Calculators

Calculates the t-statistic, used in hypothesis testing when the population standard deviation is unknown. This calculator helps determine if the difference between a sample mean and a population mean is statistically significant.

Calculates the median of a set of numbers. The median is the middle value in a dataset when the numbers are arranged in order.

Calculates the ratio of the standard deviation to the mean, providing a relative measure of dispersion.

Calculates how many standard deviations a data point is from the mean of its distribution.

Calculates the entropy (average level of information, surprise, or uncertainty) inherent in a variable's possible outcomes.

Calculates probabilities and percentiles associated with the standard normal (Z) distribution or any normal distribution.

Calculates the average of the absolute differences between each data point and the mean.

Performs a Z-test to compare a sample mean to a known population mean or to compare two sample means when population variances are known.

Calculates the pooled standard deviation, an estimate of the standard deviation for two samples assuming equal variance, often used in two-sample t-tests.

Illustrates how the sampling distribution of the mean approaches normality as sample size increases.