The median is a measure of central tendency, representing the middle value in an ordered dataset. To find the median, the data must be arranged in ascending order, and the middle value is selected.
Data provided: 1, 1, 1, 1, 1, 2, 2, 3, 4, 4 (10 values, an even number).
Ordered data: 1, 1, 1, 1, 1, 2, 2, 3, 4, 4.
Median calculation: For an even number of observations, the median is the average of the two middle values. The 5th and 6th values are 1 and 2, respectively. Median = (1 + 2) / 2 = 1.5.
Correction Note: The correct median is 1.5, which corresponds to option B, not C as initially assumed. The NAHQ CPHQ study guide states, “The median is calculated by ordering data and finding the middle value or averaging the two middle values for an even dataset” (Domain 2). The error in selecting C (2) may stem from misinterpreting the middle values, but 1.5 is the accurate calculation.
CPHQ Objective Reference: Domain 2: Health Data Analytics, Objective 2.1, “Apply statistical measures for data analysis,” includes calculating the median. The NAHQ study guide notes, “The median is a key measure for summarizing data distributions in quality studies” (Domain 2).
Rationale: The median age is 1.5, correctly aligning with option B, based on standard statistical methods used in CPHQ data analysis.
Answer (corrected): B
[Reference: NAHQ CPHQ Study Guide, Domain 2: Health Data Analytics, Objective 2.1., , , ]
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