Quickly calculate the mean (average), median (middle value), mode (most frequent), and range (difference between maximum and minimum) for any set of numbers.
Add all numbers together and divide by the total count.
Arrange numbers from smallest to largest and find the exact center value.
The value that occurs most often in the dataset.
Difference between highest and lowest values in the dataset.
Mean, median, mode, and range are the four foundational measures of summary statistics. The first three describe the center of a distribution, while range describes its overall breadth.
Use median when data contains severe outliers or extreme skew (such as household incomes or house prices), because the median is resistant to extreme values.
A dataset can have no mode (if all values appear once), one mode (unimodal), two modes (bimodal), or several modes (multimodal).
Calculate mean, median, mode, and range for: 3, 7, 5, 13, 20, 23, 39.
Yes! In a perfectly symmetric normal distribution (bell curve), the mean, median, and mode are exactly identical.
Understanding your calculation
The mean is sum divided by count; the median is the middle of the sorted data; modes are most frequent values; the range is maximum minus minimum.
For 1, 2, 2 and 7, the mean is 3, median is 2, mode is 2 and range is 6.
Multiple modes or no uniquely most frequent value are possible. The mean is more sensitive to extreme observations than the median.