MATH 110 MODULE FINAL EXAM -
STATISTICS COMPREHENSIVE
ASSESSMENT 2026/2027 UPDATE. JUST
RELEASED
1. A dataset with a mean of 50 and a standard deviation of 10 is transformed by multiplying
every value by 2 and then adding 5. What is the new standard deviation?
A. 25
B. 10
C. 20
D. 15
Answer: C
Conceptual Explanation: Adding a constant does not change measures of spread, but
multiplying by a constant multiplies the standard deviation by that constant (10 * 2 = 20).
2. Which of the following conditions is NOT required for a distribution to be considered a
Binomial distribution?
A. The trials must be independent.
B. The probability of success changes with each trial.
C. There are a fixed number of trials.
,D. Each trial has only two possible outcomes.
Answer: B
Conceptual Explanation: For a binomial distribution, the probability of success (p) must
remain constant across all trials.
3. In a right-skewed distribution, which relationship between the mean, median, and mode is
typically true?
A. Mean < Median < Mode
B. Median < Mode < Mean
C. Mean = Median = Mode
D. Mode < Median < Mean
Answer: D
Conceptual Explanation: In a right-skewed distribution, the tail pulls the mean to the
right, making it larger than the median, which is larger than the mode.
4. If the correlation coefficient (r) between two variables is -0.85, what does this indicate
about the relationship?
A. A weak negative linear relationship
B. A strong negative linear relationship
C. A strong positive linear relationship
D. No linear relationship exists
, Answer: B
Conceptual Explanation: A value of -0.85 indicates a strong magnitude (near 1.0) and a
negative direction.
5. According to the Central Limit Theorem, the sampling distribution of the sample mean will
be approximately normal if:
A. Both A and B are correct.
B. The sample size is large (typically n >= 30).
C. The population standard deviation is known.
D. The population distribution is normal regardless of sample size.
Answer: A
Conceptual Explanation: The CLT states that for large n, the distribution is normal;
additionally, if the parent population is normal, the sampling distribution is always normal.
6. A 95% confidence interval for a population mean is calculated as (45, 55). What is the
correct interpretation?
A. We are 95% confident that the population mean falls within this interval.
B. 95% of the data points in the population fall between 45 and 55.
C. There is a 95% probability that the population mean is between 45 and 55.
D. 95% of all sample means will fall between 45 and 55.
Answer: A
STATISTICS COMPREHENSIVE
ASSESSMENT 2026/2027 UPDATE. JUST
RELEASED
1. A dataset with a mean of 50 and a standard deviation of 10 is transformed by multiplying
every value by 2 and then adding 5. What is the new standard deviation?
A. 25
B. 10
C. 20
D. 15
Answer: C
Conceptual Explanation: Adding a constant does not change measures of spread, but
multiplying by a constant multiplies the standard deviation by that constant (10 * 2 = 20).
2. Which of the following conditions is NOT required for a distribution to be considered a
Binomial distribution?
A. The trials must be independent.
B. The probability of success changes with each trial.
C. There are a fixed number of trials.
,D. Each trial has only two possible outcomes.
Answer: B
Conceptual Explanation: For a binomial distribution, the probability of success (p) must
remain constant across all trials.
3. In a right-skewed distribution, which relationship between the mean, median, and mode is
typically true?
A. Mean < Median < Mode
B. Median < Mode < Mean
C. Mean = Median = Mode
D. Mode < Median < Mean
Answer: D
Conceptual Explanation: In a right-skewed distribution, the tail pulls the mean to the
right, making it larger than the median, which is larger than the mode.
4. If the correlation coefficient (r) between two variables is -0.85, what does this indicate
about the relationship?
A. A weak negative linear relationship
B. A strong negative linear relationship
C. A strong positive linear relationship
D. No linear relationship exists
, Answer: B
Conceptual Explanation: A value of -0.85 indicates a strong magnitude (near 1.0) and a
negative direction.
5. According to the Central Limit Theorem, the sampling distribution of the sample mean will
be approximately normal if:
A. Both A and B are correct.
B. The sample size is large (typically n >= 30).
C. The population standard deviation is known.
D. The population distribution is normal regardless of sample size.
Answer: A
Conceptual Explanation: The CLT states that for large n, the distribution is normal;
additionally, if the parent population is normal, the sampling distribution is always normal.
6. A 95% confidence interval for a population mean is calculated as (45, 55). What is the
correct interpretation?
A. We are 95% confident that the population mean falls within this interval.
B. 95% of the data points in the population fall between 45 and 55.
C. There is a 95% probability that the population mean is between 45 and 55.
D. 95% of all sample means will fall between 45 and 55.
Answer: A
