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DOT PLOTS What is a dot plot?
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WHAT IS A DOT PLOT? 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.
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COMMON CORE #43 Interpret differences in shape, center, and spread in the context of data sets, accounting for extreme data points.
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Display the data in a dot plot.
LETS WORK ONE TOGETHER!!!!!!!!!!!!!!!!!!!! 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.
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Airline Training Program Test
ANSWER! Airline Training Program Test New Trainees = 1 person Time in Seconds 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83
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Airline Training Program Test
ARE THERE ANY CLUSTERS? Airline Training Program Test New Trainees = 1 person Time in Seconds Yes! 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83
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Airline Training Program Test
ARE THERE ANY GAPS? Airline Training Program Test New Trainees = 1 person Time in Seconds Yes! 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83
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WHAT IS THE AVERAGE TIME?
Airline Training Program Test New Trainees = 1 person Time in Seconds About 73 seconds 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83
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Airline Training Program Test
WHAT IS THE MEDIAN TIME? Airline Training Program Test New Trainees = 1 person Time in Seconds 73 seconds 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83
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Airline Training Program Test
WHAT IS THE MODE? Airline Training Program Test New Trainees = 1 person Time in Seconds 71 seconds 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83
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Airline Training Program Test
WHAT IS THE RANGE? Airline Training Program Test New Trainees = 1 person Time in Seconds 22 seconds 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83
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WHAT DOES THE MEDIAN REPRESENT?
Airline Training Program Test New Trainees = 1 person Time in Seconds The center of the data set. 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83
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WHAT DOES THE RANGE REPRESENT?
Airline Training Program Test New Trainees = 1 person Time in Seconds The variation in the data set. 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83
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Sample Weights = 1 sample Weight in pounds
USE THIS DOT PLOT TO WRITE ANSWER CHOICES ABOUT CENTRAL TENDENCY! Try to get two or more terms in your sentence(s). Sample Weights = 1 sample Weight in pounds 1 8 2 8 3 8 4 8 5 8 6 8 7 8 1
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USE THIS DOT PLOT TO WRITE QUESTIONS ABOUT CENTRAL TENDENCY!
Sample Weights = 1 sample Weight in pounds Mean is 3/8 or lb Median is 5/16 or lb Mode is 2/8 or 1/4 lb Range is 6/8 or 0.75 lb Cluster at 2/8, ¼ or 0.25lb Gap at 5/8 or lb 1 8 2 8 3 8 4 8 5 8 6 8 7 8 1
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Lets Construct our own dot plot
On your paper, write down two different answers without telling anyone around you what they are. These two numbers should be natural numbers and what you paid on average for a small hamburger and what you paid on average for a large hamburger. We will use all the values to construct a dot plot and find the central measures of tendency.
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EXIT SLIP! A survey of "How long does it take you to eat breakfast?" has these results: 1, 3, 5, 5, 11, 9, 8, 1, 0, 0, 5, 3, 10, 10, 10, 11, 8, 11, 5, 0, 2, 11, 10, 4, 5, 0, 5, 10, 10, 0, 2, 4, 12, 10, 2, 3, 3, 9, 10, 9, 3, 7, Make a dot plot to display this data. Your dot plot will go from 0 to 12!!!!!!!!!!!!! Then find the mean, median, mode, and range.
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