Q.Body Mass Index is calculated as:
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BMI = (weight in kg)/((height in metres)²), measured in kg/m². Height must be in metres and must be squared; the weight is divided by it, not multiplied.
The idea behind the formula
Body Mass Index answers a simple question: is this person's mass reasonable for their size? Ninety kilograms means something very different on a 1.5 m frame than on a 2.0 m frame. So mass has to be scaled by size — and body mass grows roughly with the square of height across adults, which is why the denominator is h² and not h or h³.
BMI = (weight (kg))/([height (m)]²) (kg/m²)
- weight — body mass in kilograms.
- height — in metres (so 165 cm becomes 1.65 m), then squared.
- BMI — a pure ratio reported in kg/m², to one decimal place.
Working it once
Take a student weighing 60 kg and standing 1.6 m tall:
- Square the height: 1.6² = 2.56 m².
- Divide the weight by it: 60/2.56 = 23.4 kg/m².
- Read the band: 23.4 lies in 18.5–24.9 → Normal on the WHO adult classification.
Reading the result
WHO international adult classification
| BMI (kg/m²) | Category |
|---|---|
| Below 18.5 | Underweight |
| 18.5 – 24.9 | Normal |
| 25.0 – 29.9 | Overweight |
| 30.0 and above | Obese |
The Asian/Indian (ICMR) cut-offs are stricter — overweight from 23.0 and obese from 25.0. Always say which scale you are applying; the same 23.4 above is Normal on the WHO scale but Overweight on the ICMR one.
Why the other options fail
- (a) Weight × Height² — multiplying makes the number grow with height, so a tall, lean athlete would score higher than a short, heavy one. The index would reward exactly the wrong thing.
- (c) Height² / Weight — the reciprocal of the correct formula. A heavier person would get a smaller number, inverting every band.
- (d) Weight / Height (cm) — two errors: height is not squared, and it is in centimetres. Our 60 kg, 160 cm student would score 60/160 = 0.375, a number that sits on no scale at all. …
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