Which of the following statistics is not a measure of central tendency?

Question

BlackTom AI · Accepted Answer

To determine which statistic does not describe a central tendency, we first recall what central tendency measures aim to capture: a typical or central value around which data clusters.
Option: Median. The median is a classic measure of central tendency because it locates the middle value of a data set when ordered, summarizing a central point that splits the data into two halves.
Option: Arithmetic mean. The arithmetic mean (the simple average) is another standard measure of central tendency, representing the balance point of the data and providing a central value that minimizes squared deviations.
Option: Quartile 3. Quartile 3, or the third quartile (Q3), indicates a position in the data — specifically, the value below which 75% of the data fall. While it tells us about where a portion of the data lies, it is not a single representative central value; it describes a boundary or percentile, i.e., a measure of dispersion/position rather than central tendency.
Option: Mode. The mode is also a measure of central tendency in that it identifies the most frequently occurring value, which serves as a representative value for datasets with repeated observations.
In summary, the first, second, and fourth options (median, mean, and mode) all convey a central value around which data cluster, whereas quartile 3 communicates a data-position boundary rather than a single central summary statistic.

COMM 291 Practice Quiz- Module 3

Which of the following statistics is not a measure of central tendency?

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