Mean Median Mode Calculator
Calculate central tendency measures and data spread
Calculate Central Tendency
Enter numerical values one by one. New fields will appear automatically up to 30 values.
Enter Some Data Values
Please enter at least one numerical value to calculate the mean, median, mode, range, and midrange.
Example: Student Test Scores
Sample Data
Sorted: 78, 82, 85, 85, 85, 88, 89, 90, 92, 95
Central Tendency
Mean: 869 ÷ 10 = 86.9
Median: (85 + 88) ÷ 2 = 86.5
Mode: 85 (appears 3 times)
Data Spread
Range: 95 - 78 = 17
Midrange: (95 + 78) ÷ 2 = 86.5
Min: 78, Max: 95
Interpretation
The average score is 86.9, with the middle score being 86.5. The most common score is 85. Scores range from 78 to 95, showing moderate variability in student performance.
Central Tendency Measures
Mode Types
Quick Tips
Mean is affected by extreme values (outliers)
Median is robust against outliers
Mode is useful for categorical data
Range shows data spread simply
Understanding Central Tendency Measures
What Are These Measures?
Central tendency measures (mean, median, mode) describe the center of a dataset, while spread measures (range, midrange) show how data is distributed around that center.
When to Use Each
- •Mean: Best for symmetric distributions without outliers
- •Median: Better for skewed data or with outliers
- •Mode: Useful for categorical data or finding most common value
Mathematical Formulas
Remember: The median requires sorting data first, and mode depends on frequency counts.
Real-World Applications
| Field | Mean | Median | Mode |
|---|---|---|---|
| Sports | Average points per game | Median performance time | Most frequent score |
| Business | Average sales revenue | Median income analysis | Most sold product |
| Healthcare | Mean treatment duration | Median survival time | Most common diagnosis |
| Education | Average test scores | Median grade assessment | Most common answer |