Mean Calculator
LiveCalculate arithmetic or weighted mean with sum, count, median comparison and a dataset visual.
Calculator category
Statistics Calculators
Use 20 live Statistics calculators for dataset summaries, event probability, counting, probability distributions and estimation. Each tool states its method, validates inputs and reveals a result-specific visual only after calculation.
Last reviewed: August 6, 202620 live tools10 planned tools30 tools
Search statistics calculators
Find live descriptive-statistics tools and review the approved planned Statistics inventory.
30 calculators
Calculate the median for odd or even datasets with sorted values and middle-position steps.
Mode Calculator
LiveFind one mode, multiple modes or no repeated mode with a numeric frequency table.
Range Calculator
LiveCalculate dataset minimum, maximum and range with a min-to-max spread visual.
Calculate sample or population variance with deviations, squared deviations and denominator steps.
Calculate sample or population standard deviation, variance and spread around the mean.
Calculate z-score from value, mean and standard deviation or recover a value from z.
Calculate percentile values by nearest rank or interpolation, or find a target value's rank.
Calculate Q1, median Q2, Q3 and a five-number summary using documented Tukey, inclusive or exclusive methods.
IQR Calculator
LiveCalculate interquartile range, Q1, Q3 and 1.5 IQR fences from a dataset or direct quartile inputs.
Calculate simple, complement, independent, conditional and odds-based probabilities with visible event rules.
Update a prior probability with evidence using direct, complementary-likelihood or sensitivity-specificity inputs.
Calculate exact permutations without repetition, arrangements with repetition, or n factorial using BigInt.
Calculate exact combinations with or without repetition and compare unordered selections with permutations.
Calculate normal probabilities below, above or between values, or recover x from a z-score, mean and standard deviation.
Calculate exact, at-most, at-least or interval binomial probabilities with mean and variance.
Calculate exact, cumulative or interval Poisson probabilities from an average event rate and interval multiplier.
Calculate confidence intervals for a mean or proportion with standard error, critical value and margin of error.
Estimate sample size for a proportion or mean from confidence, margin target and variability, with finite-population correction.
Calculate margin of error for a mean or proportion with confidence, sample size and optional finite-population correction.
Hypothesis Test Calculator
PlannedSupport hypothesis-test calculations.
T-Test Calculator
PlannedCalculate t-test statistics.
Chi-Square Calculator
PlannedCalculate chi-square statistics.
ANOVA Calculator
PlannedCalculate analysis-of-variance relationships.
Correlation Calculator
PlannedCalculate correlation coefficients.
Covariance Calculator
PlannedCalculate covariance.
Linear Regression Calculator
PlannedFit a linear regression model.
Logistic Regression Calculator
PlannedSupport logistic-regression workflows.
P-Value Calculator
PlannedCalculate p-value relationships.
Outlier Calculator
PlannedIdentify potential statistical outliers.
Descriptive Statistics
Calculate center, spread, standardized position, percentiles, quartiles and interquartile range with explicit conventions.
Mean Calculator
LiveCalculate arithmetic or weighted mean with sum, count, median comparison and a dataset visual.
Calculate the median for odd or even datasets with sorted values and middle-position steps.
Mode Calculator
LiveFind one mode, multiple modes or no repeated mode with a numeric frequency table.
Range Calculator
LiveCalculate dataset minimum, maximum and range with a min-to-max spread visual.
Calculate sample or population variance with deviations, squared deviations and denominator steps.
Calculate sample or population standard deviation, variance and spread around the mean.
Calculate z-score from value, mean and standard deviation or recover a value from z.
Calculate percentile values by nearest rank or interpolation, or find a target value's rank.
Calculate Q1, median Q2, Q3 and a five-number summary using documented Tukey, inclusive or exclusive methods.
IQR Calculator
LiveCalculate interquartile range, Q1, Q3 and 1.5 IQR fences from a dataset or direct quartile inputs.
Probability and Counting
Calculate event probability, Bayesian updates and exact ordered or unordered counts.
Calculate simple, complement, independent, conditional and odds-based probabilities with visible event rules.
Update a prior probability with evidence using direct, complementary-likelihood or sensitivity-specificity inputs.
Calculate exact permutations without repetition, arrangements with repetition, or n factorial using BigInt.
Calculate exact combinations with or without repetition and compare unordered selections with permutations.
Distributions
Calculate continuous normal areas and discrete binomial or Poisson event probabilities.
Calculate normal probabilities below, above or between values, or recover x from a z-score, mean and standard deviation.
Calculate exact, at-most, at-least or interval binomial probabilities with mean and variance.
Calculate exact, cumulative or interval Poisson probabilities from an average event rate and interval multiplier.
Estimation and Survey Planning
Estimate confidence intervals, required sample sizes and margins of error under stated sampling assumptions.
Calculate confidence intervals for a mean or proportion with standard error, critical value and margin of error.
Estimate sample size for a proportion or mean from confidence, margin target and variability, with finite-population correction.
Calculate margin of error for a mean or proportion with confidence, sample size and optional finite-population correction.
Planned Statistical Tests
Approved future tools for hypothesis tests, t tests, chi-square, ANOVA and p-values.
Hypothesis Test Calculator
PlannedSupport hypothesis-test calculations.
T-Test Calculator
PlannedCalculate t-test statistics.
Chi-Square Calculator
PlannedCalculate chi-square statistics.
ANOVA Calculator
PlannedCalculate analysis-of-variance relationships.
P-Value Calculator
PlannedCalculate p-value relationships.
Planned Relationships and Regression
Approved future tools for association, covariance and regression modeling.
Correlation Calculator
PlannedCalculate correlation coefficients.
Covariance Calculator
PlannedCalculate covariance.
Linear Regression Calculator
PlannedFit a linear regression model.
Logistic Regression Calculator
PlannedSupport logistic-regression workflows.
Planned Data Screening
Approved future rule-based outlier screening.
Outlier Calculator
PlannedIdentify potential statistical outliers.
What Statistics calculators measure
Descriptive statistics condense a dataset into values that describe center, spread or relative position. Mean, median and mode answer different questions about center; range, variance and standard deviation describe spread; z-scores and percentiles locate values within a reference dataset.
A calculated statistic is only as meaningful as the observations and method behind it. NexaCalc shows the selected denominator or percentile convention so results can be interpreted and reproduced.
Choosing a method
Use the mean for an arithmetic balance point, the median for the ordered middle and the mode for repeated values. Use range for a quick endpoint span, then variance or standard deviation when every observation's distance from the mean matters.
Use a z-score when a mean and standard deviation define the comparison scale. Use a percentile when the goal is rank within ordered observations, and always state the percentile convention because methods can differ on small datasets.
Probability, distributions and estimation
Probability rules describe event relationships, while permutation and combination formulas count possible outcomes. Normal, binomial and Poisson calculators apply different models, so the variable type and assumptions should guide the choice.
Confidence intervals, margin of error and sample-size estimates describe modeled sampling precision. They do not correct biased collection, nonresponse, measurement error or unsuitable study design.
FAQs
What are descriptive statistics?
Descriptive statistics summarize observed data through measures of center, spread, frequency and relative position without by themselves making population-wide claims.
When should I use mean instead of median?
Use the mean when every value should influence the arithmetic center. Prefer the median when skew or extreme values make the ordered middle more representative.
Can a dataset have more than one mode?
Yes. Several values can share the highest frequency. If every value occurs equally often, the Mode Calculator reports no distinct mode.
What does the range leave out?
Range uses only the minimum and maximum, so it does not describe how values are distributed between those endpoints.
What is the difference between population and sample variance?
Population variance divides the squared-deviation sum by n. Sample variance uses n minus 1 when estimating population variability from a sample.
Why is standard deviation easier to interpret than variance?
Standard deviation is the square root of variance, so it returns to the original measurement unit while variance uses squared units.
What does a z-score of zero mean?
A z-score of zero means the value equals the entered mean. Positive and negative scores show direction, and magnitude measures distance in standard deviations.
Can I compare z-scores from different scales?
Often yes when each value is standardized against a suitable mean and standard deviation, but comparability still depends on meaningful reference distributions.
Why can percentile calculators return different answers?
Percentile conventions use different rank and interpolation rules. Small datasets make those method differences especially visible.
Does a percentile equal a percentage score?
No. A percentage score is a fraction of possible points, while a percentile describes relative rank within a reference set.
Which probability calculators are live?
Probability, Bayes theorem, permutation, combination, normal, binomial and Poisson tools are live. Their pages label the event relationship or distribution assumptions used.
Can I plan survey precision here?
Yes. Confidence Interval, Sample Size and Margin of Error calculators are live for common mean and proportion models with visible assumptions.
Which Statistics tools remain planned?
The 10 planned tools are hypothesis test, t-test, chi-square, ANOVA, correlation, covariance, linear regression, logistic regression, p-value and outlier calculators.
Do these calculators prove statistical significance?
No. The live tools perform deterministic calculations. Statistical conclusions still depend on suitable data, assumptions, design and qualified interpretation.
Related categories
Continue with related NexaCalc categories and canonical tools.