STRAIGHTERLINE INTRODUCTION TO
STATISTICS ADVANCED QUESTIONS
AND ANSWERS 2027
1. Which of the following measures of central tendency is most sensitive to extreme outliers?
A. Median
B. Mode
C. Mean
D. Interquartile range
Answer: C
Conceptual Explanation: The mean uses every value in the dataset, making it heavily
influenced by extremely high or low outliers.
2. If the correlation coefficient (r) between two variables is -0.85, what can be concluded?
A. Weak negative linear relationship
B. No linear relationship
C. Strong negative linear relationship
D. Strong positive linear relationship
,Answer: C
Conceptual Explanation: An r value close to -1 indicates a strong negative linear
association.
3. In a positively skewed distribution, which of the following is typically true?
A. Mean < Median < Mode
B. Mean = Median = Mode
C. Mode < Median < Mean
D. Median < Mode < Mean
Answer: C
Conceptual Explanation: In a right-skewed distribution, the mean is pulled out to the
right, making it greater than the median, which is greater than the mode.
4. What does a Type I error represent in hypothesis testing?
A. Failing to reject a true null hypothesis
B. Failing to reject a false null hypothesis
C. Rejecting a false null hypothesis
D. Rejecting a true null hypothesis
Answer: D
, Conceptual Explanation: A Type I error occurs when the researcher rejects the null
hypothesis even though it is actually true.
5. What is the probability of the complement of an event A, denoted as A’, if P(A) = 0.35?
A. 0.35
B. 0.00
C. 1.00
D. 0.65
Answer: D
Conceptual Explanation: The sum of the probabilities of an event and its complement
equals 1. Therefore, P(A’) = 1 - 0.35 = 0.65.
6. Which sampling method divides the population into mutually exclusive groups and then
takes a simple random sample from every group?
A. Systematic sampling
B. Cluster sampling
C. Convenience sampling
D. Stratified random sampling
Answer: D
Conceptual Explanation: Stratified sampling involves dividing the population into
homogeneous strata and sampling randomly from each one.
STATISTICS ADVANCED QUESTIONS
AND ANSWERS 2027
1. Which of the following measures of central tendency is most sensitive to extreme outliers?
A. Median
B. Mode
C. Mean
D. Interquartile range
Answer: C
Conceptual Explanation: The mean uses every value in the dataset, making it heavily
influenced by extremely high or low outliers.
2. If the correlation coefficient (r) between two variables is -0.85, what can be concluded?
A. Weak negative linear relationship
B. No linear relationship
C. Strong negative linear relationship
D. Strong positive linear relationship
,Answer: C
Conceptual Explanation: An r value close to -1 indicates a strong negative linear
association.
3. In a positively skewed distribution, which of the following is typically true?
A. Mean < Median < Mode
B. Mean = Median = Mode
C. Mode < Median < Mean
D. Median < Mode < Mean
Answer: C
Conceptual Explanation: In a right-skewed distribution, the mean is pulled out to the
right, making it greater than the median, which is greater than the mode.
4. What does a Type I error represent in hypothesis testing?
A. Failing to reject a true null hypothesis
B. Failing to reject a false null hypothesis
C. Rejecting a false null hypothesis
D. Rejecting a true null hypothesis
Answer: D
, Conceptual Explanation: A Type I error occurs when the researcher rejects the null
hypothesis even though it is actually true.
5. What is the probability of the complement of an event A, denoted as A’, if P(A) = 0.35?
A. 0.35
B. 0.00
C. 1.00
D. 0.65
Answer: D
Conceptual Explanation: The sum of the probabilities of an event and its complement
equals 1. Therefore, P(A’) = 1 - 0.35 = 0.65.
6. Which sampling method divides the population into mutually exclusive groups and then
takes a simple random sample from every group?
A. Systematic sampling
B. Cluster sampling
C. Convenience sampling
D. Stratified random sampling
Answer: D
Conceptual Explanation: Stratified sampling involves dividing the population into
homogeneous strata and sampling randomly from each one.
