Probability & Statistics – Day 8 Frequency Distributions Assignment Return Chapter 1 Test 1.

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Probability & Statistics – Day 8

Frequency Distributions

Assignment

Return Chapter 1 Test

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Chapter 2FREQUENCY DISTRIBUTIONS AND GRAPHS

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Key Terms

Raw Data: data collected in original form.

Ex: What town/city do you live in?

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Types of Frequency Distributions

Categorical: used for data that can be placed in specific categories (nominal and ordinal).

Ex: political affiliation, religious affiliation, or major field of study.

Uses 3 columns: CLASS, FREQUENCY, PERCENT (nearest tenth).

5Categorical Frequency Distributions

CATEGORY FREQUENCY PERCENT

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Grouped: used when the range of data is large; data is grouped into classes that are more than one unit.

Ex: minutes traveling, miles traveled

Uses 4 columns: CLASS LIMITS, CLASS BOUNDARIES, FREQUENCY, CUMULATIVE FREQUENCY.

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Grouped Frequency Distributions

Determining classes:

1) Approximately 5-20 classes.

2) Class width should be an odd number.

3) Classes must be mutually exclusive.

4) Classes must be continuous.

5) Classes must be exhaustive.

6) Classes must be equal in width.

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Class Limits: lowest limit and upper limit of each class (same place value as raw data)

Class Boundaries: separate classes so there are no gaps (one additional place value than raw data – end in )

Class Width: Range Number of Classes

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CLASS LIMIT BOUNDARIES FREQUENCY CUMULATIVE FREQ

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Assignment

Review procedures for creating frequency distributions.

Page 40: 3-5

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Homework Solutions – Page 40: 3-5

Review Categorical and Grouped Frequency Distributions

Ungrouped Frequency Distributions

Assignment

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Ungrouped: used when the range of data is relatively small; a single data value is used for each class.

Ex: age of students in high school

Uses 4 columns: CLASS LIMITS, CLASS BOUNDARIES, FREQUENCY, CUMULATIVE FREQUENCY.

13Ungrouped Frequency Distribution

CLASS BOUNDARIES FREQUENCY CUMULATIVE FREQ

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In-Class Assignment

Pages 41-42: 7-11, 16

15Probability & Statistics – Bell Ringer

If a frequency distribution has a class with the class limits of 12-18:

1. What is the width?

2. What are the class boundaries?

3. What would be the next four classes?

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Homework Solutions – Page 41: 7-11, 16

Comparisons and Conclusions

Review Frequency Distributions/More Practice

Frequency Distribution Worksheet

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Page 41: 7

ZIP CODE FREQUENCY PERCENT

15130 5 25%

15131 3 15%

15132 3 15%

15133 7 35%

15134 2 10%

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Page 41: 8

CLASS RANK FREQUENCY PERCENT

FR 18 45%

SO 12 30%

JR 6 15%

SR 4 10%

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Page 41: 9


0 -0.5 – 0.5 5 5

1 0.5 – 1.5 8 13

2 1.5 – 2.5 10 23

3 2.5 – 3.5 2 25

4 3.5 – 4.5 3 28

5 4.5 – 5.5 2 30

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Page 41: 10


5-7 4.5 – 7.5 2 2

8-10 7.5 – 10.5 3 5

11-13 10.5 – 13.5 6 11

14-16 13.5 – 16.5 5 16

17-19 16.5 – 19.5 3 19

20-22 19.5 – 22.5 1 20

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Page 41: 11


21-53 20.5-53.5 2 2

54-86 53.5-86.5 0 2

87-119 86.5-119.5 1 3

120-152 119.5-152.5 1 4

153-185 152.5-185.5 2 6

186-218 185.5-218.5 10 16

219-251 218.5-251.5 9 25

252-284 251.5-284.5 9 34

285-317 284.5-317.5 5 39

318-350 317.5-350.5 4 43

351-383 350.5-383.5 5 48

384-416 383.5-416.5 1 49

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Page 41: 16


5-101 4.5-101.5 17 17

102-198 101.5-198.5 6 23

199-295 198.5-295.5 6 29

296-392 295.5-392.5 2 31

393-489 392.5-489.5 2 33

490-586 489.5-586.5 3 36

587-683 586.5-683.5 1 37

684-780 683.5-780.5 2 39

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Additional Group Practice

Pages 41-42: 12, 17-18 (must have to observations for each)

Frequency Distribution Quiz Tomorrow

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Page 41: 12


0.6-1.0 0.55-1.05 2 2

1.1-1.5 1.05-1.55 2 4

1.6-2.0 1.55-2.05 7 11

2.1-2.5 2.05-2.55 5 16

2.6-3.0 2.55-3.05 6 22

3.1-3.5 3.05-3.55 5 27

3.6-4.0 3.55-4.05 5 32

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Frequency Distribution Quiz

Chapter One Review Activity (due tomorrow)

Read pp. 44-53

Probability & Statistics – Day 8 Frequency Distributions Assignment Return Chapter 1 Test 1.

Documents

Transcript of Probability & Statistics – Day 8 Frequency Distributions Assignment Return Chapter 1 Test 1.