How baby growth percentiles are calculated
A growth percentile tells you where one measurement sits among healthy babies of the same age and sex. A 6-month-old girl at the 40th percentile for weight weighs more than about 40 of every 100 girls in the reference group and less than about 60.
The reference. For children under 2, the CDC recommends the WHO Child Growth Standards. They come from the WHO Multicentre Growth Reference Study, which followed healthy, mostly breastfed babies in six countries raised in conditions that support healthy growth. The CDC publishes the WHO parameters as public-domain data files, and this calculator uses those files for weight-for-age, length-for-age and head circumference-for-age, separately for girls and boys, at every month from birth to 24 months.
The LMS method. Each month has three numbers: L (skewness), M (the median) and S (spread). A measurement X becomes a z-score with z = ((X/M)^L - 1) / (L x S), and the z-score becomes a percentile through the standard normal distribution. For an age between whole months, the calculator interpolates L, M and S linearly between the two nearest months. A value exactly at the median is the 50th percentile, and the calculator reproduces the CDC files' own 5th and 95th percentile columns.