WGU D514 — Objective Assessment (OA) | Data-Driven Decision Making 2026 Update | 126 Questions | 100 pts
WGU D514 OBJECTIVE ASSESSMENT (OA)
EXPLORE NEW 126 ACTUAL QUESTIONS AND ANSWERS | 2026 UPDATE | WITH COMPLETE
SOLUTIONS
Western Governors University • Data-Driven Decision Making (D514)
Aligned with 2026 | 2027 academic standards • Business Analytics & Business Intelligence
Questions 126 multiple-choice (4 sections) Time (suggested) 180 minutes
Points 100 (~0.79 pts per question) Passing ≥ 70 (Competent)
Cognitive Mix 30% recall · 50% application · 20% analysis Format 75% scenario / 25% direct
Examination Instructions
This Objective Assessment mirrors the structure, rigor, and business-application style of the actual WGU D514
OA. Each question presents four options (A–D) with exactly one correct answer. Rationales include
step-by-step statistical derivations—hypothesis-test setups, probability calculations, and regression
interpretations—and explicitly identify the conceptual errors that produce each distractor. Section 4 integrates
2026|2027 modern analytics contexts including AI-driven predictive modeling, AutoML, contemporary data
visualization, and modern data-governance frameworks.
Section 1: Descriptive Statistics, Data Visualization, & Probability (Q1–Q32)
Measures of central tendency and dispersion; data visualization (histograms, box plots, scatter plots, bar/pie
charts); and fundamental probability rules (addition, multiplication, conditional probability, Bayes' theorem,
permutations, combinations).
Q1. A store recorded daily sales of $120, $150, $180, $200, and $250 over five days. What is the mean daily
sales?
A. $200
B. $180 [CORRECT]
C. $150
D. $210
Correct Answer: B — $180
Rationale: Sum = 120+150+180+200+250 = 900; mean = 900/5 = $180. A confuses mean with median (the middle
value); C picks the smallest non-minimum value; D miscalculates the sum.
Q2. A dataset of CEO salaries is highly right-skewed due to a few billionaire outliers. Which measure best
represents the typical CEO salary?
A. Mean
B. Median [CORRECT]
C. Mode
D. Range
Correct Answer: B — Median
Rationale: The median is resistant to outliers and best represents the center of skewed data. A is inflated by extreme
values; C may not be meaningful for continuous salary data; D measures spread, not central tendency.
Q3. A shoe store sold sizes: 7, 7, 8, 8, 8, 9, 9, 10. What is the mode?
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,WGU D514 — Objective Assessment (OA) | Data-Driven Decision Making 2026 Update | 126 Questions | 100 pts
A. 7
B. 8 [CORRECT]
C. 9
D. 8.5
Correct Answer: B — 8
Rationale: Size 8 appears three times, more than any other value, so it is the mode. A and C each appear twice; D is
the median, not the mode.
Q4. A student earned A (4.0) in a 3-credit course, B (3.0) in a 4-credit course, and C (2.0) in a 3-credit course.
What is the GPA?
A. 3.00 [CORRECT]
B. 3.67
C. 2.50
D. 3.33
Correct Answer: A — 3.00
Rationale: Weighted mean = (4.0×3 + 3.0×4 + 2.0×3)/(3+4+3) = (12+12+6)/10 = 30/10 = 3.00. B is the simple
unweighted average of grade points; C weights incorrectly; D misapplies credit weights.
Q5. A stock returned 10%, -5%, and 20% over three years. What is the geometric mean return?
A. 7.84% [CORRECT]
B. 8.33%
C. 10.00%
D. 5.00%
Correct Answer: A — 7.84%
Rationale: Geometric mean = [(1.10)(0.95)(1.20)]^(1/3) - 1 = (1.254)^(1/3) - 1 ≈ 7.84%. B is the arithmetic mean, which
overstates compounded growth; C uses only the first year; D ignores the positive returns.
Q6. For the dataset {5, 10, 15, 20, 25}, what are the range and midrange?
A. Range = 20, Midrange = 15 [CORRECT]
B. Range = 15, Midrange = 20
C. Range = 20, Midrange = 20
D. Range = 25, Midrange = 15
Correct Answer: A — Range = 20, Midrange = 15
Rationale: Range = max - min = 25 - 5 = 20; midrange = (max + min)/2 = (25+5)/2 = 15. B swaps the two values; C
miscomputes the midrange; D uses max as the range.
Q7. For the population data {2, 4, 6, 8}, what is the population variance?
A. 5.00 [CORRECT]
B. 6.67
C. 2.24
D. 4.00
Correct Answer: A — 5.00
Rationale: Mean = 5; squared deviations = 9, 1, 1, 9; sum = 20; population variance = 20/4 = 5.00. B divides by n-1 = 3
(sample variance error); C is the standard deviation √5; D miscalculates the sum of squared deviations.
Q8. If the standard deviation of a dataset is exactly 0, what must be true?
A. All values are identical [CORRECT]
B. The mean equals 0
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,WGU D514 — Objective Assessment (OA) | Data-Driven Decision Making 2026 Update | 126 Questions | 100 pts
C. The range equals 1
D. The dataset is empty
Correct Answer: A — All values are identical
Rationale: A standard deviation of 0 means every value equals the mean, so all values are identical. B confuses SD
with mean; C and D are unrelated to a zero SD.
Q9. Stock A: mean return 10%, SD 2%. Stock B: mean return 20%, SD 5%. Which stock has higher relative
variability?
A. Stock B (CV = 25%) [CORRECT]
B. Stock A (CV = 20%)
C. Both are equal
D. Cannot be determined
Correct Answer: A — Stock B (CV = 25%)
Rationale: Coefficient of variation: CV_A = 2/10 = 20%; CV_B = 5/20 = 25%. Stock B has higher relative variability. B
compares absolute SDs instead of relative; C ignores the difference; D fails to compute CVs.
Q10. For the dataset {1, 2, 3, 4, 5, 6, 7, 8, 9, 100}, identify any outliers using the IQR method.
A. 100 is an outlier [CORRECT]
B. No outliers exist
C. 1 is an outlier
D. Both 1 and 100 are outliers
Correct Answer: A — 100 is an outlier
Rationale: Q1 = 2.75, Q3 = 8.25, IQR = 5.5; upper fence = 8.25 + 1.5(5.5) = 16.5. Since 100 > 16.5, 100 is an outlier.
B ignores the fence test; C is below the lower fence of -5.5 (not an outlier); D double-counts.
Q11. A box plot shows the median closer to Q1 and a long upper whisker. The distribution is:
A. Right-skewed [CORRECT]
B. Left-skewed
C. Symmetric
D. Bimodal
Correct Answer: A — Right-skewed
Rationale: A long upper whisker with the median pulled toward Q1 indicates right-skew (tail extends right). B reverses
the direction; C requires symmetric whiskers; D cannot be determined from a box plot alone.
Q12. Find the five-number summary for {3, 5, 7, 8, 12, 15, 18, 22}.
A. 3, 6, 10, 16.5, 22 [CORRECT]
B. 3, 5, 10, 18, 22
C. 3, 7, 10, 15, 22
D. 3, 6, 12, 16.5, 22
Correct Answer: A — 3, 6, 10, 16.5, 22
Rationale: Min=3, Q1=median of {3,5,7,8}=6, median=10, Q3=median of {12,15,18,22}=16.5, max=22 → 3, 6, 10,
16.5, 22. B/C/D miscompute quartiles by not splitting the data at the overall median.
Q13. A student's score of 85 is at the 90th percentile. This means:
A. The student scored higher than 90% of test takers [CORRECT]
B. The student answered 90% of questions correctly
C. The student's raw score is 90
D. 90% of students scored exactly 85
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, WGU D514 — Objective Assessment (OA) | Data-Driven Decision Making 2026 Update | 126 Questions | 100 pts
Correct Answer: A — The student scored higher than 90% of test takers
Rationale: The 90th percentile means 90% of scores fall at or below 85. B confuses percentile with percent correct;
C confuses it with the score value; D misinterprets the definition.
Q14. A distribution has mean < median < mode. The distribution is:
A. Left-skewed [CORRECT]
B. Right-skewed
C. Symmetric
D. Uniform
Correct Answer: A — Left-skewed
Rationale: When mean < median < mode, the tail pulls the mean leftward, indicating left-skew. B reverses the order
(mean > median > mode); C requires all three equal; D implies a flat distribution.
Q15. A histogram is tallest in the middle and decreases symmetrically toward both ends. This shape is:
A. Bell-shaped (approximately normal) [CORRECT]
B. Uniform
C. Right-skewed
D. Bimodal
Correct Answer: A — Bell-shaped (approximately normal)
Rationale: Symmetric, single-peaked, tapering tails describe a bell-shaped (normal) distribution. B is flat; C is
asymmetric; D has two distinct peaks.
Q16. A manager wants to show the proportion of total sales contributed by five product categories. The best
chart is:
A. Pie chart or 100% stacked bar [CORRECT]
B. Histogram
C. Scatter plot
D. Line chart
Correct Answer: A — Pie chart or 100% stacked bar
Rationale: A pie chart or 100% stacked bar displays parts of a whole. B shows distribution of a continuous variable;
C shows relationships between two variables; D shows trends over time.
Q17. A scatter plot shows points trending from the lower-left to the upper-right. The correlation is:
A. Positive [CORRECT]
B. Negative
C. Zero
D. Perfectly negative
Correct Answer: A — Positive
Rationale: An upward trend from left to right indicates positive correlation. B would trend downward; C shows no
pattern; D requires all points on a single downward line.
Q18. A company wants to compare quarterly revenue across four regions. The best chart is:
A. Bar chart [CORRECT]
B. Pie chart
C. Histogram
D. Box plot
Correct Answer: A — Bar chart
Western Governors University • Confidential OA Study Tool Page 4
WGU D514 OBJECTIVE ASSESSMENT (OA)
EXPLORE NEW 126 ACTUAL QUESTIONS AND ANSWERS | 2026 UPDATE | WITH COMPLETE
SOLUTIONS
Western Governors University • Data-Driven Decision Making (D514)
Aligned with 2026 | 2027 academic standards • Business Analytics & Business Intelligence
Questions 126 multiple-choice (4 sections) Time (suggested) 180 minutes
Points 100 (~0.79 pts per question) Passing ≥ 70 (Competent)
Cognitive Mix 30% recall · 50% application · 20% analysis Format 75% scenario / 25% direct
Examination Instructions
This Objective Assessment mirrors the structure, rigor, and business-application style of the actual WGU D514
OA. Each question presents four options (A–D) with exactly one correct answer. Rationales include
step-by-step statistical derivations—hypothesis-test setups, probability calculations, and regression
interpretations—and explicitly identify the conceptual errors that produce each distractor. Section 4 integrates
2026|2027 modern analytics contexts including AI-driven predictive modeling, AutoML, contemporary data
visualization, and modern data-governance frameworks.
Section 1: Descriptive Statistics, Data Visualization, & Probability (Q1–Q32)
Measures of central tendency and dispersion; data visualization (histograms, box plots, scatter plots, bar/pie
charts); and fundamental probability rules (addition, multiplication, conditional probability, Bayes' theorem,
permutations, combinations).
Q1. A store recorded daily sales of $120, $150, $180, $200, and $250 over five days. What is the mean daily
sales?
A. $200
B. $180 [CORRECT]
C. $150
D. $210
Correct Answer: B — $180
Rationale: Sum = 120+150+180+200+250 = 900; mean = 900/5 = $180. A confuses mean with median (the middle
value); C picks the smallest non-minimum value; D miscalculates the sum.
Q2. A dataset of CEO salaries is highly right-skewed due to a few billionaire outliers. Which measure best
represents the typical CEO salary?
A. Mean
B. Median [CORRECT]
C. Mode
D. Range
Correct Answer: B — Median
Rationale: The median is resistant to outliers and best represents the center of skewed data. A is inflated by extreme
values; C may not be meaningful for continuous salary data; D measures spread, not central tendency.
Q3. A shoe store sold sizes: 7, 7, 8, 8, 8, 9, 9, 10. What is the mode?
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,WGU D514 — Objective Assessment (OA) | Data-Driven Decision Making 2026 Update | 126 Questions | 100 pts
A. 7
B. 8 [CORRECT]
C. 9
D. 8.5
Correct Answer: B — 8
Rationale: Size 8 appears three times, more than any other value, so it is the mode. A and C each appear twice; D is
the median, not the mode.
Q4. A student earned A (4.0) in a 3-credit course, B (3.0) in a 4-credit course, and C (2.0) in a 3-credit course.
What is the GPA?
A. 3.00 [CORRECT]
B. 3.67
C. 2.50
D. 3.33
Correct Answer: A — 3.00
Rationale: Weighted mean = (4.0×3 + 3.0×4 + 2.0×3)/(3+4+3) = (12+12+6)/10 = 30/10 = 3.00. B is the simple
unweighted average of grade points; C weights incorrectly; D misapplies credit weights.
Q5. A stock returned 10%, -5%, and 20% over three years. What is the geometric mean return?
A. 7.84% [CORRECT]
B. 8.33%
C. 10.00%
D. 5.00%
Correct Answer: A — 7.84%
Rationale: Geometric mean = [(1.10)(0.95)(1.20)]^(1/3) - 1 = (1.254)^(1/3) - 1 ≈ 7.84%. B is the arithmetic mean, which
overstates compounded growth; C uses only the first year; D ignores the positive returns.
Q6. For the dataset {5, 10, 15, 20, 25}, what are the range and midrange?
A. Range = 20, Midrange = 15 [CORRECT]
B. Range = 15, Midrange = 20
C. Range = 20, Midrange = 20
D. Range = 25, Midrange = 15
Correct Answer: A — Range = 20, Midrange = 15
Rationale: Range = max - min = 25 - 5 = 20; midrange = (max + min)/2 = (25+5)/2 = 15. B swaps the two values; C
miscomputes the midrange; D uses max as the range.
Q7. For the population data {2, 4, 6, 8}, what is the population variance?
A. 5.00 [CORRECT]
B. 6.67
C. 2.24
D. 4.00
Correct Answer: A — 5.00
Rationale: Mean = 5; squared deviations = 9, 1, 1, 9; sum = 20; population variance = 20/4 = 5.00. B divides by n-1 = 3
(sample variance error); C is the standard deviation √5; D miscalculates the sum of squared deviations.
Q8. If the standard deviation of a dataset is exactly 0, what must be true?
A. All values are identical [CORRECT]
B. The mean equals 0
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,WGU D514 — Objective Assessment (OA) | Data-Driven Decision Making 2026 Update | 126 Questions | 100 pts
C. The range equals 1
D. The dataset is empty
Correct Answer: A — All values are identical
Rationale: A standard deviation of 0 means every value equals the mean, so all values are identical. B confuses SD
with mean; C and D are unrelated to a zero SD.
Q9. Stock A: mean return 10%, SD 2%. Stock B: mean return 20%, SD 5%. Which stock has higher relative
variability?
A. Stock B (CV = 25%) [CORRECT]
B. Stock A (CV = 20%)
C. Both are equal
D. Cannot be determined
Correct Answer: A — Stock B (CV = 25%)
Rationale: Coefficient of variation: CV_A = 2/10 = 20%; CV_B = 5/20 = 25%. Stock B has higher relative variability. B
compares absolute SDs instead of relative; C ignores the difference; D fails to compute CVs.
Q10. For the dataset {1, 2, 3, 4, 5, 6, 7, 8, 9, 100}, identify any outliers using the IQR method.
A. 100 is an outlier [CORRECT]
B. No outliers exist
C. 1 is an outlier
D. Both 1 and 100 are outliers
Correct Answer: A — 100 is an outlier
Rationale: Q1 = 2.75, Q3 = 8.25, IQR = 5.5; upper fence = 8.25 + 1.5(5.5) = 16.5. Since 100 > 16.5, 100 is an outlier.
B ignores the fence test; C is below the lower fence of -5.5 (not an outlier); D double-counts.
Q11. A box plot shows the median closer to Q1 and a long upper whisker. The distribution is:
A. Right-skewed [CORRECT]
B. Left-skewed
C. Symmetric
D. Bimodal
Correct Answer: A — Right-skewed
Rationale: A long upper whisker with the median pulled toward Q1 indicates right-skew (tail extends right). B reverses
the direction; C requires symmetric whiskers; D cannot be determined from a box plot alone.
Q12. Find the five-number summary for {3, 5, 7, 8, 12, 15, 18, 22}.
A. 3, 6, 10, 16.5, 22 [CORRECT]
B. 3, 5, 10, 18, 22
C. 3, 7, 10, 15, 22
D. 3, 6, 12, 16.5, 22
Correct Answer: A — 3, 6, 10, 16.5, 22
Rationale: Min=3, Q1=median of {3,5,7,8}=6, median=10, Q3=median of {12,15,18,22}=16.5, max=22 → 3, 6, 10,
16.5, 22. B/C/D miscompute quartiles by not splitting the data at the overall median.
Q13. A student's score of 85 is at the 90th percentile. This means:
A. The student scored higher than 90% of test takers [CORRECT]
B. The student answered 90% of questions correctly
C. The student's raw score is 90
D. 90% of students scored exactly 85
Western Governors University • Confidential OA Study Tool Page 3
, WGU D514 — Objective Assessment (OA) | Data-Driven Decision Making 2026 Update | 126 Questions | 100 pts
Correct Answer: A — The student scored higher than 90% of test takers
Rationale: The 90th percentile means 90% of scores fall at or below 85. B confuses percentile with percent correct;
C confuses it with the score value; D misinterprets the definition.
Q14. A distribution has mean < median < mode. The distribution is:
A. Left-skewed [CORRECT]
B. Right-skewed
C. Symmetric
D. Uniform
Correct Answer: A — Left-skewed
Rationale: When mean < median < mode, the tail pulls the mean leftward, indicating left-skew. B reverses the order
(mean > median > mode); C requires all three equal; D implies a flat distribution.
Q15. A histogram is tallest in the middle and decreases symmetrically toward both ends. This shape is:
A. Bell-shaped (approximately normal) [CORRECT]
B. Uniform
C. Right-skewed
D. Bimodal
Correct Answer: A — Bell-shaped (approximately normal)
Rationale: Symmetric, single-peaked, tapering tails describe a bell-shaped (normal) distribution. B is flat; C is
asymmetric; D has two distinct peaks.
Q16. A manager wants to show the proportion of total sales contributed by five product categories. The best
chart is:
A. Pie chart or 100% stacked bar [CORRECT]
B. Histogram
C. Scatter plot
D. Line chart
Correct Answer: A — Pie chart or 100% stacked bar
Rationale: A pie chart or 100% stacked bar displays parts of a whole. B shows distribution of a continuous variable;
C shows relationships between two variables; D shows trends over time.
Q17. A scatter plot shows points trending from the lower-left to the upper-right. The correlation is:
A. Positive [CORRECT]
B. Negative
C. Zero
D. Perfectly negative
Correct Answer: A — Positive
Rationale: An upward trend from left to right indicates positive correlation. B would trend downward; C shows no
pattern; D requires all points on a single downward line.
Q18. A company wants to compare quarterly revenue across four regions. The best chart is:
A. Bar chart [CORRECT]
B. Pie chart
C. Histogram
D. Box plot
Correct Answer: A — Bar chart
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