DOT PLOTS DEFINITION A data display in which each data item is shown as a dot above a number line In a dot plot a cluster shows where a group of data points fall. A gap is an interval where there are no data items. HOW TO MAKE A DOT PLOT VIDEO STEPS TO CREATE A DOT PLOT 1. 2. 3. 4. 5. Order numbers from least to greatest. Draw a number line. Label the number line with the minimum and the maximum then all the numbers that fall between them. Put a dot above each number on the number line for each data entry in your set. Don’t forget a title and labels! YOU TRY IT! A. In an airline training program, the students are given a test in which they are given a set of tasks and the time it takes them to complete the tasks is measured. The following is a list of the time (in seconds) for a group of new trainees. 61, 61, 64, 67, 70, 71, 71, 71, 72, 73, 74, 74, 75, 77, 79, 80, 81, 81, 83 Display the data in a dot plot. ANSWER! Airline Training Program Test New Trainees = 1 person 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 Time in Seconds ARE THERE ANY CLUSTERS? Airline Training Program Test New Trainees Yes! = 1 person 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 Time in Seconds ARE THERE ANY GAPS? Airline Training Program Test New Trainees Yes! = 1 person 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 Time in Seconds WHAT IS THE AVERAGE TIME? Airline Training Program Test New Trainees = 1 person 61 About 73 seconds 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 Time in Seconds WHAT IS THE MEDIAN TIME? Airline Training Program Test New Trainees = 1 person 61 73 seconds 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 Time in Seconds WHAT IS THE MODE? Airline Training Program Test New Trainees = 1 person 61 71 seconds 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 Time in Seconds WHAT IS THE RANGE? Airline Training Program Test New Trainees = 1 person 61 22 seconds 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 Time in Seconds WHAT DOES THE MEDIAN REPRESENT? Airline Training Program Test New Trainees = 1 person 61 The center of the data set. 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 Time in Seconds WHAT DOES THE RANGE REPRESENT? Airline Training Program Test New Trainees = 1 person 61 The variation in the data set. 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 Time in Seconds TRY AGAIN! In a science class, the students weighed some samples of dirt to the nearest 1/8 pound. The weights of the samples are given below. 1/8 lb, 3/8 lb, ¾ lb, ¼ lb, 1/8 lb, ¼ lb, 7/8 lb, ¼ lb, 3/8 lb, ¼ lb, ½ lb, 3/8 lb B. Make a dot plot for the data. ANSWER! Sample Weights = 1 sample 0 1 8 2 8 3 8 4 8 5 8 6 8 Weight in pounds 7 8 1 ARE THERE ANY CLUSTERS? Sample Weights Yes! = 1 sample 0 1 8 2 8 3 8 4 8 5 8 6 8 Weight in pounds 7 8 1 ARE THERE ANY GAPS? Sample Weights Yes! = 1 sample 0 1 8 2 8 3 8 4 8 5 8 6 8 Weight in pounds 7 8 1 WHAT IS THE AVERAGE WEIGHT? Sample Weights 3/8 or 0.375 lb = 1 sample 0 1 8 2 8 3 8 4 8 5 8 6 8 Weight in pounds 7 8 1 WHAT IS THE MEDIAN? Sample Weights 5/16 or 0.3125 lb = 1 sample 0 1 8 2 8 3 8 4 8 5 8 6 8 Weight in pounds 7 8 1 WHAT IS THE MODE? Sample Weights 2/8 or 1/4 lb = 1 sample 0 1 8 2 8 3 8 4 8 5 8 6 8 Weight in pounds 7 8 1 WHAT IS THE RANGE? Sample Weights 6/8 or 0.75 lb = 1 sample 0 1 8 2 8 3 8 4 8 5 8 6 8 Weight in pounds 7 8 1 WHAT DOES THE AVERAGE REPRESENT? Sample Weights The center of the data set. = 1 sample 0 1 8 2 8 3 8 4 8 5 8 6 8 Weight in pounds 7 8 1 WHAT DOES THE RANGE REPRESENT? Sample Weights The variation in the data set. = 1 sample 0 1 8 2 8 3 8 4 8 5 8 6 8 Weight in pounds 7 8 1 EXIT SLIP! Mrs. Whitesides took a survey of ten 6th grade students. She asked each student how many items they recycle in a day. Below are her results. 0, 1, 1, 1, 2, 2, 2, 3, 3, 5 Make a dot plot to display this data.