Statistics & graphs · SL/HL
Mean, median, mode & range
Summarize a dataset with centre and spread.
Your values
Number formats & units
Use decimal dots in datasets. Single values also accept decimal commas and scientific notation such as 1.2e-3 or 1.2 × 10⁻³.
Calculated locally. No account or input upload.
Result & working
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Interpretation & assumptions
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Formula & example
The relationship
What the variables mean
| Symbol | Meaning |
|---|---|
| median | Middle value after sorting. |
| Most frequent value(s), if any repeat. |
Worked example
- Data
- 12.1, 11.8, 12.4, 12.0, 11.9, 12.0
mean = 12.03333
Follow the example steps
- n = 6
- mean = Σx/n = 72.2 / 6 = 12.03333
- median = 12
- range = 12.4 − 11.8 = 0.6
Common mistakes
An extreme value affects the mean more than the median.
Incorrect approach
1, 2, 100: median = (1 + 2 + 100)/3
Correct approach
median = 2; mean ≈ 34.33
More checks before you submit
- The mean can be sensitive to skew and extreme values.
Method notes
Use summary statistics only after checking the raw data for transcription errors and biologically meaningful outliers.