Imagine we have a symmetric data set for which we have calculated various statistics, but then a single very large outlier is added to it. When we recalculate the statistics, which of the following things is NOT true?

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Quizplus · Accepted Answer

The median, being a measure of central tendency that divides a dataset into two equal halves, is less sensitive to outliers compared to the mean. Therefore, adding a single very large outlier to a symmetric dataset would significantly affect the mean, standard deviation, and variance, but the median might remain unchanged or change very little, especially if the dataset is large.

Imagine We Have a Symmetric Data Set for Which We