📈 Mean Median Mode Calculator
Calculate measures of central tendency: mean, median, and mode. Understand your data distribution with visual charts.
Measures of Central Tendency
Central tendency describes the central or typical value in a dataset. The three main measures are mean, median, and mode.
Definitions
The sum of all values divided by the number of values.
Mean = (x₁ + x₂ + ... + xₙ) / n
Best used when: Data is symmetrically distributed without outliers.
The middle value when data is arranged in order.
For odd n: Middle value
For even n: Average of two middle values
Best used when: Data has outliers or is skewed.
The value that appears most frequently in the dataset.
Best used when: Working with categorical data or identifying most common value.
When to Use Each Measure
| Scenario | Best Measure | Why |
|---|---|---|
| Symmetric data, no outliers | Mean | Uses all data points |
| Data with outliers | Median | Not affected by extreme values |
| Categorical data | Mode | Only measure for categories |
| Income data | Median | Resistant to high earners |