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Eastern Africa Statistical Training Centre programmes Demography & Vital Statistics: practice questions

Eastern Africa Statistical Training Centre (EASTC) programmes · Tanzania / Eastern Africa · Eastern Africa Statistical Training Centre

Original practice questions written to the published syllabus · not past papers
8worked here, free
23written 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 23 questions fall

How our questions for Eastern Africa Statistical Training Centre programmes spread across the units of Demography & Vital Statistics. Difficulty: 8 easy, 15 medium, 0 hard.

Life tables: construction and uses; abridged life tables5
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
Migration measures3
Sources of demographic data: census, civil registration and sample registration2
Population growth models: exponential and logistic curves2
Population projection: component method2
Rural and farm-household demography2
Stable and stationary populations1

8 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 · medium

Demographic and Health Surveys estimate child mortality mainly from which data?

  1. Hospital admission registers
  2. Complete birth histories of women of reproductive age
  3. Hospital admission and discharge registers for children under five
  4. Census counts of children aged 0-4 compared with the previous census
Answer and working

B. Complete birth histories of women of reproductive age

Each woman reports every live birth, its date and, if the child died, the age at death; mortality rates are computed from these histories.

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 · medium

When is indirect standardisation preferred to direct standardisation?

  1. When the study population is very large and has complete vital registration
  2. When the standard population's own age distribution is not known at all
  3. When the study population's age rates are unreliable
  4. When the crude death rates of the populations compared are exactly equal
Answer and working

C. When the study population's age rates are unreliable

Indirect standardisation needs only the study population's age distribution and total deaths, applying standard rates to get expected deaths. Direct standardisation needs reliable rates in each study 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 · Life tables: construction and uses; abridged life tables · medium

An observed central death rate at age 70 is m₇₀ = 0.02. Assuming deaths are spread evenly over the year, what is q₇₀?

  1. 0.0200
  2. 0.0202
  3. 0.0198
  4. 0.0400
Answer and working

C. 0.0198

q = 2m/(2 + m) = 0.04/2.02 = 0.0198. q is slightly less than m because the denominator of q is persons alive at the start of the year, while m uses person-years.

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

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

7 · Population projection: component method · easy

A projected population is 30% aged 0-14, 62% aged 15-64 and 8% aged 65 and over. What is the total dependency ratio?

  1. 38.0
  2. 48.4
  3. 12.9
  4. 61.3
Answer and working

D. 61.3

Total dependency = (30 + 8)/62 × 100 = 61.3 dependants per 100 working-age persons. 38.0 is the dependants' share of the total population; 48.4 is the youth dependency ratio alone.

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 · Rural and farm-household demography · medium

What did Chayanov argue about peasant farm households?

  1. The family life cycle shapes land farmed and work effort
  2. Farm size is fixed by inheritance and never changes with the composition of the family
  3. Households always farm exactly the area that maximises profit at market wage rates
  4. Children's labour determines farm output more than the labour of adult members
Answer and working

A. The family life cycle shapes land farmed and work effort

As children are born, consumers per worker rise and workers' effort increases; as children become workers, the household can farm more.

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 Eastern Africa Statistical Training Centre programmesFormat, sections and how it has changed

Demography & Vital Statistics for other exams

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