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Pivotal values osculatory interpolation
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according to age according to nearest actuarial adjustments age last birthday age next birthday age x last age-groups age-ranges ages at death apply approximation assumed assumption average basis calendar census figures census method central rate combined connexion corresponding course curtate duration deaths at age deviation distribution English Life Tables entrants and leavers experience exposed exposed-to-risk formulae friendly society George King given graduated rates graph group of lives histograms included individual ages Institute of Actuaries integral age interpolation curves January King's formula last birthday living at nearest Manchester Unity mean population mortality investigation mortality rates mortality table moving-average process nearest age number living number of deaths observed rates obtained osculatory interpolation period pivotal values policy anniversary practical purposes quinary random errors rates of mortality relevant separately sickness rates statistics subgroup successive ages tion total number total sickness usually valuation various year's exposure