intro stats lesson 2.1 b objective: ssbat construct an expanded frequency distribution chart
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Intro Stats Lesson 2.1 B Objective: SSBAT construct an expanded frequency distribution chart. Standards: S2.5B. Expanded Frequency Distribution Adds 3 more columns to the frequency distribution from yesterday - Midpoints, Relative Frequency, and Cumulative Frequency - PowerPoint PPT PresentationTRANSCRIPT
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Intro Stats
Lesson 2.1 B
Objective: SSBAT construct an expanded frequency distribution chart.
Standards: S2.5B
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Expanded Frequency Distribution
Adds 3 more columns to the frequency distribution from yesterday - Midpoints, Relative Frequency, and Cumulative Frequency
These 3 columns will help to provide a better understanding of the data
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Midpoint of a Class
The Average of the lower and upper limit of each class
Midpoint of Class =
You will use this formula for each row of the frequency distribution
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Relative Frequency
The portion or percentage of the data that falls in that class
Divide the Frequency of that Class by the number of data entries
Relative Frequency =
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Cumulative Frequency
The sum of the Frequency for that class and all previous class frequencies
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1. Find the Midpoints, Relative Frequency and Cumulative Frequency for the following.
Class Tally Frequency (f)
Midpoint Relative Frequency
Cumulative Frequency
2 – 7 lllllll 7
8 – 13 lllllllllll 11
14 – 19 lllllll 7
20 – 25 lllllll 7
26 – 31 llll 4
Σf = 36
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Problem 1 continued.
Midpoints
= 4.5
= 10.5
= 16.5
= 22.5
= 28.5
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Class Tally Frequency (f)
Midpoint Relative Frequency
Cumulative Frequency
2 – 7 lllllll 7 4.5
8 – 13 lllllllllll 11 10.5
14 – 19 lllllll 7 16.5
20 – 25 lllllll 7 22.5
26 – 31 llll 4 28.5
Σf = 36
Problem 1 continued.
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Relative Frequency =
Class Tally Frequency (f)
Midpoint Relative Frequency
Cumulative Frequency
2 – 7 lllllll 7 4.5
8 – 13 lllllllllll 11 10.5
14 – 19 lllllll 7 16.5
20 – 25 lllllll 7 22.5
26 – 31 llll 4 28.5
Σf = 36
.19
.31
.19
.19
.11
Problem 1 continued.
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Cumulative Frequency The sum of the Frequency for that class and all previous classes
Class Tally Frequency (f)
Midpoint Relative Frequency
Cumulative Frequency
2 – 7 lllllll 7 4.5 .19
8 – 13 lllllllllll 11 10.5 .31
14 – 19 lllllll 7 16.5 .19
20 – 25 lllllll 7 22.5 .19
26 – 31 llll 4 28.5 .11
Σf = 36
718253236
Problem 1 continued.
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2. Find the Midpoints, Relative Frequency and Cumulative Frequency for the following.
Class Frequency Midpoint Relative Frequency
Cumulative Frequency
7 – 18 6 19 – 30 10 31 – 42 13 43 – 54 8 55 – 66 5 67 – 78 6 79 – 90 2
∑f = 50
12.524.5
36.5
48.5
60.5
72.584.5
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2. Relative Frequency Frequency ÷ Total #
Class Frequency Midpoint Relative Frequency
Cumulative Frequency
7 – 18 6 19 – 30 10 31 – 42 13 43 – 54 8 55 – 66 5 67 – 78 6 79 – 90 2
∑f = 50
12.524.5
36.5
48.560.5
72.584.5
.12.2
.26
.16
.1
.12
.04
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2. Cumulative Frequency Class Frequency + Above Frequencies
Class Frequency Midpoint Relative Frequency
Cumulative Frequency
7 – 18 6 19 – 30 10 31 – 42 13 43 – 54 8 55 – 66 5 67 – 78 6 79 – 90 2
∑f = 50
12.524.5
36.5
48.5
60.5
72.5
84.5
.12.2
.26
.16
.1
.12
.04
616
29
37
42
48
50
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Example Three is worksheet 2.1 B
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Class Frequency Midpoint Relative Frequency
Cumulative Frequency
1 – 5 5 6 – 10 8
11 – 15 4 16 – 20 7 21 – 25 6 26 – 30 4
∑f = 34
4. Find the Midpoints, Relative Frequency and Cumulative Frequency for the following.
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4. Answers to #3
Class Frequency Midpoint Relative Frequency
Cumulative Frequency
1 – 5 5 3 .15 5 6 – 10 8 8 .24 13
11 – 15 4 13 .12 1716 – 20 7 18 .21 2421 – 25 6 23 .18 3026 – 30 4 28 .12 34
∑f = 34
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Homework
Worksheet 2.1 B