Calculating Mean, Median or Mode for Ace-Inhibitor Patients

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The discussion centers on estimating the central tendency of ace-inhibitor levels among patients, focusing on mean, median, and mode. The data shows a significant number of zero measurements, which are considered outliers. The median is suggested as the best measure due to its resistance to skewed data and outliers, with a calculated median of 12.5 compared to a mean of 9.8. However, the phrasing in the homework prompt regarding the "most common level" raises questions about whether mode might also be relevant. Ultimately, the consensus leans towards using the median for a more accurate representation of central tendency in this skewed dataset.
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Homework Statement



You are asked to estimate of the most common level of a ace-inhibitor taken by patients who take the drug. Give your best estimate of central tendency.

These are the measurements
0.0 12.5 13.6 14.5 12.0 13.2
0.0 0.0 13.1 14.2 12.5 12.2


Homework Equations



Mean, Median or mode

The Attempt at a Solution



I know it is definitely not the mode. I am stuck between the mean and the median. The median should be used when skewed data is present because it is less sensitive to outliers. This data is skewed because the median (12.5) is greater than the mean (9.8)

However, should those patients with measurements of be considered outliers because three of them had this measurement.

Help please
 
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Yes, those "0"s are definitely outliers!
 
I agree that the median would be the best estimate of central tendency, but the phrase "You are asked to estimate of the most common level" stick out at me. That wording isn't often used as a description of what either the mean or median provide.
 
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