STRAIGHTERLINE INTRODUCTION TO
STATISTICS ADVANCED QUESTIONS
WITH VERIFIED ANSWERS
1. Which of the following measures of central tendency is most sensitive to extreme outliers
in a dataset?
A. Median
B. Mode
C. Mean
D. Interquartile range
Answer: C
Conceptual Explanation: The mean takes every value into account and is therefore
heavily influenced by extreme outliers, whereas the median and mode are more robust.
2. In a positively skewed distribution, what is the typical relationship between the mean,
median, and mode?
A. Mode < Median < Mean
B. Mean < Median < Mode
C. Mean = Median = Mode
,D. Median < Mode < Mean
Answer: A
Conceptual Explanation: In a positively skewed distribution, the long tail extends to the
right, pulling the mean in that direction, making the order from smallest to largest: Mode,
Median, Mean.
3. What does a correlation coefficient (r) of -0.85 indicate about the relationship between
two variables?
A. A strong negative linear relationship
B. A weak negative linear relationship
C. A weak positive linear relationship
D. No linear relationship
Answer: A
Conceptual Explanation: The sign indicates the direction (negative), and the magnitude
(close to -1) indicates a strong linear relationship.
4. If the probability of an event A is 0.35, what is the probability of the complement of A?
A. 0.65
B. 0.35
C. 1.00
D. -0.35
, Answer: A
Conceptual Explanation: The complement rule states that P(A’) = 1 - P(A). Therefore, 1 -
0.35 = 0.65.
5. Which probability distribution is typically used to model the number of successes in a fixed
number of independent Bernoulli trials?
A. Normal distribution
B. Poisson distribution
C. Binomial distribution
D. Exponential distribution
Answer: C
Conceptual Explanation: The binomial distribution describes the number of successes in
n independent yes/no trials, each with success probability p.
6. What is the primary purpose of conducting an ANOVA (Analysis of Variance) test?
A. To compare the means of two or more independent populations
B. To test for independence between two categorical variables
C. To determine the slope of a regression line
D. To test the variance of a single sample against a known value
Answer: A
STATISTICS ADVANCED QUESTIONS
WITH VERIFIED ANSWERS
1. Which of the following measures of central tendency is most sensitive to extreme outliers
in a dataset?
A. Median
B. Mode
C. Mean
D. Interquartile range
Answer: C
Conceptual Explanation: The mean takes every value into account and is therefore
heavily influenced by extreme outliers, whereas the median and mode are more robust.
2. In a positively skewed distribution, what is the typical relationship between the mean,
median, and mode?
A. Mode < Median < Mean
B. Mean < Median < Mode
C. Mean = Median = Mode
,D. Median < Mode < Mean
Answer: A
Conceptual Explanation: In a positively skewed distribution, the long tail extends to the
right, pulling the mean in that direction, making the order from smallest to largest: Mode,
Median, Mean.
3. What does a correlation coefficient (r) of -0.85 indicate about the relationship between
two variables?
A. A strong negative linear relationship
B. A weak negative linear relationship
C. A weak positive linear relationship
D. No linear relationship
Answer: A
Conceptual Explanation: The sign indicates the direction (negative), and the magnitude
(close to -1) indicates a strong linear relationship.
4. If the probability of an event A is 0.35, what is the probability of the complement of A?
A. 0.65
B. 0.35
C. 1.00
D. -0.35
, Answer: A
Conceptual Explanation: The complement rule states that P(A’) = 1 - P(A). Therefore, 1 -
0.35 = 0.65.
5. Which probability distribution is typically used to model the number of successes in a fixed
number of independent Bernoulli trials?
A. Normal distribution
B. Poisson distribution
C. Binomial distribution
D. Exponential distribution
Answer: C
Conceptual Explanation: The binomial distribution describes the number of successes in
n independent yes/no trials, each with success probability p.
6. What is the primary purpose of conducting an ANOVA (Analysis of Variance) test?
A. To compare the means of two or more independent populations
B. To test for independence between two categorical variables
C. To determine the slope of a regression line
D. To test the variance of a single sample against a known value
Answer: A
