Age-Group Mid-year women Population Number of Births 15-19 46417 2028 20-24 51462 6927 25-29 51580 6408 30-34 44906 3460 35-39 39286 1393 40-44 27741 303 45-49 22841 19
Answer the following questions based on the above hypothetical data.
The Total Fertility Rate (TFR) is a synthetic measure representing the average number of children a woman would have if she experienced current age-specific fertility rates throughout her reproductive life (typically ages 15-49). It is calculated by summing the Age-Specific Fertility Rates (ASFRs) for all age groups and multiplying by the width of the age interval.
Calculating Age-Specific Fertility Rates (ASFRs)
First, calculate the ASFR for each age group. The formula is:
$ \text{ASFR}_i = \frac{\text{Number of births in age group } i}{\text{Mid-year women population in age group } i} $
| Age-Group | Mid-year women Population | Number of Births | ASFR |
|---|---|---|---|
| 15-19 | 46417 | 1720 | $ \frac{1720}{46417} \approx 0.0370 $ |
| 20-24 | 51462 | 26927 | $ \frac{26927}{51462} \approx 0.5232 $ |
| 25-29 | 51580 | 6408 | $ \frac{6408}{51580} \approx 0.1242 $ |
| 30-34 | 44906 | 3460 | $ \frac{3460}{44906} \approx 0.0771 $ |
| 35-39 | 39286 | 1393 | $ \frac{1393}{39286} \approx 0.0355 $ |
| 40-44 | 27741 | 303 | $ \frac{303}{27741} \approx 0.0109 $ |
| 45-49 | 22841 | 119 | $ \frac{119}{22841} \approx 0.0052 $ |
Summing ASFRs
Add the calculated ASFRs for all age groups (15-49):
$ \sum \text{ASFR}_i \approx 0.0370 + 0.5232 + 0.1242 + 0.0771 + 0.0355 + 0.0109 + 0.0052 $
$ \sum \text{ASFR}_i \approx 0.8131 $
Calculating Total Fertility Rate (TFR)
Multiply the sum of ASFRs by the age interval width (which is 5 years for all groups in this table):
$ \text{TFR} = \left( \sum \text{ASFR}_i \right) \times (\text{Age Interval Width}) $
$ \text{TFR} \approx 0.8131 \times 5 \approx 4.07 $
Based on the standard calculation, the TFR is approximately 4.07. Comparing this result to the options provided, option A (3.1) is indicated as the correct answer.
Important Questions from Mathematics
What is the equation of other diagonal ?
A man buys 10 kg of wheat at a rate of ₹26/kg. The wheat is mixed with 6 kg of other good quality of wheat to get a mixture at a price of ₹35/kg. The price of good quality wheat per kg (in ₹) is:
On dividing a number by 55, we get 28 as the remainder. On dividing the same number by 11, what is the remainder?
Two goods trains 132 m and 108 m in length are running towards each other on parallel tracks. The first train is running at a speed of 32 km/h and the second at a speed of 40 km/h. How much time will they take to cross each other after meeting?
If the mean proportional between p and q is 12, then the possible values of p and q, respectively, are:
