Enter your data set as comma- or space-separated numbers, and this Median Calculator finds the median (middle value) along with the mean, mode, range, minimum, maximum, count, and sum. Paste values directly from a spreadsheet or type them in — results update as soon as you calculate.
Median
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Mean (Average)
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Mode
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Count (n)
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Sum
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Minimum
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Maximum
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Range
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Interquartile Range (IQR)
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The median is the middle value of a data set when all values are arranged in order from smallest to largest. Unlike the mean (average), the median is not affected by extremely high or low outliers, making it a better measure of central tendency for skewed data sets.
First, sort all values from smallest to largest. If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers. For example, for the set {3, 5, 7, 9}, the median is (5 + 7) / 2 = 6.
For an odd count (n), the median is the value at position (n + 1) / 2 in the sorted list. For an even count (n), the median is the average of the values at positions n / 2 and (n / 2) + 1. This calculator handles both cases automatically.
All three are measures of central tendency in statistics. The mean is the arithmetic average of all values. The median is the middle value when data is sorted. The mode is the value that appears most frequently. Each describes what is 'typical' in a data set in a different way.
The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) of a sorted data set. It represents the spread of the middle 50% of data and is useful for identifying outliers, since values more than 1.5 × IQR below Q1 or above Q3 are often considered outliers.
Outliers are data points that are significantly higher or lower than most values in a set. The median is resistant to outliers — a single extreme value does not shift the median the way it shifts the mean. This makes the median particularly useful for data sets like income, where a few very high values would skew the average.
Yes. If two or more values appear with the same highest frequency, the data set is called bimodal or multimodal, and all those values are considered modes. If every value appears only once, the data set has no mode.
You can separate values with commas, spaces, or new lines. You can also paste data directly from a spreadsheet or text document. The calculator will parse and sort the numbers automatically before computing results.