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Quetelet's Index

Quetelet's Index, more commonly known as the body mass index (BMI), is a measure of weight relative to height. Originally developed by 19th-century mathematician Lambert Adolphe Jacques Quetelet, it is a standard measurement that is widely used by health professionals and researchers as an index of body fat. The formula used to calculate this index is weight (in kilograms) divided by height (in meters squared). Height in meters can be calculated by dividing height in centimeters by 100. For example, a person who weighs 71 kilograms and is 165 centimeters tall has a BMI of 26 [(71 kg)/(1.65 m)2 = 26]. Alternatively, BMI can be calculated by dividing weight (in pounds) by height (in inches squared) multiplied by a conversion factor of 703. For example, a person who weighs 145 pounds and is 65 inches (or 5′ 5″) tall has a BMI of 24 {[(145 lbs.)/(65 in.)2] × 703 = 24}.

Although the body mass index is not a direct measure of adiposity (body fat), it is correlated with direct measures of body fat, such as dual energy x-ray absorptiometry and underwater (hydrostatic) weighing. The advantages of using BMI as a proxy for adiposity are that it is inexpensive, it is easy to obtain, it does not require extensive training, and it is simple to calculate relative to other methods.

Interpretation for Adults

BMI is often used to classify overweight and obesity, but can be interpreted for the entire weight spectrum. Typically, a person is considered underweight if he or she has a BMI of 18.5 or less and normal weight between 18.5 and 24.9. A BMI of 25.0 to 29.9 is classified as overweight, and 30 or above is considered obese. The obese category can be further subdivided into Class I obesity (30.0 to 34.9), Class II obesity (35.0 to 39.9), and Class III or extreme obesity (40 or above). Recent estimates suggest that two thirds of the U.S. adult population are classified as overweight according to these categories, and nearly one third are obese.

Interpretation for Children and Adolescents

Although the calculation for BMI is the same for adults and children, the interpretation differs. For adults (aged 20 years and older), BMI is interpreted the same for both men and women using the categories listed above. However, for children and adolescents (aged 2 through 19 years), the interpretation is based on age- and sex-specific percentiles, which reflects the fact that adiposity changes with age and differs among boys and girls. Therefore, it is not appropriate to use the BMI categories for adults to interpret BMI and determine the weight category for children and adolescents. BMI can be used to identify children and adolescents who are either currently overweight or at risk of becoming overweight, based on BMI-for-age growth charts provided by the Centers for Disease Control and Prevention. After obtaining the BMI using the method described above, this number is plotted on the BMI-for-age growth charts for the appropriate sex to yield a percentile ranking, which indicates how the child's BMI compares to children of the same age and sex. Although children are usually not classified as obese, the current recommendation is that BMI values that meet or exceed the 95th percentile of the BMI growth charts for their age and sex should be categorized as overweight, and those who are in the 85th percentile to the 95th percentile are classified as at risk of overweight. These growth curves are J-shaped and were constructed to identify BMI scores that show a trajectory toward overweight (BMI ≥25) or obesity (BMI ≥30) in adulthood. Childhood overweight is of particular concern because research suggests that it frequently tracks into adulthood, with the vast majority of obese adolescents going on to become obese adults.

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