WGU C784 APPLIED PROBABILITY AND
STATISTICS FINAL EXAM PREP
2026/2027
1. A researcher divides a population into groups based on age and then randomly selects a
proportionate number of individuals from each group. Which sampling method is being used?
A. Stratified Random Sampling
B. Systematic Sampling
C. Cluster Sampling
D. Convenience Sampling
Answer: A
Conceptual Explanation: Stratified random sampling involves dividing the population
into subgroups (strata) and sampling from each to ensure representation.
2. Which of the following describes a ‘Statistic’ as opposed to a ‘Parameter’?
A. A numerical measurement describing a characteristic of a sample.
B. A numerical measurement describing a characteristic of a population.
C. The entire collection of all individuals to be studied.
,D. A variable that can take on any value in a range.
Answer: A
Conceptual Explanation: A statistic describes a sample, whereas a parameter describes a
population.
3. A dataset has a mean of 50 and a standard deviation of 0. If every value in the dataset is
increased by 5, what is the new standard deviation?
A. 5
B. 0
C. 55
D. 10
Answer: B
Conceptual Explanation: Standard deviation measures spread. Adding a constant to all
values shifts the mean but does not change the spread/dispersion.
4. In a right-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 tail pulls the mean to the
right, making it larger than the median and mode.
5. Which variable type is ‘Number of cars in a parking lot’?
A. Qualitative
B. Continuous Quantitative
C. Ordinal
D. Discrete Quantitative
Answer: D
Conceptual Explanation: It is quantitative because it represents a count, and discrete
because you cannot have a fraction of a car.
6. If events A and B are independent, and P(A) = 0.3 and P(B) = 0.4, what is P(A and B)?
A. 0.7
B. 0.12
C. 0.1
D. 0.75
Answer: B
STATISTICS FINAL EXAM PREP
2026/2027
1. A researcher divides a population into groups based on age and then randomly selects a
proportionate number of individuals from each group. Which sampling method is being used?
A. Stratified Random Sampling
B. Systematic Sampling
C. Cluster Sampling
D. Convenience Sampling
Answer: A
Conceptual Explanation: Stratified random sampling involves dividing the population
into subgroups (strata) and sampling from each to ensure representation.
2. Which of the following describes a ‘Statistic’ as opposed to a ‘Parameter’?
A. A numerical measurement describing a characteristic of a sample.
B. A numerical measurement describing a characteristic of a population.
C. The entire collection of all individuals to be studied.
,D. A variable that can take on any value in a range.
Answer: A
Conceptual Explanation: A statistic describes a sample, whereas a parameter describes a
population.
3. A dataset has a mean of 50 and a standard deviation of 0. If every value in the dataset is
increased by 5, what is the new standard deviation?
A. 5
B. 0
C. 55
D. 10
Answer: B
Conceptual Explanation: Standard deviation measures spread. Adding a constant to all
values shifts the mean but does not change the spread/dispersion.
4. In a right-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 tail pulls the mean to the
right, making it larger than the median and mode.
5. Which variable type is ‘Number of cars in a parking lot’?
A. Qualitative
B. Continuous Quantitative
C. Ordinal
D. Discrete Quantitative
Answer: D
Conceptual Explanation: It is quantitative because it represents a count, and discrete
because you cannot have a fraction of a car.
6. If events A and B are independent, and P(A) = 0.3 and P(B) = 0.4, what is P(A and B)?
A. 0.7
B. 0.12
C. 0.1
D. 0.75
Answer: B
