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Reasons for Graduation
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absolute value accumulated deviations Actuarial adjusted applied arbitrary constants average base line binomial series calculated Colog column correction corresponding departure derived determined difference equation difference-equation method differential equal expected deaths exposed to risk expression force of mortality fourth difference frequency curve frequency distributions function give graduated series graduated table graduated values GRADUATION BY MATHEMATICAL graduation formula graphic method INTERPOLATION METHODs intervals irregularities Karl Pearson limits logg mathematical formula mean value method of graduation method of moments minimum moments mortality experience mortality table negative number exposed number of deaths obtained ordinates original data point of inflection rates of mortality ratio reduced reproduced result second difference series squares standard deviation statistics Stirling's approximate summation formula summation graduation summation method third differences tion total number Type IIa ungraduated values unit intervals value of log values of q vanish variable weight zero