Lesson LESSON 27 Overview Make Line Plots and Interpret Data
6-7 Dot Plots Objective Create and interpret dot plots.
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Transcript of 6-7 Dot Plots Objective Create and interpret dot plots.
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
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.
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!
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
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
Airline Training Program TestNew Trainees
Time in Seconds
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
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
Airline Training Program TestNew Trainees
Time in Seconds
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
83
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
About ___ seconds
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
83
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
About 73 seconds
Example 1: Continued
C. WHAT IS THE MEDIAN TIME? Airline Training Program Test
New Trainees
= 1 person
Time in Seconds
61
83
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
_____ seconds
The _____th dot is the median
D. WHAT DOES THE MEDIAN REPRESENT? The center of the data
set.
Example 1: Continued
C. WHAT IS THE MEDIAN TIME? Airline Training Program Test
New Trainees
= 1 person
Time in Seconds
61
83
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
73 secondsThe 10th dot is the
median
D. WHAT DOES THE MEDIAN REPRESENT? The center of the data
set.
Example 1: Continued
E. WHAT IS THE MODE?
Airline Training Program TestNew Trainees
= 1 person
Time in Seconds
61
83
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
_____ seconds
E. WHAT IS THE MODE?
Airline Training Program TestNew Trainees
= 1 person
Time in Seconds
61
83
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
71 seconds
F. WHAT IS THE RANGE? Airline Training Program Test
New Trainees
= 1 person
Time in Seconds61
83
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
G. WHAT DOES THE RANGE REPRESENT?
The variation in the data set.
F. WHAT IS THE RANGE? Airline Training Program Test
New Trainees
= 1 person
Time in Seconds61
83
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
22 seconds
83 – 61 =
G. WHAT DOES THE RANGE REPRESENT?
The variation in the data set.
SYMMETRIC Two halves look like mirror
images of each other.
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
Classwork/Homework
6-7 Worksheet