Name:________________________ TOPIC: Box and Whisker plots Objective Create a box and whisker plot that represents a given data set. A box-and-whisker plot is a graph (a drawing) that summarizes a data set. A box-and-whisker plot has four parts. Each part is called a ________________________. Each part represents ______________ of the data. 0 2 4 6 8 10 12 14 What is the median of the data set? ______ What is the range of the data? _______________ What is the interquartile range of the data? ___________ What is the lowest value in the data set? ________ The highest value of the data set? ________ Does this data set include a data point with a value of 16? ________ What percent of the data is: Between the values 2 and 5? _________ …between the 7 and 14? ___________ …between the values of 2 and 12? ___________ What percent of the data is between the interquartile range? ___________ 16 Creating a box-and-whisker plot from a given data set: Write the data numbers in increasing order. The first and last number will be the (1) minimum and (2) maximum values. Find the (3) median, circle it with a solid circle. Next, find the “median” of each half of the data set, (to the left and right of the median). These are the (4) upper and (5) lower quartile values. Draw the box-and-whisker plot using these 5 numbers. 6, 8, 4, 12, 5, 8, 2, 10, 7, 3, 9 Creating a box-and-whisker plot using the calculator Press Press A list of results will show. Press Find MIN, Q1, MEDIAN, Q3, and MAX on the list. These are the 5 numbers you need to create the box-andwhisker plot. , then enter your list of data points. to scroll down. Use the calculator to create a box and whisker plot for : 3, 8, 6, 7, 8, 1, 4, 3, 9, 5, 2 Interpreting a box-and-whisker plot Case 1: Number of points is a multiple of 4 If the box and whisker plot to the right represents a data set with 32 data points, how many data points…. are between 14 and 23? ______________ are between 11 and 19? ______________ are greater than 21?______________ are between the interquartile range? _________ 9 11 13 15 19 17 21 23 25 Case 2: Number of points is NOT a multiple of 4 If the box and whisker plot to the right represents a data set with 9 data points, how many data points…. are between 30 and 34? ______________ are larger than the median? _______________ are 33 or less? _______________ 24 26 28 30 32 34 36 38 40