Mean, Median, Mode & Range Calculator
Calculate the mean, median, mode, and range from any data set. Shows sorted data with step-by-step median calculation for even-numbered datasets.
Mean Median Mode
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The Formula
MeanThe sum of all values divided by the count of values. The most common measure of central tendency., median, mode, and range are the most fundamental measures of central tendency and spread in descriptive statistics. The mean is the arithmetic average, the median is the middle value when sorted, the mode is the most frequent value, and the range measures the spread between extreme values.
Variable Definitions
Mean & Median
Mean is the arithmetic average (sum/count), sensitive to outliers. Median is the middle value when sorted, resistant to outliers.
Mode
The most frequently occurring value(s). A dataset can have one mode (unimodal), multiple modes (multimodal), or no mode (all unique values). Useful for categorical data.
Range
The difference between the maximum and minimum values. A simple but crude measure of spread, since it only uses two values.
How to Use This Calculator
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Enter your data set as numbers separated by commas, spaces, or semicolons.
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View the mean, median, mode, and range calculated instantly in the results.
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The sorted data is shown below to help you verify the median calculation visually.
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For even-numbered datasets, the calculator shows the step-by-step median calculation: (middle value 1 + middle value 2) / 2.
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The sum and count are also displayed, which are useful for statistical reporting and further calculations.
Mean, median, and mode describe the center of a dataset in different ways
Understanding the Concept
These four descriptive statistics are the foundation of exploratory data analysis. The mean is the most commonly used measure of central tendency, but it has a critical weakness: it is sensitive to outliers. A single extreme value can pull the mean in its direction, giving a misleading picture of a typical value. For example, if nine people earn $50,000 and one person earns $5,000,000, the mean is $545,000 — which does not represent anyone in the group. The median ($50,000) is far more representative here. The median is preferred for skewed distributions like income, housing prices, and reaction times. The mode is unique among these statistics because it works with categorical data (fruit types, colors, brands) where mean and median are meaningless. The range is the simplest measure of spread but only uses the two most extreme values, making it highly sensitive to outliers. For a more robust measure of spread, use the interquartile range (IQR) available in the statistics calculator. Together, these statistics give a quick but comprehensive overview of any data set.
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