Mean, Median, Mode, Range Calculator
Enter values to compute descriptive statistics
Mean, Median, Mode, Range Calculator
Compute mean (average), median, mode, range, geometric mean, largest, smallest, sum, and count from a list of numbers.
🧮 Enter Numbers
Sorted data
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📈 Result
| Mean (Average) | 0 |
| Median | 0 |
| Range | - |
| Mode | - |
| Geometric Mean | - |
| Largest | - |
| Smallest | - |
| Sum | 0 |
| Count | 0 |
Mean
The arithmetic mean (average) of a data set is the sum of all values divided by the total number of values. It is commonly denoted as x̄. For population mean, μ is used.
Example with values 10, 2, 38, 23, 38, 23, 21:
(10 + 2 + 38 + 23 + 38 + 23 + 21) / 7 = 155 / 7 = 22.143
Other means include the weighted arithmetic mean and the geometric mean.
Median
The median splits an ordered data set into two halves. If the count is odd, the middle value is the median; if even, the median is the mean of the two middle values.
Sorted: 2, 10, 21, 23, 23, 38, 38
Outliers affect the mean more than the median. With an outlier added (1,027,892), the median remains 23 while the mean becomes 128,505.875.
Mode
The mode is the value that appears most often. A data set can be multimodal (more than one mode). Example: for 2, 10, 21, 23, 23, 38, 38, both 23 and 38 appear twice and are modes.
Mode can also apply to non-numeric categories (e.g., most popular brand in sales).
Range
The range is the difference between the largest and smallest values.
For 2, 10, 21, 23, 23, 38, 38: 38 − 2 = 36
Outliers can significantly increase the range.