WGU C784 Applied Healthcare Statistics Objective
Assessment Actual 2026/2027 with Detailed Rationales
| 100% Verified | Pass Guaranteed – A+ Graded
SECTION 1: DESCRIPTIVE STATISTICS & DATA VISUALIZATION (14
Questions)
Q1: A hospital quality improvement team records the lengths of stay (in days) for 8
post-surgical patients: 3, 5, 5, 7, 8, 10, 12, 14. What is the median length of stay?
A. 5.5 days
B. 6.5 days
C. 7.5 days [CORRECT]
D. 8.0 days
Correct Answer: C
Rationale: Correct because with an even number of ordered values, the median is the
average of the two middle values (7 and 8), which equals 7.5 days.
Q2: A nurse researcher reports that the mean age of patients in a diabetes study is
58 years with a standard deviation of 12 years. If one patient is 82 years old, what is
the approximate z-score for this patient's age?
A. 1.5
,B. 2.0 [CORRECT]
C. 2.5
D. 3.0
Correct Answer: B
Rationale: Correct because z = (82 − 58) / 12 = = 2.0, indicating the patient is
two standard deviations above the mean.
Q3: In a dataset of hospital readmission rates, the mean is 12%, the median is 9%,
and the mode is 7%. What is the most likely shape of the distribution?
A. Symmetric
B. Negatively skewed (left-skewed)
C. Positively skewed (right-skewed) [CORRECT]
D. Uniform
Correct Answer: C
Rationale: Correct because when the mean exceeds the median, which exceeds the
mode, the distribution has a long right tail characteristic of positive skewness.
Q4: A box plot of patient satisfaction scores shows a median of 78, Q1 of 65, Q3 of
88, a lower whisker at 45, and an upper whisker at 95 with one outlier at 32. What is
the interquartile range (IQR)?
A. 13
B. 23 [CORRECT]
C. 33
,D. 50
Correct Answer: B
Rationale: Correct because IQR = Q3 − Q1 = 88 − 65 = 23; the outlier and whiskers do
not affect the IQR calculation.
Q5: A frequency distribution of blood pressure readings for 50 patients is displayed
in a histogram with class intervals of width 10 mmHg. The tallest bar represents the
interval 120–130 mmHg with a frequency of 18 patients. What does this bar
represent?
A. The median blood pressure of the group
B. The modal class of blood pressure readings [CORRECT]
C. The mean blood pressure of the group
D. The range of blood pressure readings
Correct Answer: B
Rationale: Correct because the class interval with the highest frequency in a
histogram is the modal class, representing the most common range of values.
Q6: A healthcare administrator creates a scatterplot showing the relationship
between nurse staffing levels (x-axis) and patient fall rates (y-axis). The points trend
downward from left to right. What does this pattern indicate?
A. A positive correlation between staffing and fall rates
B. A negative correlation between staffing and fall rates [CORRECT]
C. No correlation between staffing and fall rates
, D. A causal relationship between staffing and fall rates
Correct Answer: B
Rationale: Correct because a downward trend from left to right in a scatterplot
indicates that as one variable increases, the other tends to decrease, representing a
negative correlation.
Q7: A bar chart compares the percentage of patients who received flu vaccinations
across four hospital units: ICU (85%), Med-Surg (72%), Emergency (60%), and
Oncology (91%). What is the primary purpose of this bar chart?
A. To show the trend of vaccination rates over time
B. To compare vaccination rates across different categories [CORRECT]
C. To display the distribution of a continuous variable
D. To show the relationship between two continuous variables
Correct Answer: B
Rationale: Correct because bar charts are used to compare values across distinct
categories, making them ideal for comparing vaccination rates by hospital unit.
Q8: A dataset of emergency department wait times (in minutes) has a mean of 45, a
median of 38, and a standard deviation of 22. What is the coefficient of variation
(CV)?
A. 38.9%
B. 48.9% [CORRECT]
C. 58.9%
Assessment Actual 2026/2027 with Detailed Rationales
| 100% Verified | Pass Guaranteed – A+ Graded
SECTION 1: DESCRIPTIVE STATISTICS & DATA VISUALIZATION (14
Questions)
Q1: A hospital quality improvement team records the lengths of stay (in days) for 8
post-surgical patients: 3, 5, 5, 7, 8, 10, 12, 14. What is the median length of stay?
A. 5.5 days
B. 6.5 days
C. 7.5 days [CORRECT]
D. 8.0 days
Correct Answer: C
Rationale: Correct because with an even number of ordered values, the median is the
average of the two middle values (7 and 8), which equals 7.5 days.
Q2: A nurse researcher reports that the mean age of patients in a diabetes study is
58 years with a standard deviation of 12 years. If one patient is 82 years old, what is
the approximate z-score for this patient's age?
A. 1.5
,B. 2.0 [CORRECT]
C. 2.5
D. 3.0
Correct Answer: B
Rationale: Correct because z = (82 − 58) / 12 = = 2.0, indicating the patient is
two standard deviations above the mean.
Q3: In a dataset of hospital readmission rates, the mean is 12%, the median is 9%,
and the mode is 7%. What is the most likely shape of the distribution?
A. Symmetric
B. Negatively skewed (left-skewed)
C. Positively skewed (right-skewed) [CORRECT]
D. Uniform
Correct Answer: C
Rationale: Correct because when the mean exceeds the median, which exceeds the
mode, the distribution has a long right tail characteristic of positive skewness.
Q4: A box plot of patient satisfaction scores shows a median of 78, Q1 of 65, Q3 of
88, a lower whisker at 45, and an upper whisker at 95 with one outlier at 32. What is
the interquartile range (IQR)?
A. 13
B. 23 [CORRECT]
C. 33
,D. 50
Correct Answer: B
Rationale: Correct because IQR = Q3 − Q1 = 88 − 65 = 23; the outlier and whiskers do
not affect the IQR calculation.
Q5: A frequency distribution of blood pressure readings for 50 patients is displayed
in a histogram with class intervals of width 10 mmHg. The tallest bar represents the
interval 120–130 mmHg with a frequency of 18 patients. What does this bar
represent?
A. The median blood pressure of the group
B. The modal class of blood pressure readings [CORRECT]
C. The mean blood pressure of the group
D. The range of blood pressure readings
Correct Answer: B
Rationale: Correct because the class interval with the highest frequency in a
histogram is the modal class, representing the most common range of values.
Q6: A healthcare administrator creates a scatterplot showing the relationship
between nurse staffing levels (x-axis) and patient fall rates (y-axis). The points trend
downward from left to right. What does this pattern indicate?
A. A positive correlation between staffing and fall rates
B. A negative correlation between staffing and fall rates [CORRECT]
C. No correlation between staffing and fall rates
, D. A causal relationship between staffing and fall rates
Correct Answer: B
Rationale: Correct because a downward trend from left to right in a scatterplot
indicates that as one variable increases, the other tends to decrease, representing a
negative correlation.
Q7: A bar chart compares the percentage of patients who received flu vaccinations
across four hospital units: ICU (85%), Med-Surg (72%), Emergency (60%), and
Oncology (91%). What is the primary purpose of this bar chart?
A. To show the trend of vaccination rates over time
B. To compare vaccination rates across different categories [CORRECT]
C. To display the distribution of a continuous variable
D. To show the relationship between two continuous variables
Correct Answer: B
Rationale: Correct because bar charts are used to compare values across distinct
categories, making them ideal for comparing vaccination rates by hospital unit.
Q8: A dataset of emergency department wait times (in minutes) has a mean of 45, a
median of 38, and a standard deviation of 22. What is the coefficient of variation
(CV)?
A. 38.9%
B. 48.9% [CORRECT]
C. 58.9%
