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IBGE Recenseador (Processo Seletivo) (Brazil)

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2026 Statistics

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The Concurso IBGE Analista is the competitive federal examination for strategic and technical positions at the Brazilian Institute of Geography and Statistics. This 100-question practice bank covers complex survey sampling, demographic and economic indicators, territorial regionalization, public administration, official writing, and database querying.

Sample IBGE Analista Practice Questions

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1In survey sampling theory applied to IBGE household investigations, how does the variance of the sample mean under Simple Random Sampling Without Replacement (SRSWOR) compare to that under Simple Random Sampling With Replacement (SRSWR) for a finite population of size N and sample size n?

A.SRSWOR variance is strictly smaller by a factor of (N - n) / (N - 1), known as the finite population correction factor.

B.SRSWOR variance is strictly larger because removing sampled elements reduces the degrees of freedom in subsequent draws.

C.SRSWOR and SRSWR have identical theoretical variances because the sample mean remains an unbiased estimator in both designs.

D.SRSWOR variance is smaller by a factor of (N - n) / N, but this reduction applies only when the sampling fraction exceeds 50%.

Explanation: Under Simple Random Sampling Without Replacement (SRSWOR), the variance of the sample mean is Var(ȳ) = (1 - f) * (S^2 / n) = [(N - n) / (N - 1)] * (σ^2 / n), where (N - n) / (N - 1) is the finite population correction (fpc) factor. Because without-replacement sampling prevents duplicate observations, each sampled unit provides entirely new information about the population, reducing sampling variance relative to SRSWR.

2In stratified random sampling, Neyman optimal allocation determines the stratum sample size n_h to minimize total estimation variance for a fixed total sample size n. Which formula correctly defines the stratum sample size under Neyman allocation?

A.n_h = n * [ (N_h * S_h) / Σ (N_k * S_k) ]

B.n_h = n * [ N_h / Σ N_k ]

C.n_h = n * [ S_h^2 / Σ S_k^2 ]

D.n_h = n * [ (N_h / S_h) / Σ (N_k / S_k) ]

Explanation: Neyman optimal allocation distributes sample size n across strata proportional to the product of the stratum population size (N_h) and the stratum standard deviation (S_h), according to n_h = n * (N_h * S_h) / Σ(N_k * S_k). This ensures that larger strata and strata with higher internal variability receive larger sample allocations, minimizing the variance of the stratified estimator.

3When comparing single-stage cluster sampling to simple random sampling (SRS) of the same total number of elements, what role does the intraclass correlation coefficient (ρ) play in determining estimation precision?

A.A positive ρ indicates that elements within the same cluster are homogeneous, which increases the variance of cluster sampling relative to SRS.

B.A positive ρ indicates that elements within the same cluster are heterogeneous, which reduces the variance of cluster sampling below that of SRS.

C.A negative ρ always doubles the variance of the cluster estimator regardless of cluster size.

D.The value of ρ affects only non-response rates but has no mathematical impact on the theoretical variance of the estimator.

Explanation: The intraclass correlation coefficient (ρ) measures the degree of similarity among units within the same cluster. In socio-economic surveys, neighboring households in the same census tract tend to be similar (positive ρ), which causes cluster sampling to have higher variance than SRS because units in the same cluster provide partially redundant information.

4An IBGE sampling statistician designs a two-stage cluster survey where the average number of households sampled per primary sampling unit (census tract) is m̄ = 16. If the estimated intraclass correlation coefficient for household income is ρ = 0.05, what is the design effect (deff) of this sampling design?

A.1.75

B.1.05

C.2.60

D.0.80

Explanation: The design effect for cluster sampling is calculated using Kish's formula: deff = 1 + (m̄ - 1) * ρ. Substituting the given values: deff = 1 + (16 - 1) * 0.05 = 1 + 15 * 0.05 = 1 + 0.75 = 1.75. This means the variance under this cluster design is 75% larger than under an equivalent simple random sample.

5In probability sampling designs such as the PNAD Contínua Master Sample (Amostra Mestra), how is the basic design weight (peso amostral básico) of an individual sample unit defined?

A.As the reciprocal (inverse) of the unit's inclusion probability in the sample: w_i = 1 / π_i.

B.As the ratio of the sample mean to the known population variance: w_i = ȳ / S^2.

C.As the sample size divided by the total number of non-respondents in the primary stratum.

D.As the standardized z-score of the unit's primary demographic characteristic.

Explanation: In Horvitz-Thompson estimation, the basic design weight w_i assigned to sampled unit i is the reciprocal of its first-order inclusion probability, w_i = 1 / π_i. This weight represents the number of population units in the target universe represented by that sampled observation, ensuring design-unbiased estimates of population totals.

6In the processing of the Pesquisa Nacional por Amostra de Domicílios Contínua (PNAD Contínua), calibration (calibração de pesos) is applied to the basic design weights. What is the primary purpose of this procedure?

A.To adjust survey weights so that estimated population totals by age group and sex match independent demographic population projections, reducing both sampling variance and coverage bias.

B.To eliminate all sampling errors by converting the sample survey into a complete demographic census enumeration.

C.To artificially inflate the sample size of underperforming economic sectors to achieve equal variance across all Brazilian municipalities.

D.To re-order questionnaire items during field data collection based on household response latency.

Explanation: Weight calibration (such as generalized regression or raking ratio estimation) modifies design weights to ensure that weighted sample totals exactly match known auxiliary population totals (e.g., official IBGE population projections by age and sex). This adjustment improves the consistency of estimates across publications, corrects for differential non-response/coverage, and reduces sampling variance.

7In the methodology of the Brazilian Demographic Census (Censo Demográfico), how does IBGE define the enumerated resident population (população residente / de jure)?

A.Persons who have their habitual residence in the enumerated private or collective household on the reference date, including those temporarily absent for less than 12 months.

B.All individuals physically present inside the household at the exact midnight hour of the reference date, regardless of their habitual residence.

C.Only individuals possessing official Brazilian civil birth certificates registered within the same municipality.

D.Registered property owners and formal taxpayers enumerated strictly at their legal tax address.

Explanation: IBGE conducts the Demographic Census using the de jure (resident population) concept. The resident population includes all individuals who habitually reside in the private or collective household on the reference date (data de referência), including persons temporarily absent for periods not exceeding 12 months (e.g., for travel, work, or hospital stays) who maintain habitual ties to the dwelling.

8To evaluate the coverage and quality of the Demographic Census, IBGE conducts the Pesquisa de Pós-Enumeração (PPE). What statistical methodology is primarily employed in the PPE to estimate net census undercount (taxa de omissão líquida)?

A.Dual-System Estimation (DSE / método de captura-recaptura de Chandrasekaran-Deming) comparing census records with an independent sample.

B.Simple linear extrapolation of municipal birth and death registry data without field re-interviewing.

C.Deterministic replacement of uncollected questionnaires with national average responses.

D.Non-parametric bootstrap resampling of municipal tax records.

Explanation: The Pesquisa de Pós-Enumeração (PPE) utilizes Dual-System Estimation (DSE), based on the capture-recapture methodology formulated by Chandrasekaran and Deming. By cross-matching individuals found in the census (first system) and in an independent probabilistic sample of census tracts (second system), IBGE estimates the total population, gross omission, erroneous enumerations, and net census coverage rates.

9The Total Fertility Rate (Taxa de Fecundidade Total - TFT) is a fundamental demographic indicator produced by IBGE. How is the TFT calculated from demographic survey data?

A.As the sum of the age-specific fertility rates (ASFRs / TEFs) across reproductive age groups (typically 15–49 years) multiplied by the width of the age intervals.

B.As the total number of live births in a calendar year divided by the total female population of all ages.

C.As the average number of surviving children per household divided by the municipal crude birth rate.

D.As the ratio of live male births to live female births in a given reference period.

Explanation: The Total Fertility Rate (TFT) is a synthetic cohort measure calculated as TFT = n * Σ (f_x), where f_x is the age-specific fertility rate for age interval x (births to women aged x to x+n divided by female person-years lived in that age group) and n is the interval width (usually 5 years). It represents the average number of children a woman would bear if she experienced current fertility schedules throughout her reproductive lifespan (ages 15–49).

10Data from the 2022 Demographic Census revealed that Brazil's Total Fertility Rate dropped to approximately 1.57 children per woman, well below the generational replacement level. What is the replacement fertility threshold in low-mortality populations, and what is the direct long-term demographic consequence of this trend?

A.The replacement threshold is approximately 2.1 children per woman; sustained sub-replacement fertility leads to progressive population aging and eventual natural population decline.

B.The replacement threshold is exactly 1.0 child per woman; sub-replacement fertility immediately doubles the working-age dependency ratio within 12 months.

C.The replacement threshold is 3.0 children per woman; sub-replacement fertility causes hyper-urbanization in metropolitan cores.

D.The replacement threshold is 2.8 children per woman; sub-replacement fertility eliminates all internal migration between Brazilian states.

Explanation: The demographic replacement fertility level is approximately 2.1 children per woman in populations with low infant and child mortality, allowing two children to replace their parents while compensating for childhood mortality and the slight excess of male births (sex ratio at birth ~1.05). Long-term fertility below 2.1 leads to population aging, inversion of the demographic pyramid, and eventually negative natural growth.

About the IBGE Analista Exam

The Concurso IBGE for the position of Analista de Planejamento, Gestão e Infraestrutura is the premier nationwide civil service entrance examination for technical and administrative leaders at the Instituto Brasileiro de Geografia e Estatística (IBGE). Operating under the federal executive branch and affiliated with the Ministério do Planejamento e Orçamento, IBGE is the official organ responsible for the production, analysis, and dissemination of Brazilian statistical, demographic, geographic, geodetic, and cartographic data. The Analista role requires a higher education degree (Nível Superior) and encompasses strategic planning, statistical operation management, research design, regional survey logistics, economic data processing, territorial intelligence, public budgeting, and resource governance. The examination assesses candidate proficiencies across five foundational pillars: Applied Statistics, Sampling and Demographic/Economic Data Analysis (30%), Brazilian Geography, Territorial Organization and Thematic Cartography (25%), Public Administration, Government Planning and Survey Management (20%), Portuguese Language and Official Writing (15%), and Logical-Quantitative Reasoning and Computer Science/Databases (10%). Successful candidates are inducted into tenured federal careers under Federal Law nº 8.112/1990.

Assessment

70 Objective MCQs (General & Specific Knowledge across 5 core disciplines) + 1 Discursive Essay (4 hours total).

Time Limit

4 hours (240 minutes)

Passing Score

50%

Exam Fee

R$ 100,00 (Instituto Brasileiro de Geografia e Estatística (IBGE) / Fundação Cesgranrio / Cebraspe)

IBGE Analista Exam Content Outline

30%

estatistica-amostragem

Foundational and advanced statistical methodology applied to national surveys: probability distributions (Binomial, Poisson, Normal, Student's t, Chi-square, F), point and interval estimation, hypothesis testing, linear regression, complex survey sampling designs (simple random sampling with and without replacement, stratified sampling, proportional and Neyman optimal allocation, single-stage and multi-stage cluster sampling, systematic sampling, calibration, expansion weights, post-stratification, design effect / deff), demographic concepts and methods (Demographic Census, post-enumeration surveys, total fertility rate, crude and specific mortality rates, infant mortality, life tables, dependency ratios, demographic transition stages, population projections), and national economic accounts and household surveys (Gross Domestic Product calculation by expenditure, production, and income approaches, consumer price indices Laspeyres vs Paasche formulas in IPCA and INPC, Pesquisa Nacional por Amostra de Domicílios Contínua - PNAD Contínua, Pesquisa de Orçamentos Familiares - POF, and agricultural surveys PAM/PPM/PEVS).

25%

geografia-territorio

Brazilian spatial and territorial dynamics: historical and constitutional evolution of Brazilian regional divisions, official IBGE Macro-regions (Norte, Nordeste, Sudeste, Sul, Centro-Oeste), transition from 1989/1990 Mesorregiões and Microrregiões to the 2017 Regiões Geográficas Imediatas e Regiões Geográficas Intermediárias framework, urban network structure and central place hierarchy from the REGIC study (Metrópoles, Capitais Regionais, Centros Sub-regionais, Centros de Zona, Centros Locais), agrarian geography and agricultural frontier expansion (MATOPIBA, Cerrado agribusiness, Land Census / Censo Agropecuário), environmental domains and biomes (Amazônia, Cerrado, Caatinga, Mata Atlântica, Pantanal, Pampa), thematic cartography, geodetic datums (SAD69 vs SIRGAS2000), Universal Transverse Mercator (UTM) coordinate system, cartographic scale calculations, census mapping structure (Setores Censitários, aglomerados subnormais / favelas e comunidades urbanas), Geographic Information Systems (GIS) vector and raster models, and the Infraestrutura Nacional de Dados Espaciais (INDE).

20%

administracao-planejamento

Public administrative law and federal state governance: constitutional principles of public administration (LIMPE - Legalidade, Impessoalidade, Moralidade, Publicidade, Eficiência under Art. 37 CF/88), direct vs indirect administration, public autarchies and foundations, federal planning and budgetary cycle (Plano Plurianual - PPA, Lei de Diretrizes Orçamentárias - LDO, Lei Orçamentária Anual - LOA), budget principles, public procurement and administrative contracts under the Nova Lei de Licitações (Lei nº 14.133/2021), statutory legal regime of federal civil servants (Lei nº 8.112/1990: appointments, tenure, duties, prohibitions, disciplinary process), statistical operations management and quality frameworks (Generic Statistical Business Process Model - GSBPM), legal mandate and statistical confidentiality under Lei nº 5.534/1968, Access to Information Law (LAI - Lei nº 12.527/2011), and public sector ethics (Decreto nº 1.171/1994).

15%

lingua-portuguesa

Textual comprehension, interpretation, and official writing standards: textual typology and communicative intention, cohesion and coherence mechanisms (anaphoric/cataphoric referencing, connectives, lexical cohesion), morphosyntactic structures, verbal and nominal agreement (concordância verbal e nominal), verbal and nominal government (regência verbal e nominal), correct usage of crasis (crase obrigatória, proibida e facultativa), punctuation rules (comma, semicolon, colon, dashes), semantics and lexical precision, and the official standards of presidential and federal executive correspondence pursuant to the Manual de Redação da Presidência da República (principles of impersonality, conciseness, clarity, formal standard, padronização do padrão ofício, fechos para comunicações, and identification of signers).

10%

raciocinio-logico-dados

Formal propositional logic and quantitative information management: propositional logic, truth tables, logical connectives (conjunction, disjunction, conditional, biconditional), logical equivalences (De Morgan's laws, contrapositive, conditional negation), categorical propositions and syllogisms, combinatorics (permutations, combinations, arrangements) and basic probability, relational database concepts (relational model, primary/foreign keys, entity-relationship diagrams, normalization 1NF/2NF/3NF), structured query language (SQL syntax: SELECT, FROM, WHERE, GROUP BY, HAVING, ORDER BY, INNER/LEFT/RIGHT/FULL OUTER JOIN, aggregate functions COUNT/SUM/AVG/MIN/MAX), data warehousing principles (star and snowflake schemas, OLAP cubes), and compliance with the General Data Protection Law (LGPD - Lei nº 13.709/2018) in public administrative data systems.

How to Pass the IBGE Analista Exam

What You Need to Know

Passing score: 50%
Assessment: 70 Objective MCQs (General & Specific Knowledge across 5 core disciplines) + 1 Discursive Essay (4 hours total).
Time limit: 4 hours (240 minutes)
Exam fee: R$ 100,00

Keys to Passing

Work through all 100 available questions
Review every answer and explanation
Track weak areas and revisit them
Use our AI tutor for tough concepts

IBGE Analista Study Tips from Top Performers

1Master Complex Survey Sampling Calculations: Solve quantitative problems on sample size determination, proportional vs Neyman optimal allocation in stratified sampling, cluster intraclass correlation coefficients, and design effects (deff).

2Memorize the 2017 Territorial Division Framework: Understand the criteria differentiating Immediate Geographic Regions (structured around local urban networks and immediate basic needs) and Intermediate Geographic Regions (organized around regional capitals and specialized services).

3Internalize Economic and Demographic Formulas: Practice Laspeyres and Paasche index formulas, Total Fertility Rate (TFR) calculation, infant mortality rate formulas, GDP expenditure vs income identities, and dependency ratio equations.

4Review the Nova Lei de Licitações (Lei nº 14.133/2021): Focus on the procurement modalities (Pregão, Concorrência, Concurso, Leilão, Diálogo Competitivo), criteria for direct contracting (dispensa e inexigibilidade), and contract execution phases.

5Drill SQL and Logical Equivalences: Practice complex multi-table SQL queries involving INNER/LEFT JOINs, GROUP BY, HAVING, and aggregate functions, as well as formal negations of conditional statements ('se P então Q') and De Morgan rules.

Frequently Asked Questions

What is the Concurso IBGE for the Analista position?

The Concurso IBGE for Analista de Planejamento, Gestão e Infraestrutura is a national public competitive examination administered by IBGE (often through examining boards like Fundação Cesgranrio or Cebraspe) to select high-level civil servants responsible for statistical planning, demographic research, territorial management, public administration, and IT infrastructure across Brazil.

What is the official format and scoring structure of the exam?

The examination typically comprises 70 objective multiple-choice questions (covering applied statistics, geography, public administration, Portuguese, and logical-quantitative reasoning) plus 1 applied discursive question or case study. The total duration is 4 hours, and candidates must achieve at least 50% overall to avoid elimination.

What are the primary statistical and demographic subjects evaluated?

Candidates must master survey sampling designs (stratified, cluster, multi-stage), design effects (deff), expansion weights and calibration, probability distributions, hypothesis testing, Demographic Census methodology, fertility and mortality indicators, life tables, national accounts (GDP calculation), and key economic indices such as IPCA, INPC, and PNAD Contínua.

How does the exam evaluate Brazilian geography and territorial organization?

The geographic component focuses heavily on IBGE's official frameworks, including the 2017 division into Regiões Geográficas Imediatas e Intermediárias (which superseded the 1989 Mesorregiões and Microrregiões), the REGIC urban network hierarchy, agrarian dynamics and Censo Agropecuário, census cartography (Setores Censitários), SIRGAS2000 geodetic datum, and INDE spatial data standards.

What are the administrative law and governance requirements?

Candidates must demonstrate deep knowledge of the Brazilian Constitution (Art. 37), the federal budgetary cycle (PPA, LDO, LOA), the Nova Lei de Licitações (Lei nº 14.133/2021), the statutory regime of federal servants (Lei nº 8.112/1990), statistical confidentiality (Lei nº 5.534/1968), and the GSBPM statistical quality framework.

Why is this practice question bank presented in English?

This 100-question practice bank is an English-language study adaptation crafted for bilingual analysts, international researchers, and Brazilian candidates aiming to reinforce their mastery of IBGE concepts with high analytical rigor, preserving official Portuguese terminology and legal citations alongside comprehensive English stems and rationales.