IBGE public selection (statistics and census positions)

Brazil · Brazilian Institute of Geography and Statistics (IBGE) with an exam organiser · civil-service · unverified source

29practice questions written to this syllabus
2subjects

Format

Objective (and for some posts discursive) written exams in Portuguese, statistics, and specific knowledge (reported).

Sections

Over the years

Built from Laisha's knowledge because the official page could not be opened or was not found during research (web search quota exhausted); confirm against the body's current notification before relying on it. IBGE runs the Brazilian Agricultural Census and the municipal agricultural production survey.

Official source: https://www.ibge.gov.br/

Subjects this exam draws on

Demography & Vital Statistics20 questionsIndex Numbers, National Accounts & Agricultural Economic Statistics9 questions

Five practice questions, worked

Original questions written to this exam's published syllabus and pattern. Not past papers.

1. Which feature is NOT one of the essential features of a population census in the UN recommendations?

  1. Enumeration of a random sample of households only
  2. Individual enumeration of each person
  3. Universality within a defined territory
  4. Simultaneity, with reference to a single census moment
Answer and working

A. Enumeration of a random sample of households only

A census enumerates everyone individually and simultaneously at defined intervals; a sample of households is a survey, not a census.

Demography & Vital Statistics · Sources of demographic data: census, civil registration and sample registration

2. Which formula satisfies both the time reversal and the factor reversal tests?

  1. Laspeyres index
  2. Paasche index
  3. Fisher ideal index
  4. Marshall-Edgeworth index
Answer and working

C. Fisher ideal index

Fisher's index sqrt(L x P) passes both, which is why Fisher called it ideal. Marshall-Edgeworth passes time reversal only; Laspeyres and Paasche fail both.

Index Numbers, National Accounts & Agricultural Economic Statistics · Tests of index numbers: time reversal, factor reversal and circularity

3. In a life table, l₆₀ = 80,000 and T₆₀ = 1,600,000. What is the expectation of life at age 60?

  1. 16 years
  2. 20 years
  3. 50 years
  4. 0.05 years
Answer and working

B. 20 years

e₆₀ = T₆₀/l₆₀ = 1,600,000/80,000 = 20 years.

Demography & Vital Statistics · Life tables: construction and uses; abridged life tables

4. Agricultural output rises from 200 to 300 over six years. What is the compound annual growth rate?

  1. 8.33%
  2. 7.50%
  3. 6.99%
  4. 50.00%
Answer and working

C. 6.99%

CAGR = (300/200)^(1/6) - 1 = 1.5^(0.1667) - 1 = 6.99%. 8.33% is the simple average 50%/6; 50% is the total change.

Index Numbers, National Accounts & Agricultural Economic Statistics · Growth rates: compound annual growth and trend estimation

5. What distinguishes a population projection from a forecast?

  1. A projection covers only the total population, while a forecast covers every age group
  2. A forecast always uses the component method, while a projection uses fitted curves only
  3. There is no distinction at all; the two terms mean exactly the same calculation
  4. A forecast is the projection judged most likely
Answer and working

D. A forecast is the projection judged most likely

Projections are conditional computations ('if fertility follows path X…'); a forecast commits to the most likely path. Agencies publish several projection variants.

Demography & Vital Statistics · Population projection: component method

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