Clinical BMI Uncertainty Calculator

Calculate body mass index with metric inputs while propagating measurement uncertainty and reporting the WHO weight-status classification.

Enter the measured weight in kilograms.
Enter standing height in centimeters.
Optional: absolute standard uncertainty of the scale reading.
Optional: absolute standard uncertainty of the stadiometer reading.

Educational tool; not a substitute for professional medical judgment.

Examples

  • 68.5 kg, 172 cm, ±0.2 kg, ±0.5 cm ⇒ BMI: 23.14 kg/m² (±0.12 kg/m²). Classification: Normal weight.
  • 104 kg, 165 cm ⇒ BMI: 38.22 kg/m². Classification: Obesity.

FAQ

What does the uncertainty output represent?

It is the combined standard uncertainty calculated via root-sum-of-squares propagation from the weight and height measurements.

Can I enter imperial units?

Convert pounds to kilograms by dividing by 2.20462 and inches to centimeters by multiplying by 2.54 before entering the values.

How should I round BMI for medical records?

Round BMI to one or two decimals depending on institutional policy; this tool reports two decimals for consistency before you apply local rounding rules.

What if my instruments have different uncertainty definitions?

Enter the standard uncertainty equivalent; if you only have expanded uncertainty, divide by the coverage factor (typically 2) before using the calculator.

Additional Information

  • BMI uses kilograms and meters squared; the calculator converts stature from centimeters automatically.
  • Uncertainty propagation assumes independent, normally distributed measurement errors and reports one standard deviation.
  • WHO adult classifications: underweight <18.5, normal 18.5–24.9, overweight 25.0–29.9, obesity ≥30.0.
  • If you omit uncertainty inputs, the tool reports a deterministic BMI consistent with clinical documentation.