WGU D771-QUANTITATIVE LITERACY OA EXAM–COMPLETE
STUDY GUIDE | PRACTICE QUESTIONS AND ANSWERS-
RATIONALES | EXAM PREP | DOWNLOAD INSTANT PDF |
GUARANTEED PASS || LATEST EXAM 2026-2027
1. A data analyst reviews a dataset containing monthly sales figures that range from $1,200
to $98,000, with one extreme outlier at $500,000. Which measure of center is most
appropriate to represent the typical monthly sales?
A. Mean
B. Median
C. Mode
D. Range
Answer: B
The median is resistant to extreme outliers and skewed data, providing a more accurate
representation of the typical value in skewed distributions compared to the mean.
2. A company reports that its quarterly revenue grew from $2.5 million to $3.1 million over
a one-year period. What is the percentage increase in revenue?
A. 19.35%
B. 24.00%
C. 20.00%
D. 25.40%
Answer: B
Percentage increase is calculated as the difference divided by the original value: $(3.1 - 2.5) /
2.5 = 0..5 = 0.24$, which equals 24%.
3. An inventory manager calculates the variance of daily shipment delays to be 16 days
squared. What is the standard deviation of the shipment delays?
A. 2 days
B. 4 days
C. 8 days
D. 16 days
Answer: B
The standard deviation is defined as the square root of the variance. The square root of 16 is
4.
,4. A financial analyst evaluates an investment portfolio that yields a return of 5% in the
first year and 10% in the second year. What is the cumulative geometric growth factor
over the two years?
A. 1.1500
B. 1.1550
C. 1.0550
D. 1.5000
Answer: B
Geometric growth combines rates by multiplying growth factors: $1.05 \times 1.10 = 1.155$,
representing a 15.5% total growth factor.
5. A quality control specialist measures widget lengths, finding a mean of 10 cm and a
standard deviation of 0.5 cm. Assuming a normal distribution, approximately what
percentage of widgets fall between 9.0 cm and 11.0 cm?
A. 68%
B. 95%
C. 99.7%
D. 50%
Answer: B
According to the empirical rule, approximately 95% of the data in a normal distribution falls
within two standard deviations of the mean ($10 \pm 2(0.5) = 9.0$ to $11.0$).
6. A loan officer evaluates a borrower's debt-to-income (DTI) ratio. The borrower has
monthly debt obligations of $1,800 and a gross monthly income of $6,000. What is the
borrower's DTI ratio?
A. 25%
B. 30%
C. 35%
D. 40%
Answer: B
Debt-to-income ratio is calculated by dividing total monthly debt by gross monthly income:
$\$1,800 / \$6,000 = 0.30$, or 30%.
7. A project manager uses a weighted scoring model to evaluate four vendors. Vendor A
scores 80 on technical capability (weight 0.6) and 70 on cost (weight 0.4). What is Vendor
A's weighted score?
,A. 74
B. 75
C. 76
D. 78
Answer: C
Multiply each score by its corresponding weight and sum the results: $(80 \times 0.6) + (70
\times 0.4) = 48 + 28 = 76$.
8. A retail store manager observes that sales of winter coats increase as average weekly
temperatures drop. What type of correlation exists between temperature and coat sales?
A. Positive correlation
B. Negative correlation
C. Zero correlation
D. Perfect correlation
Answer: B
A negative correlation occurs when one variable increases while the other decreases; as
temperature drops (decreases), coat sales rise (increase).
9. A data analyst converts a probability of 0.35 into odds in favor of an event occurring.
What are the odds in favor?
A. 7 to 13
B. 7 to 20
C. 13 to 7
D. 20 to 7
Answer: A
Odds in favor are calculated as the probability of the event occurring divided by the probability
of it not occurring: $0.35 / (1 - 0.35) = 0..65 = 7/13$, expressed as 7 to 13.
10. An operations team tracks machine downtime, recording values of 2, 4, 6, 8, and 30
hours. Which statement best describes the effect of the value 30 on the summary statistics?
A. It significantly increases the median.
B. It significantly increases the mean.
C. It has no effect on either the mean or median.
D. It decreases the standard deviation.
Answer: B
, The mean is sensitive to extreme values and outliers, whereas the median remains stable. The
large value of 30 pulls the mean upward.
11. A business analyst models expected profit using the linear equation $P = 45Q - 1,200$,
where $P$ is profit and $Q$ is units sold. What is the break-even quantity of units?
A. 20
B. 27
C. 30
D. 45
Answer: B
Break-even occurs when profit equals zero: $0 = 45Q - 1,200 \implies 45Q = 1,200 \implies Q
= 1, \approx 26.67$, which rounds up to 27 units to achieve a profit.
12. A survey of 400 consumers indicates that 220 prefer brand A over brand B. What is the
margin of error for a 95% confidence interval, approximated by $1 / \sqrt{n}$?
A. 0.025
B. 0.050
C. 0.100
D. 0.220
Answer: B
The standard margin of error approximation for proportions is $1 / \sqrt{n}$. For $n = 400$,
$\sqrt{400} = 20$, and $ = 0.05$ (or 5%).
13. A mutual fund manager reports an annual nominal interest rate of 12% compounded
monthly. What is the approximate effective annual rate (EAR)?
A. 12.00%
B. 12.36%
C. 12.68%
D. 13.00%
Answer: C
The effective annual rate formula is $\text{EAR} = (1 + r/n)^n - 1$. For 12% monthly: $(1 +
0.12/12)^{12} - 1 = (1.01)^{12} - 1 \approx 12.68\%$.
14. A logistics firm analyzes delivery times that follow a skewed distribution. Which
graphical summary is most effective for visualizing the five-number summary of this data?
A. Histogram
STUDY GUIDE | PRACTICE QUESTIONS AND ANSWERS-
RATIONALES | EXAM PREP | DOWNLOAD INSTANT PDF |
GUARANTEED PASS || LATEST EXAM 2026-2027
1. A data analyst reviews a dataset containing monthly sales figures that range from $1,200
to $98,000, with one extreme outlier at $500,000. Which measure of center is most
appropriate to represent the typical monthly sales?
A. Mean
B. Median
C. Mode
D. Range
Answer: B
The median is resistant to extreme outliers and skewed data, providing a more accurate
representation of the typical value in skewed distributions compared to the mean.
2. A company reports that its quarterly revenue grew from $2.5 million to $3.1 million over
a one-year period. What is the percentage increase in revenue?
A. 19.35%
B. 24.00%
C. 20.00%
D. 25.40%
Answer: B
Percentage increase is calculated as the difference divided by the original value: $(3.1 - 2.5) /
2.5 = 0..5 = 0.24$, which equals 24%.
3. An inventory manager calculates the variance of daily shipment delays to be 16 days
squared. What is the standard deviation of the shipment delays?
A. 2 days
B. 4 days
C. 8 days
D. 16 days
Answer: B
The standard deviation is defined as the square root of the variance. The square root of 16 is
4.
,4. A financial analyst evaluates an investment portfolio that yields a return of 5% in the
first year and 10% in the second year. What is the cumulative geometric growth factor
over the two years?
A. 1.1500
B. 1.1550
C. 1.0550
D. 1.5000
Answer: B
Geometric growth combines rates by multiplying growth factors: $1.05 \times 1.10 = 1.155$,
representing a 15.5% total growth factor.
5. A quality control specialist measures widget lengths, finding a mean of 10 cm and a
standard deviation of 0.5 cm. Assuming a normal distribution, approximately what
percentage of widgets fall between 9.0 cm and 11.0 cm?
A. 68%
B. 95%
C. 99.7%
D. 50%
Answer: B
According to the empirical rule, approximately 95% of the data in a normal distribution falls
within two standard deviations of the mean ($10 \pm 2(0.5) = 9.0$ to $11.0$).
6. A loan officer evaluates a borrower's debt-to-income (DTI) ratio. The borrower has
monthly debt obligations of $1,800 and a gross monthly income of $6,000. What is the
borrower's DTI ratio?
A. 25%
B. 30%
C. 35%
D. 40%
Answer: B
Debt-to-income ratio is calculated by dividing total monthly debt by gross monthly income:
$\$1,800 / \$6,000 = 0.30$, or 30%.
7. A project manager uses a weighted scoring model to evaluate four vendors. Vendor A
scores 80 on technical capability (weight 0.6) and 70 on cost (weight 0.4). What is Vendor
A's weighted score?
,A. 74
B. 75
C. 76
D. 78
Answer: C
Multiply each score by its corresponding weight and sum the results: $(80 \times 0.6) + (70
\times 0.4) = 48 + 28 = 76$.
8. A retail store manager observes that sales of winter coats increase as average weekly
temperatures drop. What type of correlation exists between temperature and coat sales?
A. Positive correlation
B. Negative correlation
C. Zero correlation
D. Perfect correlation
Answer: B
A negative correlation occurs when one variable increases while the other decreases; as
temperature drops (decreases), coat sales rise (increase).
9. A data analyst converts a probability of 0.35 into odds in favor of an event occurring.
What are the odds in favor?
A. 7 to 13
B. 7 to 20
C. 13 to 7
D. 20 to 7
Answer: A
Odds in favor are calculated as the probability of the event occurring divided by the probability
of it not occurring: $0.35 / (1 - 0.35) = 0..65 = 7/13$, expressed as 7 to 13.
10. An operations team tracks machine downtime, recording values of 2, 4, 6, 8, and 30
hours. Which statement best describes the effect of the value 30 on the summary statistics?
A. It significantly increases the median.
B. It significantly increases the mean.
C. It has no effect on either the mean or median.
D. It decreases the standard deviation.
Answer: B
, The mean is sensitive to extreme values and outliers, whereas the median remains stable. The
large value of 30 pulls the mean upward.
11. A business analyst models expected profit using the linear equation $P = 45Q - 1,200$,
where $P$ is profit and $Q$ is units sold. What is the break-even quantity of units?
A. 20
B. 27
C. 30
D. 45
Answer: B
Break-even occurs when profit equals zero: $0 = 45Q - 1,200 \implies 45Q = 1,200 \implies Q
= 1, \approx 26.67$, which rounds up to 27 units to achieve a profit.
12. A survey of 400 consumers indicates that 220 prefer brand A over brand B. What is the
margin of error for a 95% confidence interval, approximated by $1 / \sqrt{n}$?
A. 0.025
B. 0.050
C. 0.100
D. 0.220
Answer: B
The standard margin of error approximation for proportions is $1 / \sqrt{n}$. For $n = 400$,
$\sqrt{400} = 20$, and $ = 0.05$ (or 5%).
13. A mutual fund manager reports an annual nominal interest rate of 12% compounded
monthly. What is the approximate effective annual rate (EAR)?
A. 12.00%
B. 12.36%
C. 12.68%
D. 13.00%
Answer: C
The effective annual rate formula is $\text{EAR} = (1 + r/n)^n - 1$. For 12% monthly: $(1 +
0.12/12)^{12} - 1 = (1.01)^{12} - 1 \approx 12.68\%$.
14. A logistics firm analyzes delivery times that follow a skewed distribution. Which
graphical summary is most effective for visualizing the five-number summary of this data?
A. Histogram
