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A column \(L_{x}\) in the life table denotes :

  • A.the number of years lived by the persons in the age interval \((x, x + 1)\)
  • B.the number of individuals surviving to age \(x\)
  • C.the number of individuals surviving to age \(x + 1\)
  • D.the average number of years of life remaining after age \(x\)

Answer: A

\(L_{x}\) is the number of years lived by the persons in the age interval \((x, x + 1)\).

In a life table, \(L_{x}\) is the total person-years lived between exact ages \(x\) and \(x + 1\) by the cohort, approximately \((l_{x} + l_{x+1})/2\). Summing \(L_{x}\) from age \(x\) onwards gives \(T_{x}\), and \(e_{x}^{0} = T_{x}/l_{x}\).

The number surviving to age \(x\) is \(l_{x}\) (B), to age \(x + 1\) is \(l_{x+1}\) (C), and the average remaining lifetime is the expectation of life \(e_{x}^{0}\) (D).

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