ATI Hematologic System Quizlet Related

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In a study to investigate the rates of central line–acquired bacterial infections, it is discovered that patient length of stay (LOS) is not normally distributed but is highly right-skewed. What is the correct relationship between the mean, median, and mode of LOS?

  • A. The mean is less than the median but greater than the mode.
  • B. The mean is equal to the median and the mode.
  • C. The mean is greater than the median and mode.
  • D. The mean and median will both be less than the mode.
Correct Answer: C

Rationale: The correct answer is C: The mean is greater than the median and mode. In a highly right-skewed distribution, the mean is pulled towards the higher end by the extreme values, making it greater than the median, which is the middle value. The mode is the most frequent value, which is typically lower than the mean in a right-skewed distribution. In summary, the mean is influenced by extreme values, causing it to be greater than both the median and the mode in a highly right-skewed distribution.