Which statement best reflects the appropriate measure of central tendency when data contain outliers?

Prepare for the Kentucky Department of Criminal Justice Training Entrance Exam. Engage with quizzes, detailed explanations, and practical tips to excel in your exam efforts. Ready yourself for the test effectively!

Multiple Choice

Which statement best reflects the appropriate measure of central tendency when data contain outliers?

Explanation:
When data include unusually large or small values, you want a measure of central tendency that isn’t dragged toward those extremes. The median fits this need because it reflects the middle position in the ordered data, so extreme outliers have little influence on it. For example, in the set 3, 4, 5, 5, 1000, the median is 5, which represents a typical observation, while the mean becomes heavily skewed by the 1000. The mode is about the most frequent value and can be misleading if outliers create rare values that aren’t representative, and the range describes how spread out the data are rather than a central value. So the median is the best measure in the presence of outliers.

When data include unusually large or small values, you want a measure of central tendency that isn’t dragged toward those extremes. The median fits this need because it reflects the middle position in the ordered data, so extreme outliers have little influence on it. For example, in the set 3, 4, 5, 5, 1000, the median is 5, which represents a typical observation, while the mean becomes heavily skewed by the 1000. The mode is about the most frequent value and can be misleading if outliers create rare values that aren’t representative, and the range describes how spread out the data are rather than a central value. So the median is the best measure in the presence of outliers.

Subscribe

Get the latest from Passetra

You can unsubscribe at any time. Read our privacy policy