Skip to main content icon/video/no-internet

Life expectancy for any given age may be defined as the average number of additional years of life persons of that age may expect to live, under the condition that the schedule of age-specific mortality rates prevails. Life expectancy is most frequently calculated and reported for persons at birth, that is, at age 0, but, as is shown in this entry, may be calculated for persons of any age. Information on the life expectancy for persons of a given age indicates how many years of life, on average, persons may expect to live if, during their lifetimes, they are subjected to the prevailing agespecific probabilities of dying.

Life Expectancy and the Life Table

Life expectancy is calculated via the life table, a mathematical table that presents the mortality experiences of a population. The life table dates to John Graunt (1620–1674). The life table starts with a population (a radix) of 100,000 at age 0; from each age to the next, the population is decremented according to age-specific mortality probabilities, until all members have died; the mortality schedule is fixed and does not change over the life of the population.

Table 1 is an abridged life table for U.S. females in the year of 2005, developed by the World Health Organization. Given the very different agespecific death rates and, therefore, age-specific probabilities of dying for females and males, life tables are usually calculated separately for the two groups. Eight columns are shown in the table.

Column 1 refers to the age intervals of each group. The entries refer to the range of years between two birthdays. For example, the age group 5–9 refers to the 5-year interval between the 5th and the 10th birthdays.

Column 2 reports for each age group the agespecific death rates, designated as nMx. These are the only empirical data needed to build a life table.

Column 3 reports for each age group the probabilities of dying, designated as nqx. This is the most basic column of the life table; the probabilities are derived from the death rates in column 2. The column 3 data are the probabilities that persons who are alive at the beginning of an age interval will die during that age interval, before they reach the start of the next age interval.

Column 4 presents data on the number of people alive at the beginning of the age interval, designated as lx. This column of data is calculated by subtracting the ndx value (column 5) from the lx value in the age interval immediately preceding the one being calculated.

Column 5 shows the number of people who die during a particular age interval, designated as ndx, and is determined by multiplying lx by nqx.

Column 6 reports for each age interval the total number of years lived by all persons who enter that age interval while in the age interval. The nLx values are roughly given by the formula, nLx = (1x − 1/2 ndx (n).

Column 7 reports the total number of years lived by the population in that age interval and in all subsequent age intervals, and is designated as Tx. To determine the values of Tx for each age interval, one sums the nLx from the oldest age backward.

...

  • Loading...
locked icon

Sign in to access this content

Get a 30 day FREE TRIAL

  • Watch videos from a variety of sources bringing classroom topics to life
  • Read modern, diverse business cases
  • Explore hundreds of books and reference titles

Sage Recommends

We found other relevant content for you on other Sage platforms.

Loading