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Statistics Calculators 2026 - Mean, Std Dev, T-Test, P-Value

Free statistics calculators for mean, median, mode, standard deviation, confidence intervals, t-test, z-test, chi-square, and correlation. Each tool shows the formula and the substituted values so you can include the working in a report or assignment.

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Why use these tools

What makes the statistics category useful

This category groups calculators that solve closely related real-world tasks, so you can move from a quick estimate to a more specific planning tool without restarting the process.

Compute mean, median, mode, range, and quartiles for any dataset in one paste

Calculate sample and population standard deviation, variance, and standard error

Run t-test, z-test, chi-square, and F-test with the test statistic and p-value shown

Build 90, 95, and 99 percent confidence intervals around a sample mean

Find correlation coefficient, p-value, and degrees of freedom for paired data

Coursework and exam prep

Verify hypothesis testing, descriptive stats, and confidence intervals against your textbook working.

Research and reports

Generate test statistics, p-values, and intervals you can paste straight into a paper or memo.

A/B testing decisions

Check whether a conversion rate change is statistically significant before rolling it out.

Category FAQ

How do I calculate standard deviation?

Take each value minus the mean, square the difference, average those squared differences (sample uses n minus 1), then take the square root. For the dataset 2, 4, 4, 4, 5, 5, 7, 9 the population standard deviation is 2.0 and the sample standard deviation is 2.14.

What is the difference between a t-test and a z-test?

Use a z-test when the population standard deviation is known and the sample size is over 30. Use a t-test when the population standard deviation is unknown or the sample size is small. The t-test uses the t-distribution with n minus 1 degrees of freedom.

How do I interpret a p-value?

A p-value below 0.05 is conventionally treated as statistically significant, meaning the result is unlikely to be due to chance. A p-value above 0.05 means you fail to reject the null hypothesis at the 95 percent confidence level.

How do I build a 95 percent confidence interval?

For a normal distribution: mean plus or minus 1.96 times standard error. With a sample mean of 50, standard deviation 10, and n = 100, the standard error is 1.0 and the 95 percent interval is roughly 48.04 to 51.96.

What does the correlation coefficient r tell me?

r ranges from -1 to +1. Values near +1 mean a strong positive linear relationship, near -1 a strong negative one, and near 0 no linear relationship. r = 0.8 indicates a strong positive correlation but does not prove causation.

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All calculations run locally. Trusted statistical analysis with step-by-step breakdowns.

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