Math · FINFLO

Statistics calculators

Explore averages, spread, probability, confidence intervals, p-values, and sample-size calculations.

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Choosing a statistical summary or probability model

Descriptive tools summarize the dataset entered, while inferential tools use additional assumptions to estimate uncertainty or evaluate a model. Check whether the question concerns a typical value, variation, a probability, or sampling precision. These questions require different inputs and should not be answered with the same headline statistic.

Review sample versus population conventions and any distribution or independence assumptions. A precise arithmetic output does not correct biased data collection. Keep the original data and study context alongside the calculated result so that a statistical quantity is not interpreted more broadly than its model allows.

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Standard Deviation Calculator

Dataset summary

  • Numbers

Mean = Σx / n; population variance = Σ(x − mean)² / n; sample variance uses n − 1.

How it works
Confidence Interval Calculator

Mean confidence interval

  • Sample mean
  • Standard deviation
  • Sample size
  • Confidence level (%)
  • Method

Interval = mean ± critical value × standard deviation / √n.

How it works