Using the equation above, we calculate that the 5th percentile is 7.90 kg. For the 5th percentile, we would use Z=-1.645. Z is the z-score that corresponds to the percentile. Where the L, M, and S are the values from the appropriate table corresponding to the age in months of the child (** indicates an exponent, such that M(1+LSZ)**(1/L) means raising (1+LSZ) to the (1/L)th power and then multiplying the M exp(X) is the exponentiation function, e to the power X). To obtain the value (X) of a given physical measurement at a particular z-score or percentile, use the following equation: The LMS parameters are the median (M), the generalized coefficient of variation (S), and the power in the Box-Cox transformation (L). To obtain L, M, and S values at finer age or length/stature intervals interpolation could be used. The only exception is birth, which represents the point at birth. Age is listed at the half month point for the entire month for example, 1.5 months represents 1.0-1.99 months or 1.0 month up to but not including 2.0 months of age. The smoothed 85th percentile values are included in the BMI-for-age and weight-for-stature tables. These files contain the L, M, and S parameters needed to generate exact percentiles and z-scores along with the percentile values for the 3rd, 5th, 10th, 25th, 50th, 75th, 90th, 95th, and 97th percentiles by sex (1=male 2=female) and single month of age.
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