Statistics Tool
Mean, Median, Mode Calculator
Calculate the average, middle value, and most frequent number in a dataset.
Separate values with commas or spaces.
Σ The Formula
Mean = Σx / n | Median = middle value | Mode = most frequent value
Real World Examples
Test Scores
Dataset: 85, 90, 85, 78, 92 → Mean = 86, Median = 85, Mode = 85
Sales Data
Dataset: 100, 150, 100, 200, 100 → Mean = 130, Median = 100, Mode = 100
With Outlier
Dataset: 10, 12, 11, 10, 100 → Mean = 28.6 (skewed), Median = 11 (better)
No Mode
Dataset: 5, 10, 15, 20 → Mean = 12.5, Median = 12.5, Mode = none
# About This Calculator
Mean, Median, and Mode are the three primary measures of "central tendency" – valid ways to describe the center of a data set. While they all aim to capture what is "typical," they do so in different ways and are used in different scenarios.
These statistics are the backbone of data science, economics, psychology, and almost every scientific field. From calculating grade point averages to estimating national income, knowing which average to use is a critical skill in data literacy.
The Three Measures
- Mean (Average): The sum of all values divided by the number of values. Best for symmetric data without outliers.
- Median (Middle): The middle value when sorted. If there's an even count, it's the average of the two middle numbers. Best for skewed data (like income).
- Mode (Frequent): The most common value(s). Can be none, one (unimodal), or many (multimodal). Best for categorical data.
How To Use
- Type or paste your numbers into the input box.
- Separate values with **commas** (e.g., 10, 20, 30) or **spaces**.
- Click **Calculate Stats**.
- See the Mean, Median, Mode, and a frequency histogram below.
Frequently Asked Questions
When should I use Median instead of Mean?+
Use the Median when your data has 'outliers' (extreme values) or is 'skewed'. For example, if 5 people earn $50k and one earns $10M, the mean will be huge ($1.7M) and misleading. The median ($50k) accurately represents the typical person.
Can there be more than one Mode?+
Yes! A dataset can be 'bimodal' (two modes) or 'multimodal' (many modes) if multiple numbers tie for the highest frequency. If all numbers appear exactly once, there is no mode.
How do you find the Median of an even set of numbers?+
If you have an even number of data points, there is no single middle number. Instead, take the two middle numbers and find their average (add them and divide by 2).
Are these used in Machine Learning?+
Absolutely. Missing data imputation often uses mean/median to fill gaps. Normalizing data (Z-scores) relies on mean and standard deviation. Understanding the distribution via these metrics is the first step in any ML project.
What is the relationship between Mean, Median, and Mode in a normal distribution?+
In a perfectly symmetrical 'Bell Curve' (Normal Distribution), the Mean, Median, and Mode are all exactly the same value and are located at the center peak of the curve.
Is Mean, Median, Mode Calculator free to use?+
Yes, Mean, Median, Mode Calculator on Matheric is completely free to use. We believe in accessible education and utility for everyone.