WGU WESTERN GOVERNORS UNIVERSITY
559C
EST. 1997 General Education — Mathematics
C955: Probability and Statistics
COMPREHENSIVE ASSESSMENT — DESCRIPTIVE STATISTICS, STUDY DESIGN & PROBABILITY
INSTITUTION PROGRAM
Western Governors University General Education — Mathematics
COURSE CODE COURSE TITLE
C955 Probability and Statistics
ACADEMIC YEAR EXAM TITLE
2025–2026 Comprehensive Final Assessment — C955
TOTAL QUESTIONS EXAM FORMAT
50 Multiple Choice — Select the Single Best Answer
General Instructions
▸ Read each question carefully before selecting your answer.
▸ Select the single best answer for each multiple-choice item.
▸ This comprehensive examination covers descriptive statistics and graphical displays, measures of center and
spread, correlation and regression, study design and sampling methods, and probability fundamentals.
▸ All questions reference WGU C955 course materials.
▸ Electronic devices, notes, and reference materials are prohibited during the examination.
Q MULTIPLE CHOICE QUESTIONS 50 Questions
,1. A boxplot displays which five summary statistics?
A. Mean, median, mode, range, standard deviation
B. Minimum, Q1, median, Q3, maximum
C. Minimum, mean, median, mode, maximum
D. Q1, Q2, Q3, Q4, Q5
CORRECT ANSWER:
B. Minimum, Q1, median, Q3, maximum
RATIONALE:
A boxplot (box-and-whisker plot) graphically displays the five-number summary: minimum, first quartile (Q1),
median (Q2), third quartile (Q3), and maximum. The box spans from Q1 to Q3 with a line at the median; whiskers
extend to min and max (or 1.5 × IQR boundaries). Options A, C, and D include incorrect combinations.
2. A histogram is a graphical representation that:
A. Displays the five-number summary
B. Uses bars to measure the frequency of data within each interval
C. Shows the relationship between two quantitative variables
D. Displays categorical data in a pie-shaped chart
CORRECT ANSWER:
B. Uses bars to measure the frequency of data within each interval
RATIONALE:
A histogram uses adjacent bars (no gaps) to display the frequency or count of data values within specified
intervals (bins). It reveals the shape of the data distribution. Option A describes a boxplot. Option C describes a
scatter plot. Option D describes a pie chart.
, 3. A distribution that is skewed right has:
A. The tail extending to the left
B. A symmetric shape with equal tails
C. The tail extending to the right, with extra data on the right
D. No tail on either side
CORRECT ANSWER:
C. The tail extending to the right, with extra data on the right
RATIONALE:
A right-skewed distribution has a longer tail extending to the right (higher values). The mean is typically greater
than the median in right-skewed data. The bulk of the data is concentrated on the left with a few high outliers
pulling the tail right. Option A describes left-skewed data.
4. Which of the following are measures of center?
A. Range, IQR, and standard deviation
B. Median, mean, and mode
C. Minimum, Q1, and Q3
D. Variance, range, and IQR
CORRECT ANSWER:
B. Median, mean, and mode
RATIONALE:
Measures of center describe the central tendency of data: mean (arithmetic average), median (middle value),
and mode (most frequent value). Options A and D describe measures of spread (variability). Option C describes
quartile values used in boxplots.
559C
EST. 1997 General Education — Mathematics
C955: Probability and Statistics
COMPREHENSIVE ASSESSMENT — DESCRIPTIVE STATISTICS, STUDY DESIGN & PROBABILITY
INSTITUTION PROGRAM
Western Governors University General Education — Mathematics
COURSE CODE COURSE TITLE
C955 Probability and Statistics
ACADEMIC YEAR EXAM TITLE
2025–2026 Comprehensive Final Assessment — C955
TOTAL QUESTIONS EXAM FORMAT
50 Multiple Choice — Select the Single Best Answer
General Instructions
▸ Read each question carefully before selecting your answer.
▸ Select the single best answer for each multiple-choice item.
▸ This comprehensive examination covers descriptive statistics and graphical displays, measures of center and
spread, correlation and regression, study design and sampling methods, and probability fundamentals.
▸ All questions reference WGU C955 course materials.
▸ Electronic devices, notes, and reference materials are prohibited during the examination.
Q MULTIPLE CHOICE QUESTIONS 50 Questions
,1. A boxplot displays which five summary statistics?
A. Mean, median, mode, range, standard deviation
B. Minimum, Q1, median, Q3, maximum
C. Minimum, mean, median, mode, maximum
D. Q1, Q2, Q3, Q4, Q5
CORRECT ANSWER:
B. Minimum, Q1, median, Q3, maximum
RATIONALE:
A boxplot (box-and-whisker plot) graphically displays the five-number summary: minimum, first quartile (Q1),
median (Q2), third quartile (Q3), and maximum. The box spans from Q1 to Q3 with a line at the median; whiskers
extend to min and max (or 1.5 × IQR boundaries). Options A, C, and D include incorrect combinations.
2. A histogram is a graphical representation that:
A. Displays the five-number summary
B. Uses bars to measure the frequency of data within each interval
C. Shows the relationship between two quantitative variables
D. Displays categorical data in a pie-shaped chart
CORRECT ANSWER:
B. Uses bars to measure the frequency of data within each interval
RATIONALE:
A histogram uses adjacent bars (no gaps) to display the frequency or count of data values within specified
intervals (bins). It reveals the shape of the data distribution. Option A describes a boxplot. Option C describes a
scatter plot. Option D describes a pie chart.
, 3. A distribution that is skewed right has:
A. The tail extending to the left
B. A symmetric shape with equal tails
C. The tail extending to the right, with extra data on the right
D. No tail on either side
CORRECT ANSWER:
C. The tail extending to the right, with extra data on the right
RATIONALE:
A right-skewed distribution has a longer tail extending to the right (higher values). The mean is typically greater
than the median in right-skewed data. The bulk of the data is concentrated on the left with a few high outliers
pulling the tail right. Option A describes left-skewed data.
4. Which of the following are measures of center?
A. Range, IQR, and standard deviation
B. Median, mean, and mode
C. Minimum, Q1, and Q3
D. Variance, range, and IQR
CORRECT ANSWER:
B. Median, mean, and mode
RATIONALE:
Measures of center describe the central tendency of data: mean (arithmetic average), median (middle value),
and mode (most frequent value). Options A and D describe measures of spread (variability). Option C describes
quartile values used in boxplots.
