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: In hypothesis testing, the null hypothesis represents
A) An error
B) A bias
C) A claim to be tested
D) An alternative
✅ Correct Answer: C
Explanation: The null hypothesis is the assumption we attempt to test or disprove.
Q: The shape of a distribution where the mean equals the median and mode
A) Left-skewed
B) Symmetrical
C) U-shaped
D) Right-skewed
✅ Correct Answer: B
Explanation: When all measures of central tendency are equal, the distribution is symmetrical.
Q: An example of discrete data
A) Number of students
B) Temperature
C) Height
D) Weight
✅ Correct Answer: A
Explanation: Discrete data represents countable values, like number of students.
Q: The level of measurement that categorizes data without order
A) Ordinal
B) Nominal
C) Ratio
D) Interval
✅ Correct Answer: B
Explanation: Nominal scale is used for labeling variables without any quantitative value.
Q: A test statistic follows which type of distribution in a Z-test
A) Poisson
B) Normal
C) Binomial
D) Chi-square
✅ Correct Answer: B
Explanation: A Z-test uses the standard normal distribution under large sample assumptions.
Q: The number of observations divided by the number of classes gives
A) Class boundary
B) Class width
C) Frequency
D) Midpoint
✅ Correct Answer: B
Explanation: Class width is calculated as total range divided by the number of classes.
Q: A scatter plot is best used to examine
A) Mean
B) Correlation
C) Frequency
D) Causation
✅ Correct Answer: B
Explanation: Scatter plots visually display relationships or correlations between two variables.
Q: Confidence level of 95% means
A) Result is always accurate
B) Interval includes the true parameter in 95% of cases
C) 95% data is correct
D) 5% chance of error
✅ Correct Answer: B
Explanation: A 95% confidence level means the interval will contain the population parameter in 95% of repeated samples.
Q: Coefficient of variation is calculated as
A) Standard deviation × Variance
B) Standard deviation/Mean
C) Mean/Standard deviation
D) Mean × Standard deviation
✅ Correct Answer: B
Explanation: Coefficient of variation is the ratio of standard deviation to mean, often expressed as a percentage.
Q: If events A and B are mutually exclusive, their joint probability is
A) 0.5
B) 1
C) 0
D) Undefined
✅ Correct Answer: C
Explanation: Mutually exclusive events cannot happen together, so their joint probability is zero.