Free Sampling and Sampling Distributions MCQs with Answers

32 Sampling and Sampling Distributions MCQs from Statistics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.

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32 questions · page 1 of 4

1. In stratified sampling the strata should be _________?

Moderate
  • A. Nonoverlapped
  • B. Overlapped
  • C. Same
  • D. Not equal

Explanation: Strata must not overlap so that each population member belongs to one and only one stratum. They should also collectively cover the target population, although that condition is not listed.

Correct answer: Nonoverlapped

2. Another name of word population is_________?

Moderate
  • A. Individuals
  • B. Whole
  • C. Universe
  • D. None of these

Explanation: In statistics, population means the complete set of units under study, so it is also called the universe. Individuals are the units that make up a population, not a synonym for it.

Correct answer: Universe

3. Determining sample size for stratum is problem of___________?

Moderate
  • A. Sampling
  • B. Allocation
  • C. Estimate
  • D. Population

Explanation: Allocation determines how the total sample is distributed among different strata. Sampling is the broader process, while estimation uses the collected sample to infer population characteristics.

Correct answer: Allocation

4. Collection of information from complete population is called__________?

Moderate
  • A. Census
  • B. Complete enumeration
  • C. Survey
  • D. Both A & B

Explanation: Collecting information from every unit of a population is called a census or complete enumeration. Therefore, both options A and B describe the same procedure.

Correct answer: Both A & B

5. Sampling error cannot occur in__________?

Moderate
  • A. Survey
  • B. Sampling
  • C. Census
  • D. None of these

Explanation: Sampling error results from studying a sample instead of the entire population. A census includes every population unit, so sampling error does not arise.

Correct answer: Census

6. Which sampling procedure we prefer if population is heterogenous?

Moderate
  • A. Cluster sampling
  • B. Stratified sampling
  • C. Simple random sampling
  • D. None of theseMarketing

Explanation: Stratified sampling is preferred for a heterogeneous population because it divides the population into relatively homogeneous strata and samples from each one. This improves representation of important subgroups.

Correct answer: Stratified sampling

7. Which sampling technique is appropriate when there is homogeneity in population?

Moderate
  • A. Simple random sampling
  • B. Stratified sampling
  • C. Cluster sampling
  • D. Systematic sampling

Explanation: When population units are reasonably homogeneous, a simple random sample can represent the population without separate subgroup sampling. Stratified sampling is mainly used to handle important heterogeneity.

Correct answer: Simple random sampling

8. Which sampling method we will apply if there is no sampling frame?

Moderate
  • A. Systematic sampling
  • B. Cluster sampling
  • C. Simple random sampling
  • D. Stratified samplingDemographics

Explanation: Cluster sampling is commonly used when an individual-level sampling frame is unavailable but natural groups or geographic areas can be identified. The clusters then serve as the practical sampling units.

Correct answer: Cluster sampling

9. Cluster sampling is useful when sampling units are__________?

Moderate
  • A. Close another
  • B. Far a part
  • C. Mixed
  • D. None of these

Explanation: Cluster sampling is useful when individual units are geographically far apart, because selecting whole clusters reduces travel and fieldwork costs. The wording means the units are spread over a wide area.

Correct answer: Far a part

10. condition for applying Central Limit Theorem (CLT) which approximate the sampling distribution of the mean with a normal distribution is ?

Moderate
  • A. n > 30
  • B. N(1 - p) > 5
  • C. 2 n 5
  • D. N < 30

Explanation: A common rule of thumb is that n greater than 30 makes the sampling distribution of the mean approximately normal, especially when the population is not strongly nonnormal. The exact requirement depends on the population shape, but option a is the intended guideline.

Correct answer: n > 30

Sampling and Sampling Distributions MCQs: common questions

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