100+ Free Intermediate Statistician (China) Practice Questions

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2026 Statistics

Key Facts: Intermediate Statistician (China) Exam

120 Points

Full score per examination paper (passing score is 72 points / 60%)

MOHRSS & NBS Qualification Standards

150 Minutes

Duration of each of the two examination papers (300 minutes total)

NBS Examination Scheme

GB/T 4754

National standard for Industrial Classification of National Economic Activities

National Bureau of Statistics / SAC

SNA 2016

China System of National Accounts standard framework

NBS National Accounts Department

¥200,000

Maximum statutory administrative fine for enterprise statistical falsification

PRC Statistics Law Article 41

The China Intermediate Statistician Examination is the official national credential for statistical professionals in China, organized by NBS and MOHRSS. Candidates must pass two 2.5-hour, 120-point papers (Statistical Basic Theory and Statistical Working Practice) with at least 72 points each. The 100 practice questions here provide an English-language study bank covering statistical calculations, regression analysis, accounting ratios, PRC Statistics Law compliance, GB/T 4754 classification, and China SNA national accounting tables.

Sample Intermediate Statistician (China) Practice Questions

Try these sample questions to test your Intermediate Statistician (China) exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A statistical survey team needs to sample enterprises across different industry sectors where enterprise revenues vary significantly between sectors but are relatively homogeneous within each sector. Which probability sampling method is most efficient?

A.Stratified sampling (分层抽样)

B.Simple random sampling (简单随机抽样)

C.Cluster sampling (整群抽样)

D.Systematic sampling (等距抽样)

Explanation: Stratified sampling (分层抽样) is the most efficient probability sampling method when the population is divided into heterogeneous subgroups (strata) that internally exhibit high homogeneity. By sampling independently within each stratum, it minimizes within-stratum variance and reduces the overall sampling error compared to simple random sampling.

2In a unimodal frequency distribution of enterprise annual wage data that is positively skewed (right-skewed), what is the correct relationship among the mean, median, and mode?

A.Mode < Median < Mean (众数 < 中位数 < 均值)

B.Mean < Median < Mode (均值 < 中位数 < 众数)

C.Median < Mode < Mean (中位数 < 众数 < 均值)

D.Mean = Median = Mode (均值 = 中位数 = 众数)

Explanation: In a right-skewed (positively skewed) unimodal distribution, extreme high values pull the arithmetic mean to the right the most, followed by the median, while the mode remains at the peak of the curve. Thus, the relationship is Mode < Median < Mean (众数 < 中位数 < 均值).

3A statistician compares the dispersion of two datasets: Group A has a mean of 500万元 and standard deviation of 50万元; Group B has a mean of 20万元 and standard deviation of 4万元. Which group has greater relative dispersion?

A.Group B, because its coefficient of variation is 20% compared to Group A's 10%

B.Group A, because its standard deviation of 50万元 is much larger than Group B's 4万元

C.Group A, because its variance is 2,500 compared to Group B's variance of 16

D.Both groups have identical relative dispersion because both standard deviations are positive

Explanation: The coefficient of variation ($CV = \frac{s}{\bar{x}} \times 100\%$) measures relative dispersion independent of scale or measurement units. For Group A, $CV_A = \frac{50}{500} = 10\%$. For Group B, $CV_B = \frac{4}{20} = 20\%$. Since $CV_B > CV_A$, Group B exhibits greater relative variation.

4If a sample dataset yields a skewness coefficient of $\alpha_3 = +1.45$ and an excess kurtosis coefficient of $\alpha_4 - 3 = +2.10$, how should the distribution be described relative to a normal distribution?

A.Right-skewed and leptokurtic (尖峰右偏, more peaked with heavier tails)

B.Left-skewed and platykurtic (平峰左偏, flatter with lighter tails)

C.Right-skewed and platykurtic (平峰右偏, flatter with lighter tails)

D.Symmetric and mesokurtic (标准正态峰度)

Explanation: A positive skewness coefficient ($\alpha_3 > 0$) indicates a right-skewed (positively skewed) distribution with a longer right tail. A positive excess kurtosis ($\alpha_4 - 3 > 0$) indicates a leptokurtic distribution (尖峰厚尾), which is more peaked around the center and has fatter tails than a normal distribution.

5Under a normal distribution $X \sim N(\mu, \sigma^2)$, what approximate percentage of the total observations falls within the interval $[\mu - 2\sigma, \mu + 2\sigma]$?

A.95.45%

B.68.27%

C.99.73%

D.90.00%

Explanation: According to the empirical rule (3-sigma rule) for normal distributions: approximately 68.27% of observations fall within $\mu \pm 1\sigma$, approximately 95.45% fall within $\mu \pm 2\sigma$, and approximately 99.73% fall within $\mu \pm 3\sigma$.

6Let $Z \sim N(0, 1)$ be a standard normal random variable and $Y \sim \chi^2(k)$ be an independent Chi-square random variable with $k$ degrees of freedom. Which distribution does the statistic $T = \frac{Z}{\sqrt{Y/k}}$ follow?

A.Student's t-distribution with $k$ degrees of freedom ($t(k)$)

B.Snedecor's F-distribution with $(1, k)$ degrees of freedom ($F(1, k)$)

C.Standard normal distribution $N(0, 1)$

D.Chi-square distribution with $k+1$ degrees of freedom ($\chi^2(k+1)$)

Explanation: By definition, the ratio of a standard normal variable $Z$ to the square root of an independent Chi-square variable $Y$ divided by its degrees of freedom $k$, $T = \frac{Z}{\sqrt{Y/k}}$, follows Student's t-distribution with $k$ degrees of freedom ($t(k)$).

7An estimator $\hat{\theta}$ of parameter $\theta$ is considered 'unbiased' (无偏性) if and only if which mathematical condition is satisfied?

A.$E(\hat{\theta}) = \theta$

B.$Var(\hat{\theta}) \to 0$ as $n \to \infty$

C.$\lim_{n \to \infty} P(|\hat{\theta} - \theta| < \epsilon) = 1$

D.$Var(\hat{\theta}) \le Var(\tilde{\theta})$ for any other estimator $\tilde{\theta}$

Explanation: Unbiasedness (无偏性) means that the mathematical expectation of the estimator equals the true population parameter: $E(\hat{\theta}) = \theta$. This ensures that across repeated sampling, the estimates do not systematically deviate above or below the true value.

8A random sample of $n = 64$ workers from a manufacturing plant yields a sample mean output of $\bar{x} = 120$ units. The population standard deviation is known to be $\sigma = 16$ units. What is the 95% confidence interval for the population mean $\mu$ (using $z_{0.025} = 1.96$)?

A.[116.08, 123.92]

B.[115.10, 124.90]

C.[118.04, 121.96]

D.[104.00, 136.00]

Explanation: When population standard deviation $\sigma$ is known, the confidence interval formula is $\bar{x} \pm z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$. Standard error is $\frac{\sigma}{\sqrt{n}} = \frac{16}{\sqrt{64}} = \frac{16}{8} = 2.0$. Margin of error is $E = 1.96 \times 2.0 = 3.92$. Thus, the 95% confidence interval is $120 \pm 3.92 = [116.08, 123.92]$.

9A market researcher wants to estimate average household monthly expenditure on organic food within a margin of error of $E = 50$ yuan at a 95% confidence level ($z_{0.025} = 1.96$). Prior pilot studies indicate a population standard deviation of $\sigma = 250$ yuan. What is the minimum required sample size?

A.97

B.10

C.77

D.385

Explanation: The required sample size formula for estimating a population mean is $n = \left(\frac{z_{\alpha/2} \cdot \sigma}{E}\right)^2$. Substituting the parameters: $n = \left(\frac{1.96 \times 250}{50}\right)^2 = (1.96 \times 5)^2 = 9.8^2 = 96.04$. Rounding up to the next whole integer gives $n = 97$.

10In a quality inspection sample of $n = 400$ electronic components, 60 are found to be defective ($p = 0.15$). What is the standard error of the sample proportion $\sigma_p$?

A.0.0179

B.0.0357

C.0.0003

D.0.1275

Explanation: The standard error of the sample proportion is calculated as $SE(p) = \sqrt{\frac{p(1-p)}{n}}$. With $p = 0.15$ and $n = 400$: $SE(p) = \sqrt{\frac{0.15 \times 0.85}{400}} = \sqrt{\frac{0.1275}{400}} = \sqrt{0.00031875} \approx 0.017853 \approx 0.0179$ (or 1.79%).

About the Intermediate Statistician (China) Exam

The National Qualification Examination for Intermediate Statisticians (全国中级统计专业技术资格考试) is the statutory professional qualification examination administered by the National Bureau of Statistics of China (NBS) and MOHRSS. It tests statistical theory (descriptive statistics, probability distributions, hypothesis testing, ANOVA, linear regression, time series, and index theory), accounting and macroeconomic foundations, the PRC Statistics Law and regulatory compliance, national statistical standards (GB/T 4754 Industry Classification, basic unit statistics, urban-rural division codes), enterprise statistics across sectors (above-scale industry, wholesale/retail, fixed-asset investment, energy/tce), and national economic accounting (China SNA 2016 GDP accounting, Input-Output tables, Flow of Funds, Balance of Payments, CPI/PPI price indices). Officially administered in Chinese, this OpenExamPrep question bank provides an English-language MCQ study adaptation.

Assessment

Two papers: Statistical Basic Theory & Related Knowledge (统计基础理论及相关知识·中级, 150 min, 120 points) and Statistical Working Practice (统计工作实务·中级, 150 min, 120 points).

Time Limit

150 minutes per paper (total 5.0 hours over morning and afternoon sessions)

Passing Score

60% of full mark on each paper (72 out of 120 points per subject)

Exam Fee

RMB 100–140 total across both papers (approx. RMB 50–70 per paper) (National Bureau of Statistics of China (国家统计局 / NBS) & MOHRSS)

Intermediate Statistician (China) Exam Content Outline

25%

Statistical Basic Theory & Quantitative Methods (统计基础理论与数理统计)

Data collection, sampling design, descriptive statistics, probability distributions (Normal, t, F, Chi-square), parameter estimation, confidence intervals, hypothesis testing, ANOVA, correlation and OLS regression, time series forecasting, and index number decomposition

20%

Accounting & Economics Foundations (会计与经济学基础知识)

Accounting elements, double-entry bookkeeping, balance sheets, income statements, liquidity and solvency ratios, national income accounting (GDP expenditure and production approaches), fiscal policy, monetary policy (M0/M1/M2), inflation, and exchange rate mechanisms

25%

Statistical Legal System & Classifications (统计法律法规与分类标准)

PRC Statistics Law and Implementation Regulations, statistical agencies and personnel powers, survey project approval and filing systems, legal liabilities for data falsification, GB/T 4754 Industry Classification, basic unit statistics, and urban-rural division codes

30%

Statistical Working Practice & National Accounts (统计工作实务与国民经济核算)

Sector statistics (agriculture, above-scale industry RMB 20M+ threshold, construction, retail trade, services, fixed-asset investment, energy standard coal tce), China SNA 2016 (GDP accounting, Input-Output tables, Flow of Funds, Balance of Payments, National Balance Sheet), and price statistics (CPI 8 categories, PPI, real estate indices)

How to Pass the Intermediate Statistician (China) Exam

What You Need to Know

Passing score: 60% of full mark on each paper (72 out of 120 points per subject)
Assessment: Two papers: Statistical Basic Theory & Related Knowledge (统计基础理论及相关知识·中级, 150 min, 120 points) and Statistical Working Practice (统计工作实务·中级, 150 min, 120 points).
Time limit: 150 minutes per paper (total 5.0 hours over morning and afternoon sessions)
Exam fee: RMB 100–140 total across both papers (approx. RMB 50–70 per paper)

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

Intermediate Statistician (China) Study Tips from Top Performers

1Master the index decomposition formula: $I_{pq} = I_p \times I_q$, where the Laspeyres quantity index is $K_q = \frac{\sum q_1 p_0}{\sum q_0 p_0}$ and the Paasche price index is $K_p = \frac{\sum q_1 p_1}{\sum q_1 p_0}$.

2Memorize the Three GDP Approaches in China SNA: Production Approach ($GDP = \sum Gross\ Output - Intermediate\ Input$), Income Approach ($GDP = Compensation\ of\ Employees + Net\ Taxes\ on\ Production + Depreciation + Operating\ Surplus$), and Expenditure Approach ($GDP = Final\ Consumption + Gross\ Capital\ Formation + Net\ Exports$).

3Know the designated size thresholds: Industrial enterprises above designated size have annual main business revenue of $\ge$ RMB 20 million; wholesale enterprises have annual revenue of $\ge$ RMB 20 million; retail enterprises have annual revenue of $\ge$ RMB 5 million.

4Understand the PRC Statistics Law hierarchy: national statistical surveys are approved by the NBS; departmental statistical surveys are approved by NBS or departmental heads; local statistical surveys are approved by local government statistical agencies; statistical fraud carries administrative sanctions and fines up to RMB 200,000 for serious enterprise violations.

5Review energy conversion standards: 1 kg of standard coal equivalent (kgce) equals 7,000 kcal (29,307.6 kJ), and 1 ton of standard coal equivalent (tce) equals 1,000 kgce.

Frequently Asked Questions

What is the China Intermediate Statistician Professional Qualification Examination?

It is the statutory national professional technical qualification examination jointly organized by the National Bureau of Statistics (NBS / 国家统计局) and MOHRSS. Passing this examination awards the Intermediate Statistician (中级统计师) title certificate, recognized nationwide across government statistical agencies, financial institutions, state-owned enterprises, and private corporations for professional practice and promotion.

What are the two examination subjects and passing scores?

The examination consists of two papers: (1) Statistical Basic Theory and Related Knowledge (统计基础理论及相关知识 — 中级, 150 minutes, 120 points) and (2) Statistical Working Practice (统计工作实务 — 中级, 150 minutes, 120 points). The national passing standard is fixed at 60% of the total score, which is 72 points out of 120 on each paper.

What key national standards and classifications are tested in Statistical Working Practice?

Key standards include the PRC Statistics Law and its Implementation Regulations, the Industrial Classification for National Economic Activities (GB/T 4754), Regulations on the Classification of Basic Units, the Administrative Division and Urban-Rural Division Code, the System of National Accounts (China SNA 2016), above-scale enterprise revenue thresholds (e.g., RMB 20 million for industrial enterprises), and standard coal equivalent (tce) energy conversion factors.

How is this question bank adapted for English-speaking learners?

The official exam in China is set in Simplified Chinese. This OpenExamPrep question bank provides a rigorous English-language adaptation translating technical terminology into standard international statistical and SNA terminology while preserving exact PRC legal provisions, NBS formulas, and standard classification codes.