Question

2 base your answer on the chart below.
figure3 distribution of ofws by age group and sex: 2017

source philippine statistics authority. 2017 survey on overseas filipinos
note: reference period is april to september 2017

a approximately what percent of male ofws is 35 years old and
above?
b approximately what percent of female ofws are below 35 years
old?
c in what age range is the difference in the number of male and
female ofws the greatest? what is the approximate difference?

Explanation:

Step1: Analyze part a

For male OFWs 35 years old and above, we sum the percentages of the 35 - 39, 40 - 44, and 45 and over age groups. Assume the percentages for 35 - 39 (male) is \(m_1\approx22\), for 40 - 44 (male) is \(m_2\approx22\), and for 45 and over (male) is \(m_3\approx29\). Then the sum is \(m = m_1 + m_2+m_3=22 + 22+29 = 73\).

Step2: Analyze part b

For female OFWs below 35 years old, we sum the percentages of the 15 - 24, 25 - 29, and 30 - 34 age groups. Assume the percentages for 15 - 24 (female) is \(f_1\approx0\), for 25 - 29 (female) is \(f_2\approx15\), and for 30 - 34 (female) is \(f_3\approx15\). Then the sum is \(f=f_1 + f_2 + f_3=0+15 + 15=30\).

Step3: Analyze part c

We calculate the difference between male and female percentages for each age group.

• For 15 - 24: \(d_1=\vert5 - 0\vert = 5\)
• For 25 - 29: \(d_2=\vert17 - 15\vert=2\)
• For 30 - 34: \(d_3=\vert22 - 15\vert = 7\)
• For 35 - 39: \(d_4=\vert22 - 15\vert=7\)
• For 40 - 44: \(d_5=\vert22 - 15\vert=7\)
• For 45 and over: \(d_6=\vert29 - 15\vert = 14\)

Answer:

a. Approximately \(73\%\)
b. Approximately \(30\%\)
c. The age range is \(45\) and over, and the approximate difference is \(14\%\)