The percentage increase are applied to the number of male and female
from the previous period.
- From 1984 to 2014, <u>the percentage of females increased more than males</u>.
Reasons:
Let <em>F</em> represent the initial number of females and let <em>M</em> represent the initial number of males before 1984.
We have;
In 1984
Number of females = F × 1.026 = 1.026·F
number of males = M × 1.031 = 1.031·M
In 1994
Number of females = 1.026·F × 1.032 = 1.058832·F
Number of males = 1.031·M × 1.032 = 1.063992·M
In 2004
Number of females = 1.058832·F × 1.056 = 1.118126592·F
Number of males = 1.063992·M × 1.049 = 1.116127608·M
In 2014
Number of females = 1.118126592·F × 1.066 = 1.191922947072·F
Number of males = 1.116127608·M × 1.059 = 1.181979136872·M
Therefore, between 1984 and 2014, we have;
The percentage increase of females = 1.191922947072 × 100 - 100 ≈ 19.2%
The percentage increase of males = 1.181979136872 × 100 - 100 ≈ 18.2%
Therefore;
<u>The </u><u>percentage</u><u> </u><u>increase </u><u>of the </u><u>females </u><u>is </u><u>more than </u><u>the </u><u>males</u> by (1.191922947072 × 100 - 100) - (1.181979136872 × 100 - 100) ≈ 0.994%
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