If the population is normally distributed, when is the sampling distribution of the sample mean also normal?
Correct answer A. Always
Topic / 37 questions
Sampling MCQs
Sampling MCQs cover the methods used to select part of a population for study and the errors and distributions that come with them. They suit statistics students and job-test candidates, and each question shows the correct answer right after you choose an option, so you learn as you practise.
In sampling without replacement, how many times can a sampling unit be selected?
Correct answer A. Only once
What are the smallest individual elements that make up the entire population called?
Correct answer B. Sampling units
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How many basic types of probability sampling are there?
Correct answer A. Four
In probability sampling, each sampling unit has a ____ chance of selection. Which word fills the blank?
Correct answer A. Known
What name is given to the standard deviation of the sampling distribution of a statistic?
Correct answer A. Standard error
What is the difference between a statistic and the corresponding parameter called?
Correct answer B. Sampling error
Random samples of size 17 are taken from a population of 200 elements with mean 36 and standard deviation 8. Which statement best describes the shape of the sampling distribution of the sample mean?
Correct answer D. None of these alternatives is correct
A sample of 24 is drawn from a population of 150 elements. The sampling distribution of x̄ is?
Correct answer A. Normal if the population is normally distributed
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What does a sample estimate describe a characteristic of?
Correct answer D. Population
What is meant by the sampling error?
Correct answer A. Difference between the value of the sample mean and the value of the population mean
Which of the following cannot be done by sampling?
Correct answer C. To make voters lists
What is needed to prepare the voters’ lists in Pakistan?
Correct answer D. Census
If the sample size is 25, what condition is needed for the sampling distribution of x̄ to be normal?
Correct answer D. Population distribution is normal
How are non-sampling errors reduced?
Correct answer B. Reducing the amount of data
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How can sampling error be reduced?
Correct answer A. Increasing the sample size
What is the process of selecting a sample from a population called?
Correct answer D. Sampling
The factor (N − n)/(N − 1) is known as the ____ population correction. Which word fills the blank?
Correct answer D. Finite
What is the probability distribution of a statistic called?
Correct answer C. Sampling distribution
When students pick which questions to attempt in an exam paper, what kind of selection is this?
Correct answer B. Non-random sampling
About Sampling MCQs
This topic explains how researchers draw conclusions about a population from a smaller sample. Questions compare probability methods, such as simple random, stratified, systematic and cluster sampling, with non-probability methods like convenience and quota sampling. You will see items on dividing a heterogeneous population into homogeneous strata, the meaning of sampling error as the difference between a sample statistic and the population parameter, and how increasing sample size reduces that error. Sampling distribution questions test assumptions about sample size and the central limit theorem. These ideas appear in statistics, economics and research methods papers.
Exams that include Sampling MCQs
Pakistan
- PPSC
- FPSC
- Lecturer tests
- NTS
- PMS
India
- UGC NET
- SSC CGL
- State PSC exams
Bangladesh
- BCS
- Bangladesh Bank recruitment
- Government job tests
Frequently asked questions
What is the difference between stratified and cluster sampling?
In stratified sampling, the population is divided into homogeneous groups called strata and a sample is drawn from every stratum. In cluster sampling, the population is divided into groups, usually by area, and whole clusters are selected at random. Stratified sampling improves precision, while cluster sampling mainly reduces cost.
How can sampling error be reduced?
Sampling error can be reduced mainly by increasing the sample size, since larger samples tend to give estimates closer to the population value. Using a suitable design, such as stratified sampling for a varied population, also helps. Sampling error cannot be removed completely unless the whole population is studied.
How many Sampling MCQs are on MCQs360?
MCQs360 has 39 Sampling MCQs in its Statistics section. All are free to attempt without an account, and the answer to each appears instantly, so you can check sampling methods and definitions quickly during revision.
Last reviewed October 2026