If the distribution of a data set were perfectly symmetrical,the distance from Q1 to the median would always equal the distance from Q3 to the median in a box-and-whisker plot.

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Quizplus · Accepted Answer

If the distribution of the data set is perfectly symmetrical or normal, then the distance from Q1 to the median would be equal to the distance from Q3 to the median. This is because the median divides the data into two equal halves, and in a symmetrical distribution, the quartiles would be equidistant from the median. However, if the distribution is skewed or not perfectly symmetrical, then this would not hold true.

If the Distribution of a Data Set Were Perfectly Symmetrical,the