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6-7

6-7. Dot Plots. Objective Create and interpret dot plots. . Dot Plot. A data display in which each data item is shown as a dot above a number line (like a histogram, but with dots) Cluster : group of data points Gap : where there are no data items. . Gap. Cluster.

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6-7

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  1. 6-7 Dot Plots • Objective • Create and interpret dot plots.

  2. Dot Plot • A data display in which each data item is shown as a dot above a number line (like a histogram, but with dots) • Cluster: group of data points • Gap: where there are no data items. Gap Cluster

  3. Dot Plot (Number line Plot) • A statistical graphic where dots represent data values and are plotted above a number line. Example: Suppose you count the number of students in each Algebra 1 classroom in your school. In your data there are only a few classrooms, you can use a line plot to organize.

  4. Steps to Create a Dot Plot • Order numbers from least to greatest. • Draw a number line. • Label the number line with the minimum and the maximum then all the numbers in between. • Put a dot above each number on the number line for each data entry in your set. • Don’t forget a title and labels!

  5. Example 1: 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 A. Display the data in a dot plot. = 1 person Airline Training Program Test New Trainees 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

  6. Example 1: 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 A. Display the data in a dot plot. = 1 person Airline Training Program Test New Trainees 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

  7. Example 1: Continued B. What is the average time? Airline Training Program Test New Trainees = 1 person Time in Seconds 61(__) + 64 + 67 + 70 + 71(__) + 72 + 73 + 74(__) + 75 + 77 + 79 + 80 + 81(__) + 83 _____/19 = ?? 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 About ___ seconds

  8. Example 1: Continued B. What is the average time? Airline Training Program Test New Trainees = 1 person Time in Seconds 61(2) + 64 + 67 + 70 + 71(3) + 72 + 73 + 74(2) + 75 + 77 + 79 + 80 + 81(2) + 83 1385/19 = 72.895 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 About 73 seconds

  9. Example 1: Continued C. What is the median time? Airline Training Program Test New Trainees = 1 person Time in Seconds _____ seconds The _____thdot is the median 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 D. What does the median represent? The center of the data set.

  10. Example 1: Continued C. What is the median time? Airline Training Program Test New Trainees = 1 person Time in Seconds 73 seconds The 10th dot is the median 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 D. What does the median represent? The center of the data set.

  11. E. What is the Mode? Airline Training Program Test New Trainees = 1 person Time in Seconds _____ seconds 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83

  12. E. 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

  13. F. What is the Range? 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 G. What does the range represent? The variation in the data set.

  14. F. What is the Range? Airline Training Program Test New Trainees = 1 person Time in Seconds 83 – 61 = 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 G. What does the range represent? The variation in the data set.

  15. Symmetric • Two halves look like mirror images of each other.

  16. Tail • Some distributions have a tail stretching left or right. These are seen in distributions that are skewed to the left (Negative) or skewed to the right (Positive) Skewed to the right Skewed to the left

  17. Classwork/Homework 6-7Worksheet

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