Mean Median Mode Calculator
Paste a numeric data set to calculate common measures of center with the detected mode values shown explicitly.
Which center to report, and what the gap between them tells you
For 3, 7, 8, 12 the median is the average of the middle pair, (7 + 8) ÷ 2 = 7.5, and the mean is also 7.5. No value repeats, so Lynara reports no mode rather than labelling every value as one.
Outliers can pull the mean far from the typical observation. For 30, 32, 35, 38 and 250, the mean is 77 while the median is 35. For 2, 3, 3, 5, 5, 9, the data are bimodal with modes 3 and 5.
Use the mean when arithmetic balance is meaningful, the median when resistance to extreme values matters, and the mode when the most common category or exact value is the question. A gap between mean and median can be a clue to skew, not a diagnosis by itself.
Only exact repeated values count toward the mode in this calculator, so rounding measurements can create or hide modes.
Source: NIST/SEMATECH e-Handbook of Statistical Methods, Measures of Location.
Privacy: calculator inputs are processed in your browser; Lynara does not need to upload these values to calculate the result.
Formula
mean = Σx ÷ n; median = middle sorted value; mode = most frequent value or values
Example
For 2, 4, 4, 7, 8 the mean is 5, median is 4 and mode is 4.
Useful for
- Intro statistics homework
- Descriptive statistics
- Checking a data set quickly
Questions
Can a data set have more than one mode?
Yes. If multiple values tie for the highest frequency above one occurrence, the calculator reports all tied modes.
What if every value appears once?
The calculator reports no repeated mode rather than labeling every value as a mode.