STT-2810 Lecture Notes - Lecture 4: Unimodality, Interquartile Range, Box Plot
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The 5-number summary provides a numerical description of the data. The 5-number summary consists of: minimum, first quartile (q1, median, third quartile (q3, maximum. A boxplot is a chart that displays the 5-point summary and the outliers. The box shows the iqr (interquartile range) The dashed lines are called fences, outside the fences lie the outliers. Above and below the box are the whiskers that display the most extreme data values within the fences. The line inside the box shows the median. The lower fence is defined by: lower fence = q1 1. 5 x iqr. The upper fence is defined by: upper fence = q3 + 1. 5 x iqr. 3. 6 the center of symmetric distributions: the mean. The mean is what most people think of as the average. Add up all the numbers and divide by the number of numbers. If you put your finger on the mean, the histogram will balance perfectly.
