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Philippine Statistics Authority recruitment Demography & Vital Statistics: practice questions

Philippine Statistics Authority recruitment (statistician positions) · Philippines · Philippine Statistics Authority; Civil Service Commission eligibility

Original practice questions written to the published syllabus · not past papers
10worked here, free
24written to this exam in this subject
9syllabus units

What this subject covers

Measuring populations and their change: sources of demographic data, fertility, mortality and migration measures, life tables, population growth models and projection, which the Indian Statistical Service and national statistical offices examine and rural and farm-household studies use.

In the exams: UPSC ISS Statistics IV (heavy, reported); SSC CGL JSO (present); light in ICAR exams

Where the 24 questions fall

How our questions for Philippine Statistics Authority recruitment spread across the units of Demography & Vital Statistics. Difficulty: 8 easy, 16 medium, 0 hard.

Sources of demographic data: census, civil registration and sample registration3
Measures of fertility: crude, general, age-specific and total fertility rates; GRR and NRR3
Measures of mortality: crude, age-specific and standardised death rates; infant mortality3
Life tables: construction and uses; abridged life tables3
Migration measures3
Population growth models: exponential and logistic curves3
Population projection: component method2
Stable and stationary populations2
Rural and farm-household demography2

10 practice questions, worked

Choose an answer, then open the working. Each explanation says why the right answer is right and why the others are not.

1 · Sources of demographic data: census, civil registration and sample registration · easy

A census counts each person at the place where they were present on census night. What kind of census is this?

  1. De jure
  2. Post-enumeration
  3. Register-based
  4. De facto
Answer and working

D. De facto

A de facto census counts people where they are at the census moment; a de jure census counts them at their usual residence.

Further reading: Preston, Heuveline and Guillot, Demography; Pollard, Yusuf and Pollard, Demographic Techniques; Keyfitz and Caswell, Applied Mathematical Demography; UN Principles and Recommendations for Population and Housing Censuses

2 · Measures of fertility: crude, general, age-specific and total fertility rates; GRR and NRR · easy

A population has 2,600 live births in a year and 24,000 women aged 15-49 at mid-year. What is the general fertility rate?

  1. 26.0 per 1,000 women
  2. 108.3 per 1,000 women
  3. 108.3 per 1,000 population
  4. 9.2 per 1,000 women
Answer and working

B. 108.3 per 1,000 women

GFR = 2,600/24,000 × 1,000 = 108.3 per 1,000 women aged 15-49. 26.0 would use a total population of 100,000 (that is the CBR).

Further reading: Preston, Heuveline and Guillot, Demography; Pollard, Yusuf and Pollard, Demographic Techniques; Keyfitz and Caswell, Applied Mathematical Demography; UN Principles and Recommendations for Population and Housing Censuses

3 · Measures of fertility: crude, general, age-specific and total fertility rates; GRR and NRR · medium

Where mortality is low, replacement-level fertility corresponds to a TFR of about what value?

  1. 1.0 child per woman
  2. 3.0 children per woman
  3. 2.1 children per woman
  4. 2.5 children per woman
Answer and working

C. 2.1 children per woman

Two children replace the parents; the extra 0.1 allows for more boys than girls at birth and some female deaths before the end of reproduction. Where mortality is higher, replacement TFR is higher.

Further reading: Preston, Heuveline and Guillot, Demography; Pollard, Yusuf and Pollard, Demographic Techniques; Keyfitz and Caswell, Applied Mathematical Demography; UN Principles and Recommendations for Population and Housing Censuses

4 · Measures of mortality: crude, age-specific and standardised death rates; infant mortality · easy

In a year there are 4,000 live births and 180 deaths of infants under one year. What is the infant mortality rate?

  1. 45 per 1,000 live births
  2. 4.5 per 1,000 live births
  3. 22 per 1,000 live births
  4. 180 per 1,000 live births
Answer and working

A. 45 per 1,000 live births

IMR = 180/4,000 × 1,000 = 45. The denominator is live births, not the infant population.

Further reading: Preston, Heuveline and Guillot, Demography; Pollard, Yusuf and Pollard, Demographic Techniques; Keyfitz and Caswell, Applied Mathematical Demography; UN Principles and Recommendations for Population and Housing Censuses

5 · Measures of mortality: crude, age-specific and standardised death rates; infant mortality · easy

How is the maternal mortality ratio expressed?

  1. Maternal deaths per 1,000 women aged 15-49
  2. Maternal deaths per 1,000 total population
  3. Infant deaths per 1,000 mothers
  4. Maternal deaths per 100,000 live births
Answer and working

D. Maternal deaths per 100,000 live births

The maternal mortality ratio uses live births as the denominator and is expressed per 100,000; the maternal mortality rate uses women of reproductive age.

Further reading: Preston, Heuveline and Guillot, Demography; Pollard, Yusuf and Pollard, Demographic Techniques; Keyfitz and Caswell, Applied Mathematical Demography; UN Principles and Recommendations for Population and Housing Censuses

6 · Life tables: construction and uses; abridged life tables · medium

Why is L₀ not computed as (l₀ + l₁)/2 in a life table?

  1. Infant deaths cluster early in the year
  2. Infants are not counted in the life table radix of 100,000 births at all
  3. L₀ is always equal to l₀ by definition of the first age interval of the table
  4. Infant deaths are concentrated late in the first year, just before age one
Answer and working

A. Infant deaths cluster early in the year

Most infant deaths occur in the first weeks, so the average time lived by infants who die (separation factor a₀) is well below half a year: L₀ = l₁ + a₀d₀.

Further reading: Preston, Heuveline and Guillot, Demography; Pollard, Yusuf and Pollard, Demographic Techniques; Keyfitz and Caswell, Applied Mathematical Demography; UN Principles and Recommendations for Population and Housing Censuses

7 · Life tables: construction and uses; abridged life tables · medium

Which constant appears in Reed and Merrell's formula ₙqₓ = 1 − exp(−n ₙmₓ − a n³ ₙmₓ²)?

  1. a = 0.5
  2. a = 0.08
  3. a = 0.008
  4. a = 1.0
Answer and working

C. a = 0.008

Reed and Merrell fitted a = 0.008 empirically from many life tables.

Further reading: Preston, Heuveline and Guillot, Demography; Pollard, Yusuf and Pollard, Demographic Techniques; Keyfitz and Caswell, Applied Mathematical Demography; UN Principles and Recommendations for Population and Housing Censuses

8 · Population growth models: exponential and logistic curves · medium

A population grows from 100 million to 150 million in 10 years. What is the geometric annual growth rate?

  1. 4.05% per year
  2. 5.00% per year
  3. 4.14% per year
  4. 15.00% per year
Answer and working

C. 4.14% per year

(1 + r)¹⁰ = 1.5, so r = 1.5^0.1 − 1 = 4.14%. 4.05% is the continuous (exponential) rate.

Further reading: Preston, Heuveline and Guillot, Demography; Pollard, Yusuf and Pollard, Demographic Techniques; Keyfitz and Caswell, Applied Mathematical Demography; UN Principles and Recommendations for Population and Housing Censuses

9 · Population projection: component method · medium

Which projection component is usually the most volatile and hardest to assume?

  1. Mortality at ages 5-14
  2. The sex ratio at birth
  3. The base population count
  4. Migration
Answer and working

D. Migration

Migration responds quickly to economic and political change and policy; mortality trends are relatively smooth.

Further reading: Preston, Heuveline and Guillot, Demography; Pollard, Yusuf and Pollard, Demographic Techniques; Keyfitz and Caswell, Applied Mathematical Demography; UN Principles and Recommendations for Population and Housing Censuses

10 · Stable and stationary populations · medium

A herd keeps a constant size of 600 cows, and cows remain in the herd for 5 years on average. How many replacement heifers enter each year, by stationary-population reasoning?

  1. 600
  2. 3,000
  3. 30
  4. 120
Answer and working

D. 120

In a stationary population, annual entries = population/average duration (CBR = 1/e₀): 600/5 = 120.

Further reading: Preston, Heuveline and Guillot, Demography; Pollard, Yusuf and Pollard, Demographic Techniques; Keyfitz and Caswell, Applied Mathematical Demography; UN Principles and Recommendations for Population and Housing Censuses

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Read the subject

Demography & Vital StatisticsThe full study manual, free Philippine Statistics Authority recruitmentFormat, sections and how it has changed

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