculator — Exactly three selected items; n=0,1,2 yields zero.
Descriptive summaries and supplied scales
Fixed-size whole-number observations and disclosed quartile, interval and standardization conventions.
- Five Positive Whole Values Population Cv Calculator
Five Positive Whole Values Population Cv Calculator — Exactly five positive whole-number observations on a ratio scale; no interpretation for signed or zero-mean data.
- Five Whole Values Exclusive First Quartile Calculator
Five Whole Values Exclusive First Quartile Calculator — Exactly five supplied whole-number observations, not arbitrary-length data or statistical inference.
- Five Whole Values Exclusive Iqr Calculator
Five Whole Values Exclusive Iqr Calculator — Exactly five supplied whole-number observations, not arbitrary-length data or statistical inference.
- Five Whole Values Exclusive Third Quartile Calculator
Five Whole Values Exclusive Third Quartile Calculator — Exactly five supplied whole-number observations, not arbitrary-length data or statistical inference.
- Five Whole Values Half Open Bin Count Calculator
Five Whole Values Half Open Bin Count Calculator — Exactly five observations and one explicitly half-open bin; not a full automatic histogram.
- Five Whole Values Mean Absolute Deviation Calculator
Five Whole Values Mean Absolute Deviation Calculator — Exactly five supplied whole-number observations, not arbitrary-length data or statistical inference.
- Five Whole Values Midrange Calculator
Five Whole Values Midrange Calculator — Exactly five supplied whole-number observations, not arbitrary-length data or statistical inference.
- Five Whole Values Population Variance Calculator
Five Whole Values Population Variance Calculator — Exactly five supplied whole-number observations, not arbitrary-length data or statistical inference.
- Five Whole Values Range Calculator
Five Whole Values Range Calculator — Exactly five supplied whole-number observations, not arbitrary-length data or statistical inference.
- Five Whole Values Strict Below Percentile Rank Calculator
Five Whole Values Strict Below Percentile Rank Calculator — Exactly five whole-number observations; strict-below empirical rank, no tie averaging or interpolated quantile.
- Five Whole Values Sum Of Squares Calculator
Five Whole Values Sum Of Squares Calculator — Exactly five supplied whole-number observations, not arbitrary-length data or statistical inference.
- Supplied Continuous Uniform Density Calculator
Supplied Continuous Uniform Density Calculator — Distinct ordered whole-number endpoints.
- Supplied Interval Absolute Half Width Calculator
Supplied Interval Absolute Half Width Calculator — Report supplied interval half-width, not inferred instrument uncertainty or a confidence interval.
- Supplied Quarter Z Raw Score Calculator
Supplied Quarter Z Raw Score Calculator — Quarter-step z input represented explicitly as a whole count of quarters; no normal distribution assumption.
- Supplied Whole Range Ceiling Class Width Calculator
Supplied Whole Range Ceiling Class Width Calculator — Whole-number class width convention; equal endpoints yield zero; no implied automatic bin-edge coverage.
- Supplied Whole Value Z Score Calculator
Supplied Whole Value Z Score Calculator — Whole-number supplied summary parameters; standardization only, no normality or percentile claim.
- Three Whole Values Median Absolute Deviation Calculator
Three Whole Values Median Absolute Deviation Calculator — Unscaled MAD for exactly three whole-number values; no normal-consistency multiplier.
- Three Whole Values Unique Mode Calculator
Three Whole Values Unique Mode Calculator — Exactly three whole-number observations; all-distinct input is refused because it has no unique mode.
Supplied count summaries
Supplied empirical counts and weights; no estimated future probabilities.
- Five Star Supplied Count Average Calculator
Five Star Supplied Count Average Calculator — Five-star ratings only; supplied whole counts, at least one rating; no fetched reviews.
- Supplied Count Pie Sector Degrees Calculator
Supplied Count Pie Sector Degrees Calculator — One sector only with count no larger than total; no automatic full-category partition.
- Supplied Count Relative Frequency Calculator
Supplied Count Relative Frequency Calculator — Finite supplied counts only; no estimate of an unobserved population.
- Three Category Supplied Count Gini Simpson Calculator
Three Category Supplied Count Gini Simpson Calculator — Exactly three categories, at least one observation; Gini-Simpson 1-sum(p²) convention, not finite-sample n(n-1) convention.
- Three Category Supplied Count Iqv Calculator
Three Category Supplied Count Iqv Calculator — Exactly three declared categories including zero-count categories; at least one observation.
- Three Outcome Supplied Count Expected Value Calculator
Three Outcome Supplied Count Expected Value Calculator — Exactly three enumerated whole-number outcomes and counts.
Paired descriptive models
Three supplied pairs, descriptive coefficients and model calculations; no inference or causality.
- Supplied Observed Minus Predicted Residual Calculator
Supplied Observed Minus Predicted Residual Calculator — Whole-number observation and prediction; signed residual, not an absolute error or fitted model.
- Three Pairs Intercept Regression Prediction Calculator
Three Pairs Intercept Regression Prediction Calculator — Exactly three whole-number pairs plus a whole-number query; no predictive certainty, polynomial fitting or statistical inference.
- Three Pairs Intercept Regression R Squared Calculator
Three Pairs Intercept Regression R Squared Calculator — Exactly three whole-number pairs; intercept model only, no confidence or general-model R-squared.
- Three Pairs Mean Squared Error Calculator
Three Pairs Mean Squared Error Calculator — Three supplied paired whole values, not fitted residual degrees-of-freedom variance.
- Three Pairs Pearson Correlation Calculator
Three Pairs Pearson Correlation Calculator — Both whole-number series must vary; Pearson coefficient, not causality or confidence.
- Three Pairs Population Covariance Calculator
Three Pairs Population Covariance Calculator — Exactly three whole-number pairs, population divisor three; no inference.
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