All Free Statistics MCQs with Answers

• A. 26/52=1/2
• B. 13/52
• C. 20/52
• D. 12/52

Explanation: A standard deck has 13 diamonds and 13 clubs, and these suits do not overlap.

• A. Equal sets
• B. Over lapping sets
• C. Non- overlapping sets
• D. None of these

Explanation: A person cannot be both male and female under the categories stated, so the two sets have no common elements.

• A. 0.05
• B. 0.75
• C. 0.8
• D. 0.45

Explanation: Using P(B|A)=P(A∩B)/P(A), substitute 0.25=0.2/P(A). Rearranging gives P(A)=0.2/0.25=0.8.

• A. 1/2
• B. 1
• C. 2/3
• D. 1/3

Explanation: Since the two possible outcomes exhaust the probability, P(H)+P(T)=1. Substituting P(T)=2P(H) gives 3P(H)=1, so P(H)=1/3.

• A. 1/4
• B. 2/4
• C. 3/4
• D. 4/4

Explanation: With two balanced coins, the equally likely outcomes are HH, HT, TH and TT.

• A. 13/52
• B. 1/2
• C. 4/52
• D. 0

Explanation: A standard deck has 13 diamond cards among 52 cards. Therefore, the probability of drawing a diamond is 13/52, which simplifies to 1/4.

• A. Four
• B. Three
• C. Two
• D. One

Explanation: A probability experiment has two key features: its possible outcomes are specified, but the particular outcome cannot be predicted with…

• A. Random
• B. Raw data
• C. Introduce
• D. Specified

Explanation: An experiment whose outcome is uncertain and which can be repeated under similar conditions is called a random experiment.

• A. Events
• B. Subset
• C. Piont
• D. Distinct

Explanation: A sample space is the set or list of all possible sample points, or outcomes, of an experiment.

• A. 6 outcomes
• B. 24 outcomes
• C. 216 outcomes
• D. Non of these

Explanation: Each of the three dice has 6 possible outcomes, and the choices combine independently.

• 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.”

• 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.

• 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.

• 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.

• 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.

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

Explanation: Allocation determines how the total sample is distributed among different strata.

• 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.

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

Explanation: Sampling error results from studying a sample instead of the entire population.

• 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…

• 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.