Top Banner
Intro Stats Lesson 2.1 B Objective: SSBAT construct an expanded frequency distribution chart. Standards: S2.5B
19

Intro Stats Lesson 2.1 B Objective: SSBAT construct an expanded frequency distribution chart. Standards: S2.5B.

Dec 31, 2015

Download

Documents

Arnold Potter
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Page 1: Intro Stats Lesson 2.1 B Objective: SSBAT construct an expanded frequency distribution chart. Standards: S2.5B.

Intro Stats

Lesson 2.1 B

Objective: SSBAT construct an expanded frequency distribution chart.

Standards: S2.5B

Page 2: 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

These 3 columns will help to provide a better understanding of the data

Page 3: Intro Stats Lesson 2.1 B Objective: SSBAT construct an expanded frequency distribution chart. Standards: S2.5B.

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

Page 4: Intro Stats Lesson 2.1 B Objective: SSBAT construct an expanded frequency distribution chart. Standards: S2.5B.

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 =

Page 5: Intro Stats Lesson 2.1 B Objective: SSBAT construct an expanded frequency distribution chart. Standards: S2.5B.

Cumulative Frequency

The sum of the Frequency for that class and all previous class frequencies

Page 6: Intro Stats Lesson 2.1 B Objective: SSBAT construct an expanded frequency distribution chart. Standards: S2.5B.
Page 7: Intro Stats Lesson 2.1 B Objective: SSBAT construct an expanded frequency distribution chart. Standards: S2.5B.

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

Page 8: Intro Stats Lesson 2.1 B Objective: SSBAT construct an expanded frequency distribution chart. Standards: S2.5B.

Problem 1 continued.

Midpoints

= 4.5

= 10.5

= 16.5

= 22.5

= 28.5

Page 9: Intro Stats Lesson 2.1 B Objective: SSBAT construct an expanded frequency distribution chart. Standards: S2.5B.

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.

Page 10: Intro Stats Lesson 2.1 B Objective: SSBAT construct an expanded frequency distribution chart. Standards: S2.5B.

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.

Page 11: Intro Stats Lesson 2.1 B Objective: SSBAT construct an expanded frequency distribution chart. Standards: S2.5B.

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.

Page 12: Intro Stats Lesson 2.1 B Objective: SSBAT construct an expanded frequency distribution chart. Standards: S2.5B.
Page 13: Intro Stats Lesson 2.1 B Objective: SSBAT construct an expanded frequency distribution chart. Standards: S2.5B.

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

Page 14: Intro Stats Lesson 2.1 B Objective: SSBAT construct an expanded frequency distribution chart. Standards: S2.5B.

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

Page 15: Intro Stats Lesson 2.1 B Objective: SSBAT construct an expanded frequency distribution chart. Standards: S2.5B.

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

Page 16: Intro Stats Lesson 2.1 B Objective: SSBAT construct an expanded frequency distribution chart. Standards: S2.5B.

Example Three is worksheet 2.1 B

Page 17: Intro Stats Lesson 2.1 B Objective: SSBAT construct an expanded frequency distribution chart. Standards: S2.5B.

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.

Page 18: Intro Stats Lesson 2.1 B Objective: SSBAT construct an expanded frequency distribution chart. Standards: S2.5B.

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

Page 19: Intro Stats Lesson 2.1 B Objective: SSBAT construct an expanded frequency distribution chart. Standards: S2.5B.

Homework

Worksheet 2.1 B