Vital Statistics: Measures of Fertility and Mortality
Exam-Oriented Notes for JKSSB & Statistics Exams
Prepared by Home Academy
Vital Statistics is a branch of statistics that deals with the collection, analysis, and interpretation of data related to births, deaths, marriages, fertility, and population changes. These indicators help governments and planners understand population growth, health conditions, and demographic transitions.
For competitive exams such as JKSSB, SSC, UGC NET, and Statistics exams, the most important measures are fertility rates and mortality rates.
1. Measures of Fertility
Fertility refers to the actual reproductive performance of a population, measured by the number of births.
Important Fertility Indicators
| Measure | Definition | Purpose |
|---|---|---|
| Crude Birth Rate (CBR) | Number of live births per 1000 population in a year | General fertility measure |
| Crude Fertility Rate (CFR) | Births per 1000 women of reproductive age | More accurate fertility indicator |
| Age Specific Fertility Rate (ASFR) | Births per 1000 women in a specific age group | Measures fertility by age |
| Gross Reproduction Rate (GRR) | Average number of daughters born to a woman | Replacement analysis |
| Net Reproduction Rate (NRR) | Average daughters surviving to reproductive age | Population replacement indicator |
2. Crude Fertility Rate (CFR)
Definition
Crude Fertility Rate measures the number of live births per 1000 women of reproductive age (15–49 years) in a given year.
Formula
CFR = Number of Live Births in a Year / Number of Women aged 15–49 year times *1000
Example
If births in a year = 12,000
Women aged 15–49 = 80,000
CFR = (12000 / 80000) × 1000 = 150
Important Points for Exam
Focuses only on women capable of reproduction
More reliable than Crude Birth RateUsed in population growth studies
Expressed per 1000 women
3. Age Specific Fertility Rate (ASFR)
Definition
ASFR measures the fertility rate of women in a specific age group.
Formula
ASFR = Number of Live Births to Women in Age Group / Number of Women in that Age Group * times 1000
Example
Births to women aged 20–24 = 5000
Women aged 20–24 = 40,000
ASFR = (5000 / 40000) × 1000 = 125
Age Groups Commonly Used
| Age Group | Fertility Level |
|---|---|
| 15–19 | Low |
| 20–24 | Highest fertility |
| 25–29 | High |
| 30–34 | Moderate |
| 35–39 | Declining |
| 40–44 | Very low |
| 45–49 | Negligible |
Exam Points
Most births occur in 20–29 age group
Used to calculate Total Fertility Rate (TFR)4. Gross Reproduction Rate (GRR)
Definition
Gross Reproduction Rate is the average number of daughters that would be born to a woman during her reproductive life (15–49 years) assuming no mortality.
Formula
GRR = TFR x {Proportion of Female Births}
Usually:
Female births ≈ 0.488
Interpretation
| GRR Value | Meaning |
|---|---|
| GRR = 1 | Exact replacement |
| GRR > 1 | Population increasing |
| GRR < 1 | Population declining |
Exam Points
Considers only female births
Ignores female mortalityUsed for population replacement studies
5. Net Reproduction Rate (NRR)
Definition
NRR measures the average number of daughters born to a woman who survive to reproductive age.
Formula
NRR = GRR x {Probability of Survival of Females}
Interpretation
| NRR Value | Population Status |
|---|---|
| NRR = 1 | Stable population |
| NRR > 1 | Population growth |
| NRR < 1 | Population decline |
Exam Points
Considers female mortality
More accurate than GRRUsed in demographic transition analysis
6. Measures of Mortality
Mortality refers to the frequency of deaths in a population.
Important Mortality Indicators
| Measure | Definition |
|---|---|
| Crude Death Rate (CDR) | Deaths per 1000 population |
| Infant Mortality Rate (IMR) | Deaths under age 1 |
| Maternal Mortality Ratio (MMR) | Deaths during pregnancy |
| Age Specific Death Rate (ASDR) | Death rate in specific age group |
7. Crude Death Rate (CDR)
Formula
[
CDR = \frac{\text{Total Deaths in a Year}}{\text{Mid-Year Population}} \times 1000
]
Example
Deaths = 5000
Population = 200,000
CDR = (5000 / 200000) × 1000 = 25
8. Infant Mortality Rate (IMR)
Definition
Number of infant deaths (below 1 year) per 1000 live births.
Formula
[
IMR = \frac{\text{Infant Deaths}}{\text{Live Births}} \times 1000
]
Latest Important Data (India 2024–2025 Estimates)
| Indicator | Value |
|---|---|
| Infant Mortality Rate | ~27 per 1000 births |
| Maternal Mortality Ratio | ~97 per 100,000 births |
| Total Fertility Rate | ~2.0 |
9. Age Specific Death Rate (ASDR)
Formula
ASDR = Deaths in Specific Age Group /Population in that Age Group *times 1000
Importance
Used in life tables
Helps measure health conditions
Revision Table (Very Important for Exams)
| Indicator | Formula | Base |
|---|---|---|
| CFR | Births / Women (15–49) × 1000 | 1000 women |
| ASFR | Births in age group / Women in age group × 1000 | 1000 women |
| GRR | TFR × proportion of female births | Female births |
| NRR | GRR × survival rate | Female births surviving |
| CDR | Deaths / Population × 1000 | 1000 population |
| IMR | Infant deaths / live births × 1000 | 1000 births |
Previous Year Questions (PYQ)
PYQ 1
Crude Fertility Rate is calculated using:
A. Total population
B. Women aged 15–49
C. Married women only
D. Male population
Answer: B
PYQ 2
Which measure considers female mortality?
A. GRR
B. NRR
C. CBR
D. ASFR
Answer: B
PYQ 3
Infant Mortality Rate measures:
A. Deaths under age 5
B. Deaths under age 1
C. Maternal deaths
D. Adult deaths
Answer: B
Most Expected MCQs for JKSSB (2026)
1
The reproductive age group of women used in fertility studies is:
A. 10–40
B. 15–49
C. 18–45
D. 20–50
Answer: B
2
Which fertility indicator measures only female births?
A. ASFR
B. GRR
C. CBR
D. CDR
Answer: B
3
NRR equal to 1 indicates:
A. Population decline
B. Population replacement
C. Population explosion
D. Zero population
Answer: B
4
Crude Death Rate is expressed per:
A. 100
B. 1000
C. 10,000
D. 1 lakh
Answer: B
5
Which measure is most accurate for fertility comparison?
A. CBR
B. CFR
C. ASFR
D. IMR
Answer: C
One-Line Revision Points for Exam
Reproductive age group of women = 15–49 years
GRR counts daughters onlyNRR includes mortality
IMR measures deaths below 1 year
CDR uses mid-year population
ASFR is most precise fertility indicator