Is BMI a good measure?: a maths EPQ idea
A title to start from
Is body mass index a sound measure, mathematically speaking?
Why it works as an EPQ
BMI divides by height squared; scaling arguments and data let you judge that choice.
Scope and difficulty
Accessible. Accessible. Use published anonymised data, never classmates' measurements.
The maths
Builds on these A Level topics: Exponentials and logarithms · Sampling and data.
You would learn:
- Scaling and allometry
- Log–log regression
- Alternative indices
One possible plan
- Explain why mass might scale with height to some power.
- Estimate the power from published data with a log–log graph.
- Compare BMI with an alternative index.
- Judge what BMI is and is not useful for.
Pitfalls
- Collecting body data from classmates.
- Health advice.
Where to start reading
- Search for: BMI height exponent 2.5 alternative
- NHS Health Survey for England data
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