Pediatric BMI Percentile Calculator Formula

Understand the math behind the pediatric bmi percentile calculator. Each variable explained with a worked example.

Formulas Used

BMI

bmi = (weight_lbs * 703) / (height_inches * height_inches)

BMI Prime (vs 85th percentile)

bmi_prime = (weight_lbs * 703) / (height_inches * height_inches) / (14 + age * 0.5)

Variables

VariableDescriptionDefault
weight_lbsWeight(lbs)70
height_inchesHeight(inches)54
ageAge(years)10

How It Works

Pediatric BMI

For children aged 2-19, BMI is calculated the same as adults but interpreted differently using age- and sex-specific percentile charts.

BMI = (Weight in lbs x 703) / (Height in inches)^2

Weight Status Categories

| Percentile | Category | |---|---| | <5th | Underweight | | 5th-84th | Healthy weight | | 85th-94th | Overweight | | 95th+ | Obese |

Note: This calculator computes BMI. For exact percentile, use CDC growth charts with the child's age and sex.

Worked Example

A 10-year-old weighing 70 lbs, 54 inches tall.

weight_lbs = 70height_inches = 54age = 10
  1. 01BMI = (70 x 703) / (54 x 54)
  2. 02= 49,210 / 2,916
  3. 03= 16.9