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

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

Transcript of 6-7 Dot Plots Objective Create and interpret dot plots.

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

6-7 Dot Plots

Objective

• Create and interpret dot plots.

Page 2: 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.

Cluster Gap

Page 3: 6-7 Dot Plots Objective Create and interpret dot plots.

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.

Page 4: 6-7 Dot Plots Objective Create and interpret dot plots.

STEPS TO CREATE A DOT PLOT

1. Order numbers from least to greatest.2. Draw a number line.3. Label the number line with the minimum

and the maximum then all the numbers in between.

4. Put a dot above each number on the number line for each data entry in your set.

5. Don’t forget a title and labels!

Page 5: 6-7 Dot Plots Objective Create and interpret dot plots.

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

Example 1:

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Airline Training Program TestNew Trainees

Time in Seconds

Page 6: 6-7 Dot Plots Objective Create and interpret dot plots.

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

Example 1:

61

83

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Airline Training Program TestNew Trainees

Time in Seconds

Page 7: 6-7 Dot Plots Objective Create and interpret dot plots.

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 = ??

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About ___ seconds

Example 1: Continued

Page 8: 6-7 Dot Plots Objective Create and interpret dot plots.

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

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About 73 seconds

Example 1: Continued

Page 9: 6-7 Dot Plots Objective Create and interpret dot plots.

C. WHAT IS THE MEDIAN TIME? Airline Training Program Test

New Trainees

= 1 person

Time in Seconds

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83

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_____ seconds

The _____th dot is the median

D. WHAT DOES THE MEDIAN REPRESENT? The center of the data

set.

Example 1: Continued

Page 10: 6-7 Dot Plots Objective Create and interpret dot plots.

C. WHAT IS THE MEDIAN TIME? Airline Training Program Test

New Trainees

= 1 person

Time in Seconds

61

83

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73 secondsThe 10th dot is the

median

D. WHAT DOES THE MEDIAN REPRESENT? The center of the data

set.

Example 1: Continued

Page 11: 6-7 Dot Plots Objective Create and interpret dot plots.

E. WHAT IS THE MODE?

Airline Training Program TestNew Trainees

= 1 person

Time in Seconds

61

83

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_____ seconds

Page 12: 6-7 Dot Plots Objective Create and interpret dot plots.

E. WHAT IS THE MODE?

Airline Training Program TestNew Trainees

= 1 person

Time in Seconds

61

83

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71 seconds

Page 13: 6-7 Dot Plots Objective Create and interpret dot plots.

F. WHAT IS THE RANGE? Airline Training Program Test

New Trainees

= 1 person

Time in Seconds61

83

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G. WHAT DOES THE RANGE REPRESENT?

The variation in the data set.

Page 14: 6-7 Dot Plots Objective Create and interpret dot plots.

F. WHAT IS THE RANGE? Airline Training Program Test

New Trainees

= 1 person

Time in Seconds61

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22 seconds

83 – 61 =

G. WHAT DOES THE RANGE REPRESENT?

The variation in the data set.

Page 15: 6-7 Dot Plots Objective Create and interpret dot plots.

SYMMETRIC Two halves look like mirror

images of each other.

Page 16: 6-7 Dot Plots Objective Create and interpret dot plots.

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

Page 17: 6-7 Dot Plots Objective Create and interpret dot plots.
Page 18: 6-7 Dot Plots Objective Create and interpret dot plots.

Classwork/Homework

6-7 Worksheet