Dice Average Calculator
Calculate expected value and average roll for any type of dice with statistical analysis
Calculate Dice Average
Select the type of dice you're using
How many dice are you rolling?
Dice Statistics
Detailed Analysis
Common Dice Average Chart
| Dice | 1 Die | 2 Dice | 3 Dice | 4 Dice | 5 Dice |
|---|---|---|---|---|---|
| d4 | 2.50 | 5.00 | 7.50 | 10.00 | 12.50 |
| d6 | 3.50 | 7.00 | 10.50 | 14.00 | 17.50 |
| d8 | 4.50 | 9.00 | 13.50 | 18.00 | 22.50 |
| d10 | 5.50 | 11.00 | 16.50 | 22.00 | 27.50 |
| d12 | 6.50 | 13.00 | 19.50 | 26.00 | 32.50 |
| d20 | 10.50 | 21.00 | 31.50 | 42.00 | 52.50 |
Common Dice Types
Tetrahedron (d4)
Average: 2.50
Cube (d6)
Average: 3.50
Octahedron (d8)
Average: 4.50
Deltohedron (d10)
Average: 5.50
Dodecahedron (d12)
Average: 6.50
Icosahedron (d20)
Average: 10.50
Average Formula
Single Die:
Average = (1 + sides) / 2
Multiple Dice:
Average = single_avg Ć num_dice
Standard Deviation:
Ļ = ā(variance Ć num_dice)
Applications
Gaming
Calculate average damage, HP, or skill checks
Education
Learn probability and statistics concepts
Game Design
Balance mechanics and difficulty
Statistics
Expected value and distribution analysis
Understanding Dice Averages and Expected Value
What is Dice Average?
The dice average, also known as expected value, represents the mean outcome you would expect over many rolls. For example, a standard 6-sided die has an average of 3.5, meaning over thousands of rolls, the average result approaches 3.5.
Why Use This Calculator?
- ā¢Game mechanics balancing and design
- ā¢Statistical analysis and probability studies
- ā¢Educational purposes for learning statistics
- ā¢Predicting outcomes in dice-based activities
Mathematical Foundation
Examples
- d6: Average = (1+6)/2 = 3.5
- 2d6: Average = 3.5 Ć 2 = 7.0
- d20: Average = (1+20)/2 = 10.5
- 3d8: Average = 4.5 Ć 3 = 13.5