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: Outlier in a boxplot is represented by
A) Dots beyond whiskers
B) Box end
C) Whiskers
D) Midline
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Correct Answer: A
Explanation: Outliers appear as individual dots beyond the whiskers in a boxplot.
Q: If the mean is greater than the median, the distribution is
A) Uniform
B) Negatively skewed
C) Symmetric
D) Positively skewed
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Correct Answer: D
Explanation: When the mean is larger than the median, the distribution is positively skewed.
Q: Central Limit Theorem applies when sample size is
A) Large
B) Unknown
C) Small
D) Fixed at 10
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Correct Answer: A
Explanation: Central Limit Theorem states that the sampling distribution of the mean becomes normal as sample size increases.
Q: Probability of selecting an ace from a standard deck
A) 1/26
B) 1/13
C) 1/4
D) 4/13
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Correct Answer: B
Explanation: There are 4 aces in a 52-card deck, so the probability is 4/52 = 1/13.
Q: The variance of a constant value is always
A) Undefined
B) 0
C) 1
D) Equal to mean
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Correct Answer: B
Explanation: Variance measures spread, and if all values are the same, spread is zero.
Q: The symbol ฮผ represents
A) Median
B) Population mean
C) Sample mean
D) Sample variance
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Correct Answer: B
Explanation: The Greek letter ฮผ denotes the population mean in statistics.
Q: Standard error decreases when
A) Sample size increases
B) Variance increases
C) Sample is biased
D) Mean increases
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Correct Answer: A
Explanation: As sample size increases, standard error (variability of sample mean) decreases.
Q: Skewness measures
A) Symmetry
B) Central tendency
C) Frequency
D) Spread
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Correct Answer: A
Explanation: Skewness indicates the asymmetry of a data distribution.
Q: A hypothesis is tested to
A) Make predictions
B) Prove a theory
C) Make a statistical decision
D) Estimate a parameter
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Correct Answer: C
Explanation: Hypothesis testing determines if a claim about a population is supported by sample data.
Q: Discrete variables take
A) Only integers
B) Infinite values
C) Fixed distinct values
D) Only decimals
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Correct Answer: C
Explanation: Discrete variables have countable values, such as number of students.