Separate values with commas, spaces, semicolons, tabs, or new lines.
Calculate the arithmetic average of any list of positive or negative numbers. The same data set also produces count, sum, median, range, quartiles, and variation measurements.
The arithmetic mean is the sum of all values divided by the number of values. Keeping the complete supporting statistics visible helps reveal when an outlier makes the average less representative.
The mean uses every value, the median uses the middle of the sorted data, and the mode reports the most frequent value or values. A data set in which every value occurs equally often has no mode.
Population measurements describe the entered values as the complete population. Sample measurements divide by n − 1 and are intended when the values are a sample of a larger population.
Q1 and Q3 are calculated as medians of the lower and upper halves. For an odd-sized data set, the overall median is excluded from both halves.
Related statistics pages: Statistics Calculator · Average Calculator · Mean Median Mode · Standard Deviation