Mean, Median, Mode, and Range Explained
The mean, median, mode, and range are the four most common measures used to summarize a set of numbers. This mean median mode calculator computes all four from a single list of values, saving you the work of sorting and counting by hand. Whether you are analyzing test scores, household income, or survey responses, these statistics give you a quick snapshot of your data.
What is the Mean?
The mean, also called the average, is the sum of all values divided by the number of values. It is the most widely used measure of central tendency. However, the mean is sensitive to outliers, which are extremely high or low values that can pull the average away from the center of the data. For example, one very large salary in a small company can make the mean salary look much higher than what most employees actually earn.
What is the Median?
The median is the middle value when all numbers are arranged in order. If there is an even number of values, the median is the average of the two middle numbers. Because the median depends only on position, it is not affected by outliers. This is why economists often report median household income rather than mean income, as the median better represents what a typical household earns.
What is the Mode and Range?
The mode is the value that appears most frequently. A data set can have one mode, more than one mode, or no mode at all when every value occurs the same number of times. The range is simply the difference between the largest and smallest values, giving you a sense of how spread out the data is. Together, these four numbers help you understand both the center and the spread of any data set.
How to Use This Calculator
Enter your numbers separated by commas or spaces, such as "5, 8, 8, 10, 12". The calculator instantly shows the mean, median, mode, range, count, sum, and a sorted list of your values. If you have a larger data set and want to understand how much values vary, try our standard deviation calculator to measure dispersion more precisely.