MATH 10041 Chapter Notes - Chapter 3.3-3.5: Quartile
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Median: the value that would be right in the middle if you were to sort the data from smallest to largest: a numerical summary, measures the center of a distribution. It is the value that has roughly the same number of observations above it and below it: to measure the typical value in a data set, particularly when the distribution is skewed. Q1: roughly or 25% of the observations at or below it. Q2: roughly or 50% at or below it, just another name for the median. Q3: roughly or 75% of the observations at or below it. Range: the distance spanned by the entire data set. Resistant to outliers: when the median is resistant to outliers, it is not affected by the size of an outlier and does not change even if a particular outlier is replaced by an even more extreme value. The left edge of the box is at q1, and the right edge is at q3.