Calculate mean, median and sum of numbers. Free instant average calculator.
Averages are among the most fundamental tools in statistics, used daily by students, analysts, and researchers to summarize data sets into meaningful single values. This calculator computes the arithmetic mean (the sum of all values divided by the count), the median (the middle value when sorted), and the total sum. Enter any list of numbers separated by commas, spaces, or line breaks, and see all three statistics instantly. Understanding when to use the mean versus the median is crucial: the mean works best for symmetric distributions, while the median better represents skewed data where outliers could distort the average.
Enter your numbers in any format. The calculator parses your input, sorts the values, and computes three statistics. The mean equals the sum of all values divided by the count. The median is the middle value for odd-count lists, or the average of the two middle values for even-count lists. The sum is simply all values added together. Results update in real time as you type.
Students calculate grade averages for report cards. Teachers compute class performance metrics. Athletes track running times or scores over a season. Financial analysts summarize stock price movements. Researchers process experimental data sets. Home buyers compare property prices across neighborhoods.
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The mean is the arithmetic average, calculated by summing all values and dividing by the count. The median is the middle value when all numbers are sorted in order. The median is more resistant to outliers. For example, in the set 1, 2, 3, 4, 100, the mean is 22 but the median is 3, which better represents the typical value.
Use the median when your data contains outliers or is heavily skewed. Income data is a classic example: a few very high earners can pull the mean well above what a typical person earns. The median income gives a better picture of the middle-class experience.
A weighted average multiplies each value by its assigned weight, sums those products, and divides by the total of all weights. For example, if homework counts 30% and exams count 70%, multiply your homework average by 0.30 and your exam average by 0.70, then add the results.
Yes, averages work with any real numbers including negatives. Simply add all values including negative ones and divide by the count. For example, the average of -5, 10, and 15 is (-5 + 10 + 15) / 3 = 6.67.
The mode is the value that appears most frequently in a data set. This calculator focuses on mean, median, and sum. A data set can have no mode (all values unique), one mode, or multiple modes if several values share the highest frequency.