Median Calculator

The median is a fundamental measure of central tendency in statistics that identifies the exact middle point of a dataset. When all data points are arranged in order from least to greatest, exactly half of the values lie above the median and half lie below it, making it much less sensitive to extreme outliers than the traditional average.

To calculate the median, you must first arrange all numerical values in ascending order. If your dataset contains an odd quantity of numbers, select the exact center number. If it contains an even quantity of numbers, take the two central values, add them together, and divide that sum by two to get the final middle value.

For the dataset 0, 1, 1, 18, the numbers are already sorted in ascending order. Since there are four values (an even count), the two middle numbers are the second and third values, both of which are 1. Adding 1 and 1 together yields 2, and dividing by 2 results in a median of 1.

You should use the median when your dataset contains skewed distributions or significant outliers, such as household incomes or real estate prices, where a few extremely large values would distort the mean. Use the mean when your data follows a normal, symmetrical distribution and every single data point needs to contribute equally to the final metric.

The median is equal to the mean when the dataset is perfectly symmetrical. This occurs in uniform distributions, standard bell curves, or any sequence of numbers where the distribution of values on the lower end mirrors the upper end, balancing the center point precisely.