Question 1 Report
The data here shows an hypothetical age distribution of the population of a town in Nigeria.
| Sex | Age in years | ||||
| 10 and below | 11-14 | 15-3 | 36 - 64 | 65 and above | |
| Male | 1350 | 2275 | 1135 | Y | 3250 |
| Female | 2650 | 2725 | 1365 | 4265 | Z |
| Total | 4000 | X | 2500 | 7500 | 6000 |
From this data, calculate:
(a) X, Y, Z.
(b) The total population of the town.
(c) The difference be-tween the population of male and female aged 14 and below.
(d) The percentage of the population aged 14 and below.
(e) The dependency ratio in the town.
Each column must add up to its total, so the missing figures are found by subtraction.
(a)
\(X=\) the 11-14 total \(=2{,}275+2{,}725=5{,}000\).
\(Y=\) males aged 36-64 \(=7{,}500-4{,}265=3{,}235\).
\(Z=\) females aged 65 and above \(=6{,}000-3{,}250=2{,}750\).
| Sex | 10 and below | 11-14 | 15-35 | 36-64 | 65 and above |
|---|---|---|---|---|---|
| Male | 1,350 | 2,275 | 1,135 | 3,235 | 3,250 |
| Female | 2,650 | 2,725 | 1,365 | 4,265 | 2,750 |
| Total | 4,000 | 5,000 | 2,500 | 7,500 | 6,000 |
(b) Total population \(=4{,}000+5{,}000+2{,}500+7{,}500+6{,}000=25{,}000\).
(c) Aged 14 and below: males \(=1{,}350+2{,}275=3{,}625\); females \(=2{,}650+2{,}725=5{,}375\). Difference \(=5{,}375-3{,}625=1{,}750\) (there are 1,750 more females).
(d) Percentage aged 14 and below \(=\dfrac{3{,}625+5{,}375}{25{,}000}\times100=\dfrac{9{,}000}{25{,}000}\times100=36\%\).
(e) Dependants are those aged 14 and below (9,000) and 65 and above (6,000), a total of 15,000; the working group (15-64) is \(2{,}500+7{,}500=10{,}000\). Dependency ratio \(=\dfrac{15{,}000}{10{,}000}=1.5\) (that is 150%, or 3 dependants to every 2 workers).
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