Baby Percentile Calculator — Weight & Height for Age
Find your child's WHO/CDC growth percentile for weight-for-age or height/length-for-age using the official LMS method. Boys and girls, 0-20 years.
Calculated using the LMS (Box-Cox power-exponential) method: Z = ((measurement/M)^L − 1) / (L×S) when L≠0, or Z = ln(measurement/M)/S when L=0, then converted to a percentile with the standard normal cumulative distribution function. Ages under 24 months use WHO Child Growth Standards (as distributed by the CDC for US clinical use); ages 2-20 years use the CDC 2000 Growth Charts. L/M/S values are looked up from a monthly (0-24mo) or yearly (2-20yr) reference grid and linearly interpolated for ages that fall between grid points. This tool is for general reference only and does not replace a pediatrician's clinical growth assessment — premature infants should be tracked using corrected (adjusted) age, and any single percentile reading matters far less than the overall trend across multiple visits.
Worked Examples
3-Month-Old Girl, 5.5 kg
- Sex
- Girl
- Age
- 3 months
- Metric
- Weight-for-age
- Measurement
- 5.5 kg
At 3 months the WHO LMS values for girls are L=0.818, M=5.545, S=0.125. Z = ((5.5/5.545)^0.818 - 1) / (0.818 x 0.125) = -0.07, which converts to the 47th percentile — squarely in the typical range, meaning her weight is almost exactly the median for 3-month-old girls.
24-Month-Old Girl, 15.0 kg
- Sex
- Girl
- Age
- 24 months
- Metric
- Weight-for-age
- Measurement
- 15.0 kg
At 24 months the LMS values for girls are L=-0.735, M=12.055, S=0.107. Z = ((15.0/12.055)^-0.735 - 1) / (-0.735 x 0.107) = 1.88, which lands right at the 97th percentile — the upper edge of the typical range. Worth mentioning at the next well-child visit, but a single high reading isn't a diagnosis on its own.
9-Year-Old Boy, 135 cm Tall
- Sex
- Boy
- Age
- 9 years
- Metric
- Height-for-age
- Measurement
- 135 cm
At 9 years the CDC LMS values for boys are L=0.413, M=133.51, S=0.046. Z = ((135/133.51)^0.413 - 1) / (0.413 x 0.046) = 0.24, which converts to the 60th percentile — taller than average but comfortably inside the typical range.
6-Month-Old Girl, 63 cm Long
- Sex
- Girl
- Age
- 6 months
- Metric
- Height/length-for-age
- Measurement
- 63 cm
At 6 months the WHO LMS values for girls are L=1.331, M=65.26, S=0.040. Z = ((63/65.26)^1.331 - 1) / (1.331 x 0.040) = -0.87, which converts to the 19th percentile — on the shorter side but still well within the normal 3rd-97th percentile band.
2-Month-Old Boy, 3.5 kg
- Sex
- Boy
- Age
- 2 months
- Metric
- Weight-for-age
- Measurement
- 3.5 kg
At 2 months the WHO LMS values for boys are L=0.882, M=5.276, S=0.133. Z = ((3.5/5.276)^0.882 - 1) / (0.882 x 0.133) = -2.59, which converts to the 0.5th percentile — below the 3rd percentile cutoff. This calls for a conversation with a pediatrician, especially to rule out prematurity (which needs corrected age) before assuming a growth concern.
How to Use This Calculator
- 1
Choose sex and metric
Select boy or girl, then weight-for-age or height/length-for-age — the two use separate growth curves.
- 2
Enter age
Type the child's exact age in months or years. Use corrected age instead of birth age for infants born premature.
- 3
Enter the measurement
Weight in kg or lb, or height/length in cm or inches. Use recumbent length for children under 2, standing height for 2 and up, matching how the reference data was measured.
- 4
Read the percentile and Z-score
The result shows the percentile, the underlying Z-score, and a plain-English comparison to same-age, same-sex children.
What Each Value Means
- Percentile (percent)
- The percentage of same-age, same-sex children in the reference population with a lower measurement than the child being evaluated.
- Z-score (standard deviations)
- The number of standard deviations a measurement sits from the reference median for that exact age and sex, calculated directly from the LMS parameters before being converted into a percentile.
- LMS parameters (L / M / S)
- Three age-specific values — L (skewness/Box-Cox power), M (median), and S (coefficient of variation) — published by WHO and CDC that together describe the full growth distribution at a given age, allowing any raw measurement to be converted to a percentile.