Statistics MCQs

Statistics MCQs serve as an essential tool for students, researchers, and exam candidates to understand and master the fundamentals of statistical analysis. This category features a rich set of multiple-choice questions covering topics such as probability, sampling, hypothesis testing, measures of central tendency and dispersion, correlation, regression, and data interpretation. These MCQs are ideal for test preparations including CSS, NTS, PMS, GAT, university entrance exams, and job recruitment tests where statistical knowledge is tested. The questions range from basic theory to practical problem-solving scenarios, allowing learners to evaluate and enhance their conceptual understanding. Practicing regularly not only strengthens your analytical skills but also prepares you to apply statistical techniques in real-world contexts. This category is particularly useful for students in social sciences, economics, business, and research-based programs. Improve your statistical thinking by solving our curated Statistics MCQs.

Q: Sampling method giving equal chance to all
A) Quota sampling
B) Judgement sampling
C) Convenience sampling
D) Random sampling
βœ… Correct Answer: D
Explanation: Random sampling ensures each member has an equal chance of selection.
Q: An event certain to occur has a probability of
A) 0.5
B) 0
C) 1
D) Depends on sample
βœ… Correct Answer: C
Explanation: A certain event has probability 1.
Q: Dispersion is zero when
A) All values are different
B) All values are zero
C) All values are negative
D) All values are equal
βœ… Correct Answer: D
Explanation: When values are equal, there’s no variation, so dispersion is zero.
Q: The area under the normal curve equals
A) Ο€
B) 1
C) 2
D) 0.5
βœ… Correct Answer: B
Explanation: The total area under the normal distribution curve is always 1.
Q: Central Limit Theorem states the sampling distribution of the sample mean approaches normality as
A) Mean changes
B) Population increases
C) Sample size decreases
D) Sample size increases
βœ… Correct Answer: D
Explanation: As sample size increases, the distribution of the sample mean becomes normal.
Q: The midpoint of a class interval is called
A) Class width
B) Class frequency
C) Class mark
D) Class limit
βœ… Correct Answer: C
Explanation: Class mark is calculated as the average of upper and lower limits.
Q: Data collected from a census is
A) Secondary
B) Estimated
C) Grouped
D) Primary
βœ… Correct Answer: D
Explanation: Census involves collecting primary data from every member of a population.
Q: A frequency distribution with two peaks is called
A) Uniform
B) Skewed
C) Normal
D) Bimodal
βœ… Correct Answer: D
Explanation: A bimodal distribution has two distinct peaks in the data set.
Q: When outcomes are equally likely, the probability of an event is
A) 1/n
B) n
C) Undefined
D) 0
βœ… Correct Answer: A
Explanation: Probability is 1 divided by the number of equally likely outcomes.
Q: A box plot is used to display
A) Probabilities
B) Categorical data
C) Spread and center
D) Line relationships
βœ… Correct Answer: C
Explanation: A box plot shows median, quartiles, and possible outliers.