Statistics Calculator
Enter your values below and click Calculate for instant results.
Calculate mean, median, mode, range, quartiles, IQR, and standard deviation from any set of numbers.
Enter your values below and click Calculate for instant results.
Descriptive statistics summarize and describe the key features of a data set. Rather than drawing conclusions about a larger population, they simply describe what is in the data itself. This calculator computes the most commonly needed descriptive statistics from any list of numbers you provide.
The five-number summary (minimum, Q1, median, Q3, maximum) provides a compact description of a data set that captures its center, spread, and shape. It is the basis of the box-and-whisker plot, one of the most useful data visualizations in exploratory analysis.
The mean (average) is sensitive to outliers. One very high or very low value can pull the mean significantly away from where most of the data sits. The median (middle value) is resistant to outliers and is often a better measure of center for skewed data like income or home prices. The mode (most frequent value) is most useful for categorical data or when you want to know the most common outcome.
The IQR is the range of the middle 50% of values, from Q1 (25th percentile) to Q3 (75th percentile). It is a robust measure of spread that is not affected by extreme outliers. Values that fall more than 1.5 times the IQR below Q1 or above Q3 are often flagged as potential outliers in statistical analysis.