Quote Normalizer
Measurement Uncertainty Calculator (Mass/Volume → Concentration)
A practical tool for uncertainty calculation, error propagation, and concentration from weighing and volume inputs.
- Calculates combined standard uncertainty (uc) and expanded uncertainty (U = k·uc) from weighing/volume/dilution inputs
- Convert ±tolerance to standard uncertainty on the spot
- Shows contribution breakdown to identify dominant error sources
Designed to complete in the first 10 seconds: input → results → report copy on one screen.
Select template
Inputs are auto-saved
Coverage factor
k=1 ~68%
k=2 ~95%
k=3 ~99.7%
ಆಯ್ಕೆಗಳು
Inputs (values and uncertainties)
| Variable | ಮೌಲ್ಯ | ಘಟಕ | Uncertainty input | ಪ್ರಕಾರ | Distribution | Converted u (standard) |
|---|
One row = one factor. Enter SD or ±tolerance.
Formula (template)
Applies the formula for the selected template.
Uses first-order (linearized) error propagation.
ಫಲಿತಾಂಶಗಳು
Calculated result
--
Show unit
Combined standard uncertainty uc
--
Expanded uncertainty U = k·uc
--
Relative uncertainty
--
Display example
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Calculation stops if division by zero or missing inputs.
Main contributions (variance share)
Open breakdown table
| Variable | ಮೌಲ್ಯ | u(x) | Sensitivity coefficient c | |c|·u(x) | c²·u(x)² | Contribution share |
|---|
Copy for reports
ಬಳಸುವುದು ಹೇಗೆ
- Select a template
- Enter values and uncertainties (SD or ±tolerance)
- Choose k (e.g., k=2)
- Copy results into your report
Practical examples
Example 1: mg/L from weighing (mg) and volumetric flask (mL)
Estimate concentration uncertainty from mass and volume tolerances
Example 2: Standard dilution (C2 = C1·V1/V2)
Evaluate uncertainty from stock concentration, aliquot, and final volume
Example 3: Ratio (A/B)
Display ratios such as recovery in %
Action-safe margin (%)
Only ±tolerance is available (SD unknown)
You can convert ±tolerance to standard uncertainty using assumed distribution: Normal (with k) u = a / k, Rectangular u = a / √3, Triangular u = a / √6.
Which k should I use?
k=2 (about 95%) is commonly used. Follow your standard, internal rule, or client requirement.
I want to paste into a report
Outputs are available as plain text, Markdown, CSV, and JSON for easy copy/paste.
ಟಿಪ್ಪಣಿಗಳು
- This tool assumes independent inputs and uses first-order (linearized) error propagation.
- If inputs are correlated or errors are large and nonlinear, results can be under- or over-estimated.
- Unit conversion is explicit to avoid input mistakes.