BOX-and-WHISKER PLOT (Box Plot) SP.4 Display numerical data in plots on a number line.

Box-and-Whisker Plots Course 2 7-5 Box-and-Whisker Plots Use the data to make a box-and-whisker plot. 42 22 31 27 24 38 35

Box-and-Whisker Plots Course 2 7-5 Box-and-Whisker Plots STEP 1: ORDER THE DATA FROM LEAST TO GREATEST. 42 22 31 27 24 38 35 22 24 27 31 35 38 42

Box-and-Whisker Plots Course 2 7-5 Box-and-Whisker Plots STEP 2: Draw and label a number line for the data set. 20 22 24 26 28 30 32 34 36 38 40 42

Box-and-Whisker Plots Course 2 7-5 Box-and-Whisker Plots STEP 3: Find the least value (also called the lower extreme or minimum). Place a dot above the # line at this value. 20 22 24 26 28 30 32 34 36 38 40 42

Box-and-Whisker Plots Course 2 7-5 Box-and-Whisker Plots STEP 4: Find the greatest value (also called the upper extreme or maximum). Place a dot above the # line at this value. 20 22 24 26 28 30 32 34 36 38 40 42

Box-and-Whisker Plots Course 2 7-5 Box-and-Whisker Plots STEP 5: Find the median. Place a dot above the # line at this value. 20 22 24 26 28 30 32 34 36 38 40 42

Box-and-Whisker Plots Course 2 7-5 Box-and-Whisker Plots STEP 6: Find the first quartile (also known as the lower quartile). Place a dot above the # line at this value. lower quartile = the median of the lower half of the data 20 22 24 26 28 30 32 34 36 38 40 42

Box-and-Whisker Plots Course 2 7-5 Box-and-Whisker Plots Step 7: Find the third quartile (also known as the upper quartile). Place a dot above the # line at this value. Upper quartile = the median of the upper half of the data 20 22 24 26 28 30 32 34 36 38 40 42

Box-and-Whisker Plots Course 2 7-5 Box-and-Whisker Plots Step 8: Draw a box from the first quartile to the third quartile. 20 22 24 26 28 30 32 34 36 38 40 42

Box-and-Whisker Plots Course 2 7-5 Box-and-Whisker Plots STEP 9: Inside the box, draw a vertical line through the median. 20 22 24 26 28 30 32 34 36 38 40 42

Box-and-Whisker Plots Course 2 7-5 Box-and-Whisker Plots STEP 10: Then draw the “whiskers” from the box to the least and greatest values. 20 22 24 26 28 30 32 34 36 38 40 42

Interquartile Range = The range of the middle half of the data. Third Quartile – First Quartile Interquartile Range

Box-and-Whisker Plots Course 2 7-5 Box-and-Whisker Plots 20 22 24 26 28 30 32 34 36 38 40 42 The interquartile range is 14.

Box-and-Whisker Plots Course 2 7-5 Box-and-Whisker Plots Use the data to make a box-and-whisker plot. 73 67 75 81 67 75 85 69 Step 1: Order the data from least to greatest. 67 69 73 75 81 85

Box-and-Whisker Plots Course 2 7-5 Box-and-Whisker Plots Step 2: Draw and label a number line for the data set. 64 66 68 70 72 74 76 78 80 82 84 86

Box-and-Whisker Plots Course 2 7-5 Box-and-Whisker Plots Steps 3 and 4: Find the least and greatest values and plot them. 64 66 68 70 72 74 76 78 80 82 84 86

Box-and-Whisker Plots Course 2 7-5 Box-and-Whisker Plots Step 5: Find the median and plot it. 67 69 73 75 81 85 + 2 =74 64 66 68 70 72 74 76 78 80 82 84 86

Box-and-Whisker Plots Course 2 7-5 Box-and-Whisker Plots Steps 6 and 7: Find the first quartile and third quartile, and plot both. 67 69 73 75 81 85 67 + 69 first quartile = = 68 2 75 + 81 third quartile = = 78 2

Box-and-Whisker Plots Course 2 7-5 Box-and-Whisker Plots 64 66 68 70 72 74 76 78 80 82 84 86

Box-and-Whisker Plots Course 2 7-5 Box-and-Whisker Plots Step 8: Draw a box from the first to the third quartile. 64 66 68 70 72 74 76 78 80 82 84 86

Box-and-Whisker Plots Course 2 7-5 Box-and-Whisker Plots STEP 9: Inside the box, draw a vertical line through the median. 64 66 68 70 72 74 76 78 80 82 84 86

Box-and-Whisker Plots Course 2 7-5 Box-and-Whisker Plots STEP 10: Then draw the “whiskers” from the box to the least and greatest values. 64 66 68 70 72 74 76 78 80 82 84 86

ASSIGNMENT: Make a box-and-whisker plot for the following data set. 19, 46, 37, 16, 24, 47, 23, 19, 31, 25, 42