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Central Tendency in a Symmetrical Distribution
When a distribution shape is both unimodal (having one peak) and perfectly symmetrical, all three measures of central tendency—the mean, the median, and the mode—will be located very close to each other exactly at the peak of the distribution.
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Research Methods in Psychology - 4th American Edition @ KPU
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Example of a Symmetrical Distribution
Central Tendency in a Symmetrical Distribution
What is the primary characteristic of a symmetrical distribution in descriptive statistics?
A researcher collects anxiety scores from 200 participants and plots them in a histogram. She notices that the left half of the histogram is a mirror image of the right half, with a single central peak. Based on this shape, the mean and the median of the anxiety scores should be approximately equal.