Question

Question 1: Whose percentage increased more from 1984 to 2014, males or females? By how much more did it increase?

Answer 1

The percentage increase are applied to the number of male and female

from the previous period.

• From 1984 to 2014, the percentage of females increased more than males.

Reasons:

Let F represent the initial number of females and let M 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;

The percentage increase of the females is more than the males by (1.191922947072 × 100 - 100) - (1.181979136872 × 100 - 100) ≈ 0.994%

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