Understanding the weight percentile calculator for children and teens — concept and principle
This calculator compares a child's or teenager's weight with children of the same age and sex using the CDC 2000 weight-for-age chart for ages 2 to 20. It gives the percentile, z-score and the 5th, 50th and 95th percentile weights.
How it is calculated
z = ((weight ÷ M)^L − 1) ÷ (L × S)
Percentile = share of the normal distribution below z
Weight at a percentile = M × (1 + L × S × z)^(1/L)
- L, M and S come from the CDC table for the child's sex and age (taken at the middle of the month, interpolated between table ages).
The principle
Children's weights at a given age are skewed: there is a longer tail towards heavier weights. The LMS method uses the L value to transform the distribution into a normal one, so a z-score and percentile can be calculated. M is the median and S the spread. The percentile is the share of reference children of the same age and sex who weighed less.
Worked example
Default inputs: boy, 10 years 0 months, 33 kg.
- Age = 120.5 months; CDC values L = −1.207, M = 32.09 kg, S = 0.1789.
- z = ((33 ÷ 32.09)^−1.207 − 1) ÷ (−1.207 × 0.1789) = 0.15.
- Percentile = 56.1; median 32.1 kg; difference 0.9 kg.
- 5th percentile 24.9 kg, 95th 46.2 kg.
| Child’s weight (kg) | Percentile |
|---|---|
| 8.25 | 0 |
| 16.5 | 0 |
| 24.8 | 4.4 |
| 33 | 56.1 |
| 41.2 | 88.7 |
| 49.5 | 97 |
| 66 | 99.6 |
How to read the result
Weight-for-age alone does not show whether a child is under- or overweight for their height; use BMI-for-age for that. The trend over time matters more than one value: crossing major percentile lines deserves a check. For babies under 2, the WHO standards are used.
Common mistakes
- Using weight percentile to judge overweight instead of BMI-for-age.
- Weighing with shoes and heavy clothes.
- Rounding age to whole years.
Frequently asked questions
What weight percentile is normal?
Most children fall between the 5th and 95th; steady growth along a curve matters more.
Why is the 95th percentile so far above the median?
Weight distributions are skewed towards heavier values.
Should I use this or BMI?
Use BMI-for-age to judge weight relative to height.
Sources: Kuczmarski RJ et al., "2000 CDC Growth Charts for the United States: Methods and Development", Vital Health Stat 11(246), 2002