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# Growth Chart Calculator

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CDC growth chart data files is the source to produce the well known 2000 CDC Growth Chart for United States. These files contain the L, M, and S parameters needed to generate exact percentiles and z-scores along with the percentile values. The LMS parameters are the median (M), the generalized coefficient of variation (S), and the power in the Box-Cox transformation (L). To calculate the value (X) of a given physical measurement at a particular z-score or percentile, use the following equation: $X = M(1+LSZ)^{\frac{1}{L}}\ if\ \ L \neq 0$ $X = M e^{SZ}\ if \ \ L = 0$ For a given mreasurement(X), we can use the following formula to calcualte the z-score(Z) and then we can use the standard normal distribution function to find the percentile from the z-score: $Z = \frac{(\frac{X}{M})^L - 1}{LS} \ if \ L \neq 0$ $Z = \frac{ln(\frac{X}{M})}{S} \ \ if L = 0$