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: Mean of the data set 3, 5, 7, 9, 11
A) 9
B) 7
C) 6
D) 5
✅ Correct Answer: C
Explanation: The mean is the sum of values divided by the number of values: (3+5+7+9+11)/5 = 35/5 = 7.
Q: The measure unaffected by extreme values
A) Mode
B) Mean
C) Range
D) Median
✅ Correct Answer: D
Explanation: Median is resistant to outliers as it represents the middle value.
Q: Most frequently occurring value in a dataset
A) Mean
B) Median
C) Mode
D) Range
✅ Correct Answer: C
Explanation: Mode is the value that appears most often in a data set.
Q: A bell-shaped curve is associated with
A) Normal distribution
B) Uniform distribution
C) Poisson distribution
D) Binomial distribution
✅ Correct Answer: A
Explanation: A normal distribution is symmetric and bell-shaped.
Q: The median of 7, 3, 5, 9, 1 after arranging is
A) 7
B) 3
C) 5
D) 9
✅ Correct Answer: C
Explanation: Ordered data: 1, 3, 5, 7, 9; the middle value is 5.
Q: A graph that shows frequency distribution
A) Histogram
B) Line graph
C) Pie chart
D) Scatter plot
✅ Correct Answer: A
Explanation: Histogram displays the distribution of numerical data.
Q: Sum of all probabilities in a discrete distribution
A) 0
B) 2
C) 0.5
D) 1
✅ Correct Answer: D
Explanation: In any probability distribution, the total probability is always 1.
Q: The probability of an impossible event
A) 0.5
B) 0
C) 1
D) Undefined
✅ Correct Answer: B
Explanation: An impossible event has a probability of zero.
Q: Interquartile range measures
A) Average
B) Accuracy
C) Central tendency
D) Dispersion
✅ Correct Answer: D
Explanation: Interquartile range represents the spread of the middle 50% of data.
Q: Population parameter example
A) Sample proportion
B) Population mean
C) Sample variance
D) Sample mean
✅ Correct Answer: B
Explanation: Population mean is a parameter, while others are sample statistics.