All Free Statistics MCQs with Answers
Every Statistics question in the bank, across all chapters, each with the correct answer and a written explanation. Free and unlimited, with no account needed.
545 questions · page 52 of 55
511. The probability of a save event is equal to _________________?
- A. Two
- B. Three
- C. Four
- D. One
Explanation: A sure event always occurs, so its probability is 1. The word “save” is evidently intended to be “sure.”
Correct answer: One512. The basic random numbers are ________________?
- A. 0 and 1
- B. 0,1,2,............9
- C. 1,2,3....10
- D. None of these
Explanation: Basic random digits are the ten digits from 0 through 9, commonly used to construct random numbers for sampling and simulation.
Correct answer: 0,1,2,............9513. Probability of occurrence of an event lies between______________?
- A. -1 and 0
- B. 0 and 1
- C. -1 and 1
- D. exactly 1
Explanation: A probability cannot be negative or exceed certainty, so it ranges from 0 to 1, including both endpoints. The value 0 means impossibility and 1 means certainty.
Correct answer: 0 and 1514. In stratified sampling the strata should be _________?
- 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: Nonoverlapped515. Another name of word population is_________?
- 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: Universe516. Determining sample size for stratum is problem of___________?
- 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: Allocation517. Collection of information from complete population is called__________?
- 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 & B518. Sampling error cannot occur in__________?
- 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: Census519. Which sampling procedure we prefer if population is heterogenous?
- 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 sampling520. Which sampling technique is appropriate when there is homogeneity in population?
- 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