Mean, Median, Mode, Range Calculator
Calculate the mean (average), median, mode, range, and standard deviation of any data set. Simply enter your numbers to get detailed statistical analysis instantly.
Understanding Basic Statistics
Statistical analysis helps us understand patterns in data. The three most common measures of "central tendency" are the mean, median, and mode.
Mean (Average)
The mean is the sum of all values divided by the total number of values. It is the most common form of "average" but can be skewed by outliers (extremely high or low numbers).
Mean = (Sum of all numbers) / (Count)
Median (Middle)
The median is the middle value when the data set is sorted in numerical order. If there is an even number of values, it is the average of the two middle numbers. The median is less affected by outliers than the mean.
Mode (Most Frequent)
The mode is the number that appears most frequently in the data set. A set can have one mode, multiple modes (if multiple numbers appear with the same top frequency), or no mode (if all numbers are unique).
Range
The range is the difference between the largest and smallest values. It gives you a quick idea of the spread of your data.
Range = Maximum - Minimum
? Frequently Asked Questions
Population Standard Deviation is used when you have data for the entire group (e.g., ages of every student in a class). Sample Standard Deviation is used when you only have a subset of the data (e.g., ages of 5 random students) and want to estimate the deviation for the whole group. Sample calculation divides by N-1 instead of N.
Yes. If two or more numbers appear with the same highest frequency, the data set is multimodal. This calculator lists all modes found.
The mean is pulled towards outliers. For example, in the set [1, 2, 3, 100], the mean is 26.5, which doesn't represent the majority well. The median is 2.5, which is a better representation of the 'center' for skewed data.