Chapter 1.1, Problem 11E

Solution

a.

To find: The changes seen in the female’s percentage from the year $1960$ .

The percentage of females is increasing till $2000$ after that the percentage of females is decreasing.

Given:

The data of labor force in the form of table is

Year	Female	Male
1960	37.7	83.4
1965	39.3	80.5
1970	43.3	79.6
1975	46.3	77.2
1980	51.5	77
1985	54.5	76.1
1990	57.5	76.3
1995	58.9	74.6
2000	59.9	74.7
2005	59.3	73.2
2010	58.6	70.7

Observation:

From the table it can be seen that the percentage of females are increasing till $2000$ and after that the percentage of females is decreasing.

b.

To find: The interval in which there is maximum change.

The maximum change is between the intervals $1975-1980$ .

Given:

The data of labor force in the form of table is

Year	Female	Male
1960	37.7	83.4
1965	39.3	80.5
1970	43.3	79.6
1975	46.3	77.2
1980	51.5	77
1985	54.5	76.1
1990	57.5	76.3
1995	58.9	74.6
2000	59.9	74.7
2005	59.3	73.2
2010	58.6	70.7

Calculation:

For the year $1960-1965$ .

  $39.3-37.7=1.6$

For the year $1965-1970$ .

  $43.3-39.3=4$

For the year $1970-1975$ .

  $46.3-43.3=3$

For the year $1975-1980$ .

  $51.5-46.3=5.2$

For the year $1980-1985$ .

  $54.5-51.5=3$

For the year $1985-1990$ .

  $57.5-54.5=3$

For the year $1990-1995$ .

  $58.9-57.5=1.4$

For the year $1995-2000$ .

  $59.9-58.9=1$

For the year $2000-2005$ .

  $59.9-59.3=0.6$

For the year $2005-2010$ .

  $59.3-58.6=0.7$