Statistics Calculator
Calculate comprehensive statistics: mean, median, mode, range, variance, standard deviation, and more from any dataset.
Inputs
Results
Descriptive Statistics
Mean: sum ÷ count. Median: middle value (sorted). Mode: most frequent value. Range: max − min. Variance: average squared deviation from mean. Std Dev: √variance. These are the core measures of central tendency and spread.
What is the Statistics Calculator?
The Statistics Calculator is a comprehensive data analysis tool that takes a raw dataset and simultaneously calculates all the most important descriptive statistics, including the mean, median, variance, and standard deviation.
How It Works (Formula)
The tool parses your list of numbers and mathematically groups them. It calculates the arithmetic mean by dividing the sum by the count. It sorts the array to find the median and uses quadratic deviations to calculate the variance.
$$ \bar{x} = \frac{\sum x_i}{n} \quad \text{and} \quad s = \sqrt{\frac{\sum (x_i - \bar{x})^2}{n-1}} $$
The formulas for sample mean and sample standard deviation.
How to Use It
Simply paste or type your dataset into the input box, separating the numbers with commas or spaces. Specify whether this is a "population" or a "sample". The calculator will output a detailed table of all statistical metrics.