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Worked Examples
- 1.Weight: 68 kg
- 2.Height: 175 cm = 1.75 m
- 3.BMI = weight / height^2 = 68 / (1.75)^2
- 4.BMI = 68 / 3.0625 = 22.2
BMI is 22.2, which falls in the Normal weight category (18.5-24.9). This indicates a healthy weight for this height.
Understanding Body Mass Index (BMI)
Formula
Body Mass Index (BMI) is a widely used screening tool that estimates body fat based on a person's weight and height. Developed by Belgian mathematician Adolphe Quetelet in the 1830s, BMI provides a simple numeric value that helps classify individuals into weight categories: underweight, normal weight, overweight, and obese. Healthcare providers around the world use BMI as an initial assessment to identify potential weight-related health issues and guide further evaluation.
The BMI formula divides weight in kilograms by the square of height in meters: BMI = weight / height squared. For example, a person weighing 70 kg at 170 cm tall has a BMI of 70 / (1.70)^2 = 24.2, which falls in the normal weight range. A BMI below 18.5 indicates underweight, 18.5 to 24.9 is normal, 25 to 29.9 is overweight, and 30 or above indicates obesity. These thresholds are defined by the World Health Organization and used globally.
While BMI is a useful starting point, it has important limitations. It does not distinguish between muscle mass and fat mass, so highly muscular individuals may have elevated BMI scores without excess fat. It also does not account for fat distribution — visceral fat around the abdomen poses greater health risks than subcutaneous fat elsewhere. Age, sex, and ethnicity can also influence the relationship between BMI and health risk. For a more complete assessment, BMI should be considered alongside waist circumference, body composition measurements, and overall health markers.
Despite these limitations, BMI remains valuable as a population-level screening tool and a personal health indicator. If your BMI falls outside the normal range, it is worth discussing with a healthcare provider who can assess your individual situation. Maintaining a healthy BMI through balanced nutrition and regular physical activity is associated with lower risks of heart disease, type 2 diabetes, certain cancers, and other chronic conditions.
Common use cases:
- Personal health screening
- Weight management tracking
- Medical and clinical assessments
- Fitness and wellness planning
Frequently Asked Questions
Maria Gonzalez
Registered Dietitian, RD, MPH
Maria is a Registered Dietitian with a Master's in Public Health. She focuses on evidence-based nutrition assessment tools including BMI, calorie calculations, and body composition analysis.
Reviewed by Dr. David Park, Applied Mathematician, PhD Mathematics
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