The New BMI Formula

The "new BMI", proposed in 2013 by Oxford mathematician Nick Trefethen, is 1.3 × weight (kg) ÷ height (m)^2.5. Raising height to the power 2.5 instead of 2 gives slightly higher numbers for short people and lower ones for tall people. For 70 kg at 1.75 m, the new BMI is 22.5, almost the same as the classic BMI of 22.9. It isn't used for official categories.

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The formula

New BMI = 1.3 × weight (kg) ÷ height (m)^2.5

The 1.3 is chosen so that, for someone of average height (about 1.69 m), the new BMI matches the classic one.1

Why change the power?

Trefethen argued that people don't scale up evenly in all directions: weight grows faster than height squared but slower than height cubed. With a power of 2, short people's BMIs read a little low and tall people's a little high, so tall people may be told they're heavier than they are.1 A power of 2.5 sits in between.

Classic vs. new BMI

For people at a classic BMI of exactly 25:

Height Weight Classic BMI New BMI
150 cm 56.3 kg 25.0 26.5
165 cm 68.1 kg 25.0 25.3
180 cm 81.0 kg 25.0 24.2
195 cm 95.1 kg 25.0 23.3

The difference only matters much at the ends of the height range.

What the new BMI shows What it doesn't show
Weight for height, adjusted for very short and very tall people How much of your weight is fat and how much is muscle
Numbers close to classic BMI for average heights Where fat is stored, such as around the stomach
Whether your classic BMI may read a little high or low for your height An official category: none exist for it

Frequently asked questions

Should I use the new BMI instead?

It's interesting to compare, but doctors and guidelines use the classic BMI. If you're very tall or very short, seeing both can help you understand your number.

Does the new BMI change the categories?

No official categories exist for it. Comparing it with the classic cutoffs is approximate. The classic BMI formula.

Sources

  1. Trefethen, University of Oxford (2013) ↩ ↩

Written by

The HowToCalculateBMI.org team

We explain BMI in plain language, check every worked example with automated tests, and keep each page up to date with current guidelines.

Kept up to dateLast updated October 9, 2026
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This page is for education and is not medical advice. Talk with a healthcare professional about your weight and health.