# Analyse Measurement Data for an IB Mathematics IA & EE

Canonical HTML: https://www.prelearning.de/en/ib-mathematics-measurement-data-analysis/
Updated: 2026-09-11

## Four levels
1. Raw data: values read or logged directly.
2. Processed data: means, resistances, powers, densities, rates or coordinates.
3. Model: equation, parameters and assumptions.
4. Evaluation: residuals, uncertainty, limitations and improvements.

## Central formulas
Vcylinder = πr²h
Vsphere = 4πr³/3
ρ = m/V
dy/dt ≈ (yi+1 - yi)/(ti+1 - ti)
E = ∫ P(t) dt
E ≈ Σ[(Pk + Pk+1)/2] * (tk+1 - tk)
m = aS + b
m = aS² + bS + c
ΔR/R ≈ sqrt[(ΔU/U)² + (ΔI/I)²]
ΔP/P ≈ sqrt[(ΔU/U)² + (ΔI/I)²]

## Quality features
- A precise mathematical research question.
- Derivation of the target quantity from raw data.
- A systematically varied independent variable and repetitions.
- Often about 8 to 15 levels with repeats.
- Compare at least two plausible models.
- Analyse residuals, outliers, resolution and systematic error.
- Interpret model parameters mathematically.
- Explain where and why the model fails.