Question

The following table provides data for life expectancy for Batiki Island.

a. Check students' understanding of the tables with questions like:
 In 1900 to what age did women expect to live?
 Was there any year in which life expectancy decreased?
 Why do you think there is no data for the years 1940 and 1945?
 Comparing just the years 1890 and 1990, has the difference between the life
expectancies of men and women decreased or increased?
 In what years was the difference between the life expectancy of men and
women six years?
 At what rate was the life expectancy of women increasing between 1890 and
1900? Between 1985 and 1995?

b. Let the students display the data sets graphically.
 Women in 1900 had more children than today and it was common for quite a
number of them to die at a young age. Why?
 List some reasons why men and women's life expectancy is increasing.
 Give a mathematical description of the trends in life expectancy shown by the
data display.
 Does the display suggest an upper limit for life expectancy?
 Why can the current trend not continue?
 How would you expect the life expectancy graphs to look when they are
compiled in the year 3000?

1. The following table provides data for life expectancy for Batiki Island. Year 1890 1895 1900 1905 1910 1915 1920 1925 1930 1935 1940 MLE# 54.4 55.3 57.4 58.1 59.2 61.0 62.8 64.0 65.0 65.5 WLE## 57.3 58.1 60.0 60.6 61.8 63.5 65.4 66.6 67.9 68.4 1945 1950 1955 1960 1965 1970 1975 1980 1985 1990 1995 67.2 68.2 68.4 68.2 68.6 69.0 70.4 71.1 72.9 74.3 71.3 73.0 73.8 74.3 74.6 75.4 76.4 77.1 78.7 79.6 #MLE = Men's life expectancy ##WLE = Women's life expectancy

Answer 1

a. Check students' understanding of the tables with questions like:
(i) In 1900 to what age did women expect to live?

Ans : 78.7 Years

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(ii) Was there any year in which life expectancy decreased?

Ans : Yes for males it decreases in 1960 to 1965 from 68.4 to 68.2

But for females it does not decreases.

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(iii)Why do you think there is no data for the years 1940 and 1945?

Ans: Due to world war 2 There was no census recorded and data interepreted.

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(iv) Comparing just the years 1890 and 1990, has the difference between the life
expectancies of men and women decreased or increased?

Ans : Yes the life expectancies of males and females increases from 1890 to 1990. The males life expectancies increases from 54.4 to 72.9and females's life expectancy increases from 57.3 to 78.7

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(v) In what years was the difference between the life expectancy of men and
women six years?

Ans: For 3 years the differwnce between Males and females is life expectancies is 6 years.

1970 : 68.6 for males 74.6 for females

1980 : 70.4 for males 76.4 for females

1985 : 71.1 for males 77.1 for females

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