There are several combinations of sex, age, height, weight, and BMI values that will result in inconsistent BMI and CDC Percentile descriptions. This is normal. These inconsistencies are common in the lower age ranges.
1. BMI uses a well defined and established formula:
Metric: Weight in Kilograms / Height in Centimeters / Height in Centimeters * 10000
or
English: Weight in Pounds / Height in Inches / Height in Inches * 703
2. CDC BMI values their descriptions are based on a series of percentile curves that illustrate the distribution of selected body measurements in children.
As an example:
Sex: Male
Age: 6 years old
Height: 48 inches
Weight: 60 pounds
Results in:
BMI Description: Underweight
CDC BMI Description: Obese
References:
http://www.cdc.gov/growthcharts/who_charts.htm
http://www.cdc.gov/growthcharts/percentile_data_files.htm
http://www.cdc.gov/growthcharts/who_charts.htm
http://www.cdc.gov/growthcharts/percentile_data_files.htm
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