Absolute Uncertainty Calculator
Calculate absolute uncertainty from relative uncertainty and measured values for statistical analysis
Calculate Absolute Uncertainty
The actual measured quantity or observation
Relative uncertainty as a percentage
Uncertainty Results
Formula used: AU = MV × (R/100)
Measurement range: 0.0000 ± 0.0000 (0.0000 to 0.0000)
95% Confidence Interval: [0.0000, 0.0000]
Uncertainty Analysis
Example Calculation
Temperature Measurement
Scenario: Outdoor temperature measurements
Mean temperature: 60.0°F
Standard deviation: 1.8°F
Relative uncertainty: (1.8/60.0) × 100 = 3.0%
Calculation
AU = MV × (R/100)
AU = 60.0 × (3.0/100)
AU = 60.0 × 0.03
AU = ±1.8°F
Range: 58.2°F to 61.8°F
Types of Uncertainty
Type A
Statistical analysis
Evaluated by repeated observations
Type B
Other means
Based on scientific judgment
Combined
Standard uncertainty
Root sum of squares
Measurement Tips
Always report measurements with uncertainty
Use appropriate significant figures
Consider all sources of uncertainty
Validate with repeated measurements
Understanding Absolute Uncertainty
What is Absolute Uncertainty?
Absolute uncertainty represents the margin of error in a measurement, expressed in the same units as the measured quantity. It tells you the range within which the true value likely lies and is essential for understanding measurement reliability.
Why is it Important?
- •Quantifies measurement precision and reliability
- •Essential for error propagation calculations
- •Required for proper scientific reporting
- •Helps compare measurement quality
Formula Explanation
AU = MV × (R/100)
- AU: Absolute uncertainty (same units as measurement)
- MV: Measured value (the quantity being measured)
- R: Relative uncertainty (percentage)
Note: Absolute uncertainty is also commonly calculated from standard deviation when multiple measurements are available.
Common Applications
- •Scientific measurements and laboratory work
- •Engineering tolerance analysis
- •Quality control and manufacturing
- •Environmental monitoring
- •Medical and clinical measurements
Interpretation Guidelines
<1% Relative Uncertainty: Excellent precision
1-5% Relative Uncertainty: Good precision
5-10% Relative Uncertainty: Acceptable precision
>10% Relative Uncertainty: Poor precision