Statistics MCQs
Statistics MCQs cover probability, sampling, hypothesis testing, correlation, regression, and data interpretation. Ideal for CSS, NTS, PMS, GAT, and university exams, they boost conceptual understanding, analytical skills, and real-world statistical application.
Q: A normal distribution is fully described by
A) Median and range
B) Mean and median
C) Mean and standard deviation
D) Mean and mode
✅ Correct Answer: C
Explanation: A normal distribution is characterized by its mean and standard deviation.
Q: The empirical rule states that in a normal distribution about 68% of data falls within
A) 4 SD
B) 2 SD
C) 1 SD
D) 3 SD
✅ Correct Answer: C
Explanation: The empirical rule says approximately 68% of values fall within one standard deviation of the mean.
Q: The expected value of a random variable represents
A) Maximum value
B) Average outcome
C) Most frequent value
D) Spread
✅ Correct Answer: B
Explanation: Expected value is the theoretical average of all possible outcomes.
Q: The sum of squared deviations from the mean is minimized by the
A) Mode
B) Median
C) Range
D) Mean
✅ Correct Answer: D
Explanation: The mean minimizes the sum of squared deviations in a data set.
Q: Probability of A or B when events are not mutually exclusive
A) P(A) + P(B) – P(A∩B)
B) P(A) + P(B)
C) P(A) ÷ P(B)
D) P(A) × P(B)
✅ Correct Answer: A
Explanation: The formula accounts for the overlap between events to avoid double counting.