Mortality data are often gathered using 5-year age groups rather than individual years of life.  Furthermore, it is common practice to use a large open-ended interval (such as 85 and over) for mortality data at the older ages.  These limitations of the data pose problems for the actuary or demographer who wishes to compile a full and accurate life table using individual years of life.  The author devises formulae which handle these problems.  He also devises methods for handling mortality during the 1st year of life and for dealing with other technical problems which arise in the compilation of the full life table from grouped data.