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

orchestra answered 1 year ago

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