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

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Presentation on theme: "Probability & Statistics – Day 8  Frequency Distributions  Assignment  Return Chapter 1 Test 1."— Presentation transcript:

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

2 Chapter 2 FREQUENCY DISTRIBUTIONS AND GRAPHS 2

3 Key Terms  Raw Data: data collected in original form.  Ex: What town/city do you live in? 3

4 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). 4

5 Categorical Frequency Distributions CATEGORYFREQUENCYPERCENT 5

6 Types of Frequency Distributions  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. 6

7 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. 7

8 Grouped Frequency Distributions 8

9 CLASS LIMITBOUNDARIESFREQUENCYCUMULATIVE FREQ 9

10 Assignment  Review procedures for creating frequency distributions.  Page 40: 3-5 10

11 Probability & Statistics – Day 9  Homework Solutions – Page 40: 3-5  Review Categorical and Grouped Frequency Distributions  Ungrouped Frequency Distributions  Assignment 11

12 Types of Frequency Distributions  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. 12

13 Ungrouped Frequency Distribution CLASSBOUNDARIESFREQUENCYCUMULATIVE FREQ 13

14 In-Class Assignment  Pages 41-42: 7-11, 16 14

15 Probability & 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? 15

16 Probability & Statistics – Day 10  Homework Solutions – Page 41: 7-11, 16  Comparisons and Conclusions  Review Frequency Distributions/More Practice  Frequency Distribution Worksheet 16

17 Page 41: 7 ZIP CODEFREQUENCYPERCENT 15130525% 15131315% 15132315% 15133735% 15134210% 17

18 Page 41: 8 CLASS RANKFREQUENCYPERCENT FR1845% SO1230% JR615% SR410% 18

19 Page 41: 9 CLASSBOUNDARIESFREQUENCYCUMULATIVE FREQ 0-0.5 – 0.555 10.5 – 1.5813 21.5 – 2.51023 32.5 – 3.5225 43.5 – 4.5328 54.5 – 5.5230 19

20 Page 41: 10 CLASSBOUNDARIESFREQUENCYCUMULATIVE FREQ 5-74.5 – 7.522 8-107.5 – 10.535 11-1310.5 – 13.5611 14-1613.5 – 16.5516 17-1916.5 – 19.5319 20-2219.5 – 22.5120

21 Page 41: 11 CLASSBOUNDARIESFREQUENCYCUMULATIVE FREQ 21-5320.5-53.522 54-8653.5-86.502 87-11986.5-119.513 120-152119.5-152.514 153-185152.5-185.526 186-218185.5-218.51016 219-251218.5-251.5925 252-284251.5-284.5934 285-317284.5-317.5539 318-350317.5-350.5443 351-383350.5-383.5548 384-416383.5-416.5149 21

22 Page 41: 16 CLASSBOUNDARIESFREQUENCYCUMULATIVE FREQ 5-1014.5-101.517 102-198101.5-198.5623 199-295198.5-295.5629 296-392295.5-392.5231 393-489392.5-489.5233 490-586489.5-586.5336 587-683586.5-683.5137 684-780683.5-780.5239 22

23 Additional Group Practice  Pages 41-42: 12, 17-18 (must have to observations for each)  Frequency Distribution Quiz Tomorrow 23

24 Page 41: 12 CLASSBOUNDARIESFREQUENCYCUMULATIVE FREQ 0.6-1.00.55-1.0522 1.1-1.51.05-1.5524 1.6-2.01.55-2.05711 2.1-2.52.05-2.55516 2.6-3.02.55-3.05622 3.1-3.53.05-3.55527 3.6-4.03.55-4.05532 24

25 Probability & Statistics – Day 11  Frequency Distribution Quiz  Chapter One Review Activity (due tomorrow)  Read pp. 44-53 25


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