Mean, Median & Mode Calculator
Get the mean, median, mode, range and more from a data set in one step.
Mean, Median & Mode Calculator
Get the mean, median, mode, range and more from a data set in one step.
How to use the Mean, Median & Mode Calculator
- Enter your data set separated by commas, spaces, or line breaks.
- Click Calculate.
Formula
Mean = Σx / n
Median = middle value (or average of two middle values)
Mode = most frequent value(s)
Range = Max − Min
Example
Data: 3, 7, 7, 8, 10, 12. Mean = 47÷6 ≈ 7.83, Median = 7.5, Mode = 7, Range = 9
Step-by-step calculation
- Sort the data: 3, 7, 7, 8, 10, 12.
- Mean: (3+7+7+8+10+12) ÷ 6 = 7.83.
- Median: (7+8) ÷ 2 = 7.5.
- Mode: 7 (appears twice, most frequent).
Real-world uses
- Descriptive statistics for reports.
- Comparing data distributions.
- Quality control and process analysis.
Common mistakes
- Not sorting data before finding the median.
- Assuming there is always exactly one mode (there may be none or multiple).
- Confusing sample and population measures (this tool shows raw descriptive stats).
Frequently asked questions
What if there are no repeated values?
The data set has no mode. The calculator will report "No mode".
What if two values tie for most frequent?
Both are reported as modes (bimodal). Three or more is multimodal.
Is this the same as standard deviation?
No. This tool shows mean, median, mode and range. Use the Standard Deviation Calculator for dispersion measures.