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Body Mass Index (BMI)

Quick screening measure of body weight relative to height, used to categorize weight status.

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BMI

Body Mass Index CalculatorBMI = mass / height²

BMI = m / h²
m = mass (kg)  ·  h = height (m)
⟹ BMIm, h
kg
m
kg/m²
Height unit:
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BMI
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BMI Category
Underweight (<18.5) Normal (18.5–24.9) Overweight (25–29.9) Obese (30–34.9) Severely Obese (≥35)
BMI vs. Massfixed height
BMI(m) for fixed h Computed point
BMI = mass (kg) / height (m)² • WHO classification

Interpretation

BMI = mass / height². Simple weight‑for‑height classification (underweight, normal, overweight, obese). Used in clinical screening for obesity‑related health risks.

BMI = mass / height²
Body Mass Index (BMI)

Variables

SymbolQuantityUnit
BMIBody mass indexkg/m2
massBody masskg
heightHeightm

What it means

Body Mass Index (BMI) is a widely used screening tool that categorises individuals based on their weight relative to height. It is calculated as mass (kg) divided by the square of height (m). While it does not directly measure body fat, it correlates with adiposity and is associated with health risks. WHO categories: underweight <18.5, normal 18.5‑24.9, overweight 25‑29.9, obesity ≥30. BMI is used in clinical practice, epidemiological studies, and public health. However, it has limitations: it may misclassify athletes or older adults. Despite this, it remains a practical first‑line measure. Understanding BMI is essential for healthcare professionals to initiate weight‑management discussions and to assess risk.

Worked example

Body Mass Index – Two Detailed Examples

Real‑World
Scenario: A 35‑year‑old man weighs 70 kg and is 1.75 m tall. He wants to calculate his BMI to assess whether his weight is within a healthy range. The doctor uses BMI as a screening tool to identify potential weight‑related health risks such as cardiovascular disease and diabetes. The man uses the result to set realistic weight‑loss goals if needed.
ParameterValue
mass (kg)70
height (m)1.75
1BMI = 70 / (1.75)² = 70 / 3.0625 = 22.86 kg/m²
Result 22.9 kg/m² ✓ Normal weight
Scenario: A 28‑year‑old woman weighs 60 kg and is 1.6 m tall. She calculates her BMI to track her health during a weight‑loss programme. The result helps her and her nutritionist evaluate progress and adjust dietary and exercise plans accordingly.
ParameterValue
mass60
height1.6
1BMI = 60 / (1.6)² = 60 / 2.56 = 23.44 kg/m²
Result 23.4 kg/m² ✓ Normal weight
Insight: BMI is a simple, widely used measure of body fat based on height and weight. However, it does not distinguish between muscle and fat and may not be accurate for athletes or the elderly.

Common mistakes

  • Units: mass in kilograms, height in metres. Using pounds and inches gives a wrong result.
  • Height squared: Divide by h², not h – a common error.
  • Interpretation: BMI is a screening tool, not a diagnostic measure – does not account for muscle mass.
  • Categories: Underweight <18.5, normal 18.5‑24.9, overweight 25‑29.9, obese ≥30.
  • Children: Use age‑ and sex‑specific percentiles, not adult cut‑offs.

Applications

Body Mass Index (BMI) is a simple anthropometric index that classifies individuals into underweight, normal weight, overweight, or obesity categories based on weight and height. Despite its limitations (it does not distinguish between muscle and fat), it is widely used in clinical practice, public health, and epidemiological research. Healthcare professionals use BMI to screen for weight‑related health risks, to guide counselling, and to monitor population health trends. Public health agencies use it for surveillance and to evaluate intervention programmes. By calculating BMI, clinicians can identify patients at risk for cardiovascular disease, diabetes, and other metabolic conditions. Understanding BMI is essential for promoting healthy lifestyles and for designing effective public health strategies.

  • Clinical screening for obesity and underweight
  • Risk assessment for metabolic and cardiovascular diseases
  • Public health surveillance and epidemiological studies
  • Guidance for dietary and exercise interventions
  • Entry criteria in clinical trials and research

Frequently Asked Questions

Q01What is the Body Mass Index (BMI) formula used for?
A01

BMI is a quick screening tool that categorises body weight relative to height using BMI = mass (kg) / height² (m²). It is used to classify underweight, normal weight, overweight, and obesity.

Q02What are the standard BMI categories?
A02

  • Underweight: < 18.5
  • Normal weight: 18.5 – 24.9
  • Overweight: 25 – 29.9
  • Obesity: ≥ 30

Q03What are the units for mass and height in BMI?
A03

Mass in kilograms (kg) and height in metres (m). Using pounds and inches requires a conversion factor (703).

Q04What are the limitations of BMI?
A04

BMI does not distinguish between muscle mass and fat mass, so athletes may have a high BMI but low body fat. It also does not account for fat distribution.

Q05How do you calculate BMI in imperial units?
A05

BMI = (weight in lb × 703) / (height in inches)².

Q06Give a worked example of BMI calculation.
A06

A person weighs 70 kg and is 1.75 m tall. BMI = 70 / (1.75)² = 70 / 3.0625 ≈ 22.86 (normal weight).

Q07What is the relationship between BMI and health risk?
A07

Higher BMI (especially ≥ 30) is associated with increased risk of cardiovascular disease, diabetes, and certain cancers.

Q08Is BMI equally accurate for all ages and sexes?
A08

No, BMI cut‑offs are less accurate for elderly (muscle loss) and children (age‑ and sex‑specific percentiles are used).

Q09What is the difference between BMI and body fat percentage?
A09

BMI is a simple height‑weight ratio; body fat percentage directly measures the proportion of fat mass, which is a better health indicator.

Q10What are common mistakes when using BMI?
A10

  • Using BMI alone to diagnose health conditions.
  • Ignoring waist circumference or other risk factors.
  • Assuming BMI is accurate for all ethnicities (different cut‑offs may apply).