Question
In: Statistics and Probability
The data in the following table are for a country: Age of a woman Female population...
The data in the following table are for a country:
Age of a woman
Female population
Number of births
Standard population
15-19
593262
36784
329546
20-24
587076
81213
124466
25-29
505362
65236
112438
30-34
424186
37500
106239
35-39
385749
17532
103951
40-44
325105
4929
110835
45-49
266575
512
112525
Find (i) General fertility rate, (ii) Age-specific fertility
rates, (iii) Total fertility rate, (iv) Cumulative fertility rate,
(v) Standardized general fertility rate.
Solutions
Expert Solution
(i) General fertility rate = (Total live birth/ Female polation of age 15-49) * 1000 = 78.94
(ii) Age-specific fertility rates= Number of live birth/ Female polation of that age groupage , to be calculated for each age group
(iii) Total fertility rate, It is calculated by adding up the average number of births per woman across five-year age groups (i.e. age-specific fertility rates, or ASFR).= (5 * ASFR)/1000= 2.40181
(iv) Cumulative fertility rate = 5 * ASFR
(v) Standardized general fertility rate= 68.178 It is calculated as the average of the age-specific fertility rates. The age-groups (15 years to 49 years) are weighted by a standard population (standardized). The figure is reported per 1,000 women.
| Age of woman | Female Population |
Number of births |
Standard population |
General Fertility Rate | Age Specific Fertility Rate | Total Fertility Rate | Cumulative Fertility Rate | Standardized General Fertility Rate | ||
|
15-19 |
593262 |
36784 |
329546 |
78.94 | 62.003 | 2.4018 | 2401.806 | 68.17819 | 0.062003 | 20432.83 |
|
20-24 |
587076 |
81213 |
124466 |
138.335 | 0.138335 | 17217.97 | ||||
|
25-29 |
505362 |
65236 |
112438 |
129.088 | 0.129088 | 14514.36 | ||||
|
30-34 |
424186 |
37500 |
106239 |
88.4046 | 0.088405 | 9392.018 | ||||
|
35-39 |
385749 |
17532 |
103951 |
45.4492 | 0.045449 | 4724.494 | ||||
|
40-44 |
325105 |
4929 |
110835 |
15.1613 | 0.015161 | 1680.398 | ||||
|
45-49 |
266575 |
512 |
112525 |
1.92066 | 0.001921 | 216.1223 | ||||
| Total | 3087315 | 243706 | 1000000 | 68178.19 |
.
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