WGU C784 APPLIED HEALTHCARE STATISTICS OBJECTIVE
ASSESSMENT 2026/2027 | 100% Correct | Grade A |
Questions & Verified Answers | Pass Guaranteed - A+
Graded
Section 1: Mathematical Foundations & Proportions (Q1-10)
Q1. A hospital pharmacy has a stock solution of 250 mg/5 mL. If a patient needs 400
mg, how many mL should be administered? (Round to the nearest tenth.)
A. 6.0 mL
B. 7.0 mL
C. 8.0 mL [CORRECT]
D. 10.0 mL
Rationale: Set up the proportion: 250 mg / 5 mL = 400 mg / x mL. Cross-multiply:
250x = 2000. Solve: x = = 8.0 mL. Option A reverses the proportion; B is a
rounding error; D ignores the proportion and uses the original volume.
Correct Answer: C
Q2. A clinic's patient satisfaction score improved from 72% to 90%. What is the
percentage increase?
A. 18%
B. 20%
C. 25% [CORRECT]
D. 30%
Rationale: Percentage change = [(New - Original) / Original] × 100 = [(90 - 72) / 72]
× 100 = () × 100 = 25%. Option A subtracts without dividing by original; B
and D are calculation errors.
Correct Answer: C
,2
Q3. Reduce the ratio 45:60 to its simplest form.
A. 3:4 [CORRECT]
B. 9:12
C. 15:20
D. 2:3
Rationale: Divide both terms by their greatest common divisor (15): 45 ÷ 15 = 3, 60
÷ 15 = 4. The simplest form is 3:4. Options B and C are equivalent but not reduced; D
is an incorrect reduction.
Correct Answer: A
Q4. If 3 nurses can complete patient assessments in 4 hours, how many hours will it
take 6 nurses working at the same rate?
A. 1 hour
B. 1.5 hours
C. 2 hours [CORRECT]
D. 8 hours
Rationale: This is an inverse proportion: more workers means less time. Total work =
3 nurses × 4 hours = 12 nurse-hours. With 6 nurses: 12 nurse-hours ÷ 6 nurses = 2
hours. Option D incorrectly uses direct proportion; A and B are calculation errors.
Correct Answer: C
Q5. A patient's weight decreased from 82.5 kg to 78.2 kg. What is the percentage
decrease rounded to the nearest tenth?
A. 4.3%
B. 5.2% [CORRECT]
C. 5.3%
D. 6.1%
, 3
Rationale: Percentage decrease = [(82.5 - 78.2) / 82.5] × 100 = (4..5) × 100 =
5.212...% ≈ 5.2%. Option A uses the absolute difference without division; C incorrectly
rounds up from 5.21; D uses the new weight as denominator.
Correct Answer: B
Q6. A laboratory reports a hemoglobin value of 14.25 g/dL. How many significant
digits does this measurement contain?
A. 2
B. 3
C. 4 [CORRECT]
D. 5
Rationale: Significant digits include all non-zero digits and trailing zeros after the
decimal point. In 14.25, all four digits (1, 4, 2, 5) are significant. Leading zeros are not
significant; trailing zeros in whole numbers may be ambiguous.
Correct Answer: C
Q7. Solve for x: 7/12 = x/48.
A. 24
B. 28 [CORRECT]
C. 32
D. 36
Rationale: Cross-multiply: 12x = 7 × 48 = 336. Solve: x = = 28. Option A
divides 48 by 2 incorrectly; C and D are calculation errors from incorrect cross-
multiplication.
Correct Answer: B