Mean, Median, Mode Calculator
Compute mean, median and mode for any data set. Free online Mean, Median, Mode Calculator for statistics — instant, accurate results, no signup needed.
Derivation
- ├── 01Given
n values = 8, sorted = 1, 2, 3, 5, 5, 7, 8, 9 - ├── 02Sum
2 + 5 + 7 + 3 + 8 + 5 + 9 + 1 = 40 - ├── 03Formula
mean = sum / n - ├── 04Substitute
40 / 8 - ├── 05Mean5.0000
- ├── 06Median position
even count → average positions 4 and 5: (5 + 5) / 2 - ├── 07Median5
- ├── 08Frequencies
1×1, 2×1, 3×1, 5×2, 7×1, 8×1, 9×1 - ├── 09Mode5
- └── 10Range9 − 1 = 8
The arithmetic mean goes back to Babylon; the median was formalised by Gustav Fechner (1874); "mode" was coined by Karl Pearson in 1895.
Understanding the Mean, Median, Mode Calculator
The Mean, Median, Mode Calculator helps you compute compute mean, median and mode for any data set.. It runs entirely in your browser with no sign-up required.
Statistics is how we make sense of noisy real-world data. Whether you’re analysing survey results, sports scores, or business metrics, a statistics calculator gives you the exact formula-based answer so you can focus on the interpretation. The Mean, Median, Mode Calculator sits in that toolkit — it compute mean, median and mode for any data set. Enter your numbers above and the result updates instantly; every step of the math is shown in the Derivation panel so you can see exactly how the answer was reached.
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