Population Ratios 7D63A1
1. **Problem Statement:**
Calculate the following from the given population data:
- Sex ratio of the 60 to 64 age group
- Median age
- Age-dependency ratio
2. **Sex Ratio Formula:**
Sex ratio is defined as the number of males per 100 females in a given age group.
$$\text{Sex Ratio} = \frac{\text{Number of Males}}{\text{Number of Females}} \times 100$$
3. **Calculate Sex Ratio for 60 to 64 age group:**
From the table:
- Males = 1,409,506
- Females = 1,302,945
$$\text{Sex Ratio} = \frac{1,409,506}{1,302,945} \times 100 \approx 108$$
4. **Median Age Calculation:**
The median age is the age that divides the population into two equal halves.
- Total population = sum of all males and females across all age groups.
- Calculate cumulative population by age groups until reaching half of total population.
Total population = 2090546+1996077+4987924+4970789+4870123+5098356+4798838+4690812+6090634+5809687+7903049+7609435+6094032+5906934+5902935+6403954+5039505+4902930+4090596+3909596+2039495+1902934+1503954+1703945+1409506+1302945+920948+1120394+892848+913029+239405+392032+190293+210293 = 102,927,263
Half population = 51,463,632
Cumulative sums by age group (males + females):
- 0 to 4: 4,085,623
- 5 to 9: 9,066,713
- 10 to 14: 14,938,579
- 15 to 19: 20,306,450
- 20 to 24: 27,176,008
- 25 to 29: 42,488,492
- 30 to 34: 53,388,458 (exceeds half)
Median age lies in 30 to 34 age group.
5. **Age-Dependency Ratio Formula:**
Age-dependency ratio is the ratio of dependents (people younger than 15 or older than 64) to the working-age population (15 to 64 years).
$$\text{Age-Dependency Ratio} = \frac{\text{Population under 15} + \text{Population 65 and over}}{\text{Population 15 to 64}} \times 100$$
Calculate populations:
- Under 15 (0-4, 5-9, 10-14):
Males = 2,090,546 + 4,987,924 + 4,870,123 = 11,948,593
Females = 1,996,077 + 4,970,789 + 5,098,356 = 12,065,222
Total under 15 = 24,013,815
- 65 and over (65-69, 70-74, 75-79, 80+):
Males = 920,948 + 892,848 + 239,405 + 190,293 = 2,243,494
Females = 1,120,394 + 913,029 + 392,032 + 210,293 = 2,635,748
Total 65+ = 4,879,242
- 15 to 64 (total population - under 15 - 65+):
102,927,263 - 24,013,815 - 4,879,242 = 74,034,206
Calculate ratio:
$$\text{Age-Dependency Ratio} = \frac{24,013,815 + 4,879,242}{74,034,206} \times 100 \approx 38$$
**Final answers:**
- Sex ratio (60 to 64) = 108
- Median age group = 30 to 34
- Age-dependency ratio = 38