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1997 WAEC Economics Theory The data here shows an hypothetical age distribution of the population of a town in...

Economics
WAEC 1997

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. 
 

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Explanation

(a) X = Male (2275) + Female (2725) 5000
     Y = Total - Female = 7500 - 4265 = 3235
     Z = Total - Male = 6000 - 3250 = 2750

(b) Total population:
10 and above: 4,000
11 - 14        5,000
15 - 35       2,500
36 - 64       7,500
65 & above 6,000  
Total           25,000  

(c) Females of 14 years and below = 2650 + 2725 = 5375
Males of 14 years and below = 1350 + 2275 = 3625
Difference between the population of male and female aged 14 and below = 5375 - 3625 = 1750

(d) Percentage of population aged 14 years and below:
Female aged 14 years and below plus male aged 14 years and below. 5375 + 3625 = 9000 or 4000 + 5000 = 9000
=  \(\frac{9000}{25000} \times \frac{100}{1}\)  = 36%

(e) Dependency ratio =
Population of Less than 14 years +population of more than 65 years
        population of 15 - 35 + population of 36 - 64 years
= \(\frac{9000 + 6000}{2500+7500} = \frac{15,000}{10000}\) = \(\frac{3}{2}\) = 3:2 
 


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