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Using the birth weight frequency table with 500 g intervals and 10 classes (less than or equal to 999, 1000-1499,..., 4500-4999, 5000 less than or equal to) as a standard table (0 method) and creating 8 kinds of modified frequency tables (a,..., h method) by integrating the lower and/or upper classes in the standard table into neighboring classes, we assessed the differences of both the mean birth weights (MBW) and the standard deviations (SD) between 0 method and 8 kinds of methods (a,..., h method) from the aspect of frequencies belonging to the integrated classes. The equations expressing the differences of MBW were obtained as a function of relative frequencies belonging to the integrated classes. Although the differences of the variances can be exactly expressed as a function of three kinds of variates, namely the relative frequencies, the number of live births and MBW by the corresponding modified method (or 0 method), the differences of SD can be obtained only as approximations of the above function by adding SD by the corresponding modified method (or 0 method). Examining the degrees of approximations at the prefectural, the health center and the city-town-village levels, we were able to recognize good approximation by simple forms with the relative frequencies and SD by the corresponding modified method (or 0 method). We pointed out that these formulas were useful for transforming MBW and SD by 0 method into those by the modified methods and for assessing the differences of MBW and SD.

Theoretical Expression of the Mean Birth Weight and the Standard Deviation in Frequency Tables with Various Number of Classes