Updated Statistics & Probability

Statistics Calculator

Calculate mean, median, mode, variance, standard deviation, probability, Z-scores, normal distribution, combinations, permutations, correlation, and regression in one tool.

Descriptive Stats Probability Z-Score & Normal Correlation & Regression

All-in-One Statistics Calculator

Enter your data once and switch between descriptive statistics, probability, distributions, combinatorics, and correlation tools.

Example: 3, 7, 7, 2, 9, 10, 4

Enter probabilities as values between 0 and 1. P(A ∩ B) is the probability that both A and B occur.

Probabilities are approximated using the standard normal distribution.

X and Y must have the same number of values and be paired in order.

Statistics Calculator – Descriptive Statistics, Probability, and More

This all-in-one Statistics Calculator is designed to handle the most common tasks in basic statistics: descriptive statistics for raw data, probability rules, Z-scores, normal distribution probabilities, combinatorics, correlation, and simple linear regression.

Descriptive Statistics

The Descriptive Stats tab computes key summary measures from your data set, including count, sum, minimum, maximum, range, mean, median, mode, population variance, population standard deviation, sample variance, and sample standard deviation.

Enter numbers separated by commas, spaces, or new lines, and the calculator will automatically detect and process valid numeric values.

Basic Probability

The Probability tab uses the standard rules of probability for two events A and B. With P(A), P(B), and P(A ∩ B), it calculates:

  • P(A ∪ B) = P(A) + P(B) − P(A ∩ B)
  • P(A | B) = P(A ∩ B) ÷ P(B)
  • P(B | A) = P(A ∩ B) ÷ P(A)
  • P(Aᶜ) = 1 − P(A)
  • P(Bᶜ) = 1 − P(B)

Z-Score

The Z-Score tab standardizes a value x using the formula:

z = (x − μ) ÷ σ

This helps compare a value to the mean in terms of standard deviations, and indicates whether x is above or below the mean.

Normal Distribution

For normally distributed data with mean μ and standard deviation σ, the Normal Distribution tab approximates:

  • P(X ≤ x₁)
  • P(X ≥ x₁)
  • P(x₁ ≤ X ≤ x₂)

It works by transforming values to Z-scores and applying the cumulative distribution function of the standard normal distribution.

Combinations and Permutations

The Combinatorics tab calculates nPr and nCr using:

nPr = n! ÷ (n − r)!
nCr = n! ÷ (r! (n − r)!)

These are useful in counting problems, sampling, and probability.

Correlation and Regression

The Correlation tab takes paired X and Y data and computes:

  • Pearson correlation coefficient r
  • Coefficient of determination R²
  • Best-fit regression line y = a + b x
  • Slope b and intercept a

This is useful when you want to understand linearationships and make simple predictions based on a single explanatory variable.

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