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2026 Statistics
Key Facts: BGCSE Statistics 4040 Exam
4040
BEC Syllabus Code
Botswana Examinations Council
2 Papers
Written Examination Papers
BEC Exam Structure
2h each
Paper 1 & Paper 2 Duration
BEC Exam Timetable
Grade C
Tertiary Pass Benchmark
Botswana Tertiary Entrance Standard
100
Practice Questions
OpenExamPrep Question Bank
BGCSE Statistics 4040 is administered by the Botswana Examinations Council (BEC) for upper secondary students. The curriculum prepares candidates for tertiary quantitative and analytical programs by testing data representation, summary statistics, probability, correlation, index numbers, and time series analysis. This 100-question practice bank provides comprehensive step-by-step worked calculations and explanations across all core syllabus domains.
Sample BGCSE Statistics 4040 Practice Questions
Try these sample questions to test your BGCSE Statistics 4040 exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.
1Which of the following describes secondary data?
A.Data collected directly by the researcher for a specific ongoing investigation
B.Data obtained from existing published sources, such as government reports or census archives
C.Data generated through live laboratory experiments conducted by the statistical analyst
D.Data collected via face-to-face interviews designed specifically for the study
Explanation: Secondary data refers to information that has already been collected, processed, and published by another entity for a different purpose, such as government census records or official reports. Primary data, by contrast, is collected firsthand by the researcher specifically for their current study. Published archives save time and cost but require careful verification of reliability.
2Which of the following variables is quantitative continuous?
A.The number of cars registered in Gaborone each day
B.The height of senior secondary students in centimeters
C.The shoe size of students in a Statistics class
D.The grade awarded to a candidate in a BGCSE examination
Explanation: Quantitative continuous variables can take any real numeric value within a given range, depending on the precision of the measuring instrument. Height is continuous because a student can measure 165.4 cm, 165.42 cm, etc. Countable items (like car registrations or shoe sizes) and categorical grades are discrete or qualitative.
3What is the defining characteristic of a simple random sampling method?
A.Every individual member of the population has an equal and independent chance of selection
B.Every nth person on an alphabetical list is selected after a random starting point
C.The population is divided into strata and non-random quotas are filled by the interviewer
D.The sample is selected strictly from volunteers who choose to participate in the study
Explanation: In simple random sampling, every member of the target population has an equal probability of being selected, and selections are independent of one another. This ensures an unbiased representation of the population. Selecting every nth item describes systematic sampling, while quota sampling is a non-probability method.
4A researcher wishes to select a systematic sample of 25 employees from a numbered staff list of 500 people. What sampling interval k should be used?
A.15
B.20
C.25
D.50
Explanation: The sampling interval k for systematic sampling is calculated as k = N / n, where N is the total population size and n is the desired sample size. Here, k = 500 / 25 = 20. The researcher selects a random starting number between 1 and 20, then picks every 20th person thereafter.
5A secondary school has 600 Form 4 students and 400 Form 5 students. If a stratified sample of 50 students is to be selected proportional to year group size, how many Form 4 students should be chosen?
A.20
B.25
C.30
D.35
Explanation: Total school population N = 600 + 400 = 1000. The proportion of Form 4 students is 600 / 1000 = 0.60. For a proportional stratified sample of size n = 50, the number of Form 4 students selected is 0.60 × 50 = 30 students.
6A company has three departments: Sales (120 staff), IT (180 staff), and Operations (300 staff). A proportional stratified sample of 60 staff members is taken. How many staff should be sampled from the IT department?
A.12
B.18
C.20
D.30
Explanation: Total staff N = 120 + 180 + 300 = 600. The fraction of IT staff is 180 / 600 = 0.30. In a sample of 60 staff members, the number of IT staff selected is 0.30 × 60 = 18 staff members.
7What is a main disadvantage of quota sampling compared to stratified random sampling?
A.Quota sampling requires a complete sampling frame of the entire population
B.Quota sampling introduces interviewer bias because participants within quotas are chosen non-randomly
C.Quota sampling is always significantly more expensive to conduct
D.Quota sampling cannot be used when the population is divided into distinct subgroups
Explanation: Unlike stratified sampling where individuals within each stratum are chosen randomly using a sampling frame, quota sampling relies on interviewers selecting whoever is available until quotas are met. This convenience aspect introduces interviewer selection bias and prevents the calculation of sampling error margin.
8A postal questionnaire regarding local bus services was sent to 1,000 households, but only 80 responses were received. What type of statistical bias is most prominent here?
A.Measurement error
B.Non-response bias
C.Interviewer bias
D.Sampling frame duplication
Explanation: Non-response bias occurs when a significant portion of the selected sample fails to respond to a survey, and non-responders differ systematically from responders (for example, frequent bus users may be much more likely to respond than non-users). A 8% response rate creates high risk of invalid conclusions.
9Which type of question design in a questionnaire allows respondents to express their thoughts freely in their own words?
A.Multiple-choice question
B.Open-ended question
C.Closed-ended question
D.Dichotomous question
Explanation: Open-ended questions provide a blank space for respondents to answer freely in their own words, yielding rich qualitative insights. Closed-ended, multiple-choice, and dichotomous (yes/no) questions restrict respondents to pre-determined answer options, making quantitative coding easier.
10Why might a manufacturer test a sample of lightbulbs for operational lifespan instead of conducting a complete census of all bulbs produced?
A.Lifespan testing is destructive, so testing the full census would leave no bulbs available to sell
B.Sample testing guarantees 100% precision with zero sampling error
C.A census is legally prohibited for quality control testing in manufacturing
D.Testing a sample takes longer than testing the entire population
Explanation: When testing involves destructive processes (such as burning lightbulbs until failure or crash testing vehicles), conducting a census would destroy the entire product inventory. Testing a representative sample balances quality verification with commercial viability.
About the BGCSE Statistics 4040 Practice Questions
Verified exam format metadata for Botswana BGCSE Statistics (Syllabus 4040) is pending. The practice questions above remain available while official exam length, timing, passing score, fee, and administrator details are reviewed.