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Page 1 of 120 Applied Healthcare Statistics Final Exam With Multiple, Correctly Answered Questions Already Graded A 1. A hospital reports that the average length of stay for pneumonia patients is 5.2 days with a standard deviation of 1.4 days. What is the correct interpretation? A) Most patients stay exactly 5.2 days. Page 2 of 120 B) The median stay is 1.4 days. C) The typical deviation from the mean is 1.4 days. D) 5.2 days is the mode. Answer: C Rationale: Standard deviation measures the average distance of data points from the mean. 2. In a dataset of patient ages (22, 34, 45, 45, 67, 68, 70), what is the mode? A) 45 B) 50.1 C) 45 and 67 D) No mode Answer: A Rationale: Mode is the most frequent value (45 appears twice). 3. A clinic records blood pressures: 120, 125, 130, 135, 140. The interquartile range (IQR) is: A) 10 Page 4 of 120 B) Median C) Mode D) Standard deviation Answer: B Rationale: Median better represents skewed distributions. 6. If variance of HbA1c levels is 0.64, standard deviation is: A) 0.8 B) 0.64 C) 0.4 D) 0.32 Answer: A (sqrt(0.64)=0.8) 7. In a normal distribution of cholesterol levels, mean=200 mg/dL, SD=20. The coefficient of variation is: A) 10% B) 20% C) 15% D) 5% Page 5 of 120 Answer: A (20/200*100=10%) 8. Scenario: A dataset of ER wait times (minutes): 10, 12, 15, 15, 18, 100. The mean is 28.3, median 15. What does this suggest? A) Normal distribution B) Negatively skewed C) Positively skewed D) No skew Answer: C (Mean > median indicates positive skew) 9. The range of the dataset 4, 8, 15, 16, 23, 42 is: A) 38 B) 42 Cc) 4 D) 19 Answer: A (42-4=38) 10. Scenario: A nurse records pain scores (0-10) for 5 patients: 2, 3, 3, 4, 9. Which measure of central tendency is highest? Page 7 of 120 Answer: C (Mode for categorical frequency) 13. Z-score for a patient with BP=150, mean=130, SD=10 is: A) 2 Answer: A (150-130/10=2) 14. Which graph best shows the spread and skewness of patient ages? A) Bar chart B) Boxplot C) Pie chart D) Line graph Answer: B 15. Scenario: ICU lengths of stay: 1,2,2,3,4,5,5,5,6,30. The outlier is: A) 5 Page 8 of 120 B) 6 C) 30 D) 1 Answer: C (30 is extreme) 16. If Q1=50, Q3=80, the IQR is: A) 30 B) 130 C) 40 D) 20 Answer: A 17. A dataset with mean=median=mode is likely: A) Skewed right B) Skewed left C) Symmetric D) Bimodal Answer: C Page 10 of 120 ¢)8 D) 1 Answer: B (Mean=4, squared diffs: 4,0,4 sum=8, 8/2=4) 21. Scenario: A quality improvement team wants to see variability in surgical times. They should calculate: A) Mode B) Range or SD C) Median D) Frequency Answer: B 22. A boxplot shows a long left tail. The distribution is: A) Positively skewed B) Negatively skewed C) Normal D) Uniform Answer: B Page 11 of 120 23. The empirical rule states that approximately 95% of data in a normal distribution lies within: A) 1 SD B) 2 SD C) 3 SD D) 4 SD Answer: B 24. Scenario: Hemoglobin levels in healthy adults have mean=14, SD=1.5. What % is between 11 and 172 A) 68% B) 95% C) 99.7% D) 50% Answer: B (within 2 SD) 25. A histogram of hospital charges is skewed right. The mean is $50,000. The median is likely: A) > $50,000 Page 13 of 120 28. A patient's weight is at the 90th percentile. This means: A) 90% are heavier B) 10% are lighter C) 90% are lighter D) 90% are equal Answer: C 29. Scenario: ER triage times in minutes: 5,7,7,8,9,10,10,10,12,45. The best measure of center is: A) Mean B) Median C) Mode D) Range Answer: B (Outlier present) 30. If every patient's heart rate increases by 10 bpm, the standard deviation: A) Increases by 10 B) Increases by 100 Page 14 of 120 C) Stays the same D) Decreases Answer: C (Adding constant does not change SD) 31. Coefficient of variation allows comparison of: A) Means with different units B) Medians C) Modes D) Percentiles Answer: A 32. Scenario: Two clinics report BP variability: Clinic A SD=8, Clinic B SD=12. Which has more consistent BP? A) Clinic A B) Clinic B C) Same D) Cannot tell Answer: A (Lower SD = less variability) Page 16 of 120 C) Mode and range D) Only mean Answer: B 36. The shape of a normal distribution is: A) Skewed left B) Skewed right C) Bell-shaped D) Uniform Answer: C 37. A bimodal distribution has: A) One peak B) Two peaks C) No peaks D) A flat line Answer: B 38. Scenario: Patient satisfaction scores (1-5): 1,1,2,5,5,5. The mode is: Page 17 of 120 A) 1 B) 2 C)5 D) 1 and 5 Answer: D (Both appear 3 times) 39. Standard deviation can be zero if: A) All values are the same B) Mean is zero C) Range is large D) Data are skewed Answer: A 40. The interquartile range contains what percentage of data? A) 25% B) 50% C) 75% D) 100% Answer: B Page 19 of 120 C) Mode D) Range Answer: D 44. Scenario: A nurse wants to know if a patient's BP of 145 is unusual given clinic mean 130, SD 10. The Z-score is: A) +1.5 B) -1.5 C) +15 D)O Answer: A (1.5 SD above mean) 45. The sum of squared deviations divided by (n-1) is: A) Standard deviation B) Variance C) Range D) Mean Answer: B Page 20 of 120 46. Scenario: A dataset has min=10, Q1=20, median=30, Q3=40, max=100. Which is an outlier? A) 100 B) 40 C) 30 D) 20 Answer: A (1.5*IQR=30, @3+30=70, 100>70) 47. A histogram with a long right tail indicates: A) Negative skew B) Positive skew C) Normal D) Bimodal Answer: B 48. Scenario: Hospital A has mean LOS=4 days, SD=1; Hospital B mean=4 days, SD=3. Which is more consistent? A) Hospital A B) Hospital B 
