Median Calculator

The median is the middle value of a data set when all numbers are arranged in order from smallest to largest. Unlike the mean, it is not affected by extremely high or low outliers. If five home prices are $200K, $220K, $250K, $240K, and $2M, the median is $240K — a figure that reflects a typical home in the neighborhood far better than the mean of $582K.

To find the median, first sort the values. If the count is odd, the median is the single middle number. For the set {1, 3, 5, 7, 9}, the median is 5 — the third of five values. If the count is even, there is no single middle value, so the median is the average of the two central numbers. For {1, 2, 3, 4}, the two middle values are 2 and 3, so the median is (2 + 3) ÷ 2 = 2.5.

The median is one of the three common measures of central tendency, alongside the mean and the mode. Statisticians often report median income, median home prices, and median test scores because real-world data frequently has skewed distributions where a few extreme values distort the mean. In a right-skewed distribution (many low values, a few very high ones), the median is typically less than the mean.

In even-sized data sets, remember to average the two middle values rather than picking one arbitrarily. For {10, 20, 30}, the median is 20. For {10, 20, 30, 40}, the median is (20 + 30) ÷ 2 = 25. This convention ensures the median always divides the data set into two equal halves by count.

Medians appear in everyday reporting: the "typical" salary in a region, the middle ACT score in a class, or the 50th percentile in growth charts for children. When you need a representative value that is not skewed by extremes, the median is usually the better choice. Enter your numbers in any order — the calculator sorts them and returns the correct median automatically.