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Lesson 4.2 Two-Way Frequency Tables S.ID.5

Lesson 4.2 Two-Way Frequency Tables S.ID.5 Summarize categorical data for two categories in two-way frequency tables. Interpret frequencies in context of given data. Introduction to Two-Way Frequency Tables. Introduction

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Lesson 4.2 Two-Way Frequency Tables S.ID.5

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  1. Lesson 4.2 Two-Way Frequency Tables S.ID.5 Summarize categorical data for two categories in two-way frequency tables. Interpret frequencies in context of given data. 4.2.1: Summarizing Data Using Two-Way Frequency Tables

  2. Introduction to Two-Way Frequency Tables 4.2.1: Summarizing Data Using Two-Way Frequency Tables

  3. Introduction Information about people who are surveyed can be captured in two-way frequency tables. A two-way frequency table is a table of data that separates responses by a characteristic of the respondents. 4.2.1: Summarizing Data Using Two-Way Frequency Tables

  4. Vocabulary A joint frequency is the number of responses for a given characteristic. The entries in the cells of a two-way frequency table are joint frequencies. In the sample table, a, b, c, and d are each joint frequencies. 4.2.1: Summarizing Data Using Two-Way Frequency Tables

  5. Vocabulary A marginal frequency is the total number of times a response was given, or the total number of respondents with a given characteristic. This is the sum of either a row or a column in a two-way frequency table. In the sample table, a + b would be the marginal frequency of people with Characteristic 1. a + b 4.2.1: Summarizing Data Using Two-Way Frequency Tables

  6. Guided Practice Example 1a Create a Two-Way Frequency Table given the following information: Heather is a hairdresser. She is making a record of all the customers she has had in the last month. Identify your characteristics: Design a table that will show the number of male and female customers who are blond or brunette. Hair Color Gender Blonde Brunette Female Male 4.2.1: Summarizing Data Using Two-Way Frequency Tables

  7. Guided Practice Example 1a Create a Two-Way Frequency Table given the following information: Heather is a hairdresser. She is making a record of all the customers she has had in the last month. Fill in the values for the given characteristic. In one month she has 40 blond females and only 5 blond males. Put these values in the table. Hair Color Gender Blonde Brunette Female 40 5 Male 4.2.1: Summarizing Data Using Two-Way Frequency Tables

  8. Guided Practice Example 1a Create a Two-Way Frequency Table given the following information: Heather is a hairdresser. She is making a record of all the customers she has had in the last month. Fill in the values for the next characteristic. In the same month, she had 25 brunette females and 20 brunette males. Put these values in the table. Hair Color Gender Blonde Brunette Female 40 25 5 20 Male 4.2.1: Summarizing Data Using Two-Way Frequency Tables

  9. Example 1b Create a Two-Way Frequency Table given the following information: Steven is trying to decide on players for a soccer team for a big competition. He decides to look at the strike rate for three of his attackers. Design a table for Steven, showing the number of goals scored and the number of appearances for three players; Jermain, Wayne and Peter. Strike Rate Player Goals Scored Appearances Jermain Wayne Peter 4.2.1: Summarizing Data Using Two-Way Frequency Tables

  10. Guided Practice Example 1b Create a Two-Way Frequency Table given the following information: Steven is trying to decide on players for a soccer team for a big competition. He decides to look at the strike rate for three of his attackers. Wayne has scored 11 goals in 28 appearances, Put these values in your table. Strike Rate Player Goals Scored Appearances Jermain 11 Wayne 28 Peter 4.2.1: Summarizing Data Using Two-Way Frequency Tables

  11. Guided Practice Example 1b Create a Two-Way Frequency Table given the following information: Steven is trying to decide on players for a soccer team for a big competition. He decides to look at the strike rate for three of his attackers. Peter has scored no goals in just 4 appearances, and Put these values in your table. Strike Rate Player Goals Scored Appearances Jermain 11 Wayne 28 0 Peter 4 4.2.1: Summarizing Data Using Two-Way Frequency Tables

  12. Guided Practice Example 1b Create a Two-Way Frequency Table given the following information: Steven is trying to decide on players for a soccer team for a big competition. He decides to look at the strike rate for three of his attackers. Jermain has scored 1 goal in 15 appearances. Put these values in your table. Strike Rate Player Goals Scored Appearances 1 Jermain 15 11 Wayne 28 4 0 Peter 4.2.1: Summarizing Data Using Two-Way Frequency Tables

  13. Guided Practice Example 1b Create a Two-Way Frequency Table given the following information: Steven is trying to decide on players for a soccer team for a big competition. He decides to look at the strike rate for three of his attackers. If you were Sven who would be your 1st choice striker? Strike Rate Player Goals Scored Appearances 1 Jermain 15 11 Wayne 28 4 0 Peter 4.2.1: Summarizing Data Using Two-Way Frequency Tables

  14. You Try! Create a two-way frequency table given the following information: Sarah is worried about how much rubbish she creates each week. She decides to look at how many items she could recycle over three weeks which she ends up throwing in to the normal rubbish bin. Design Sarah a table to show for the number of cans, glass bottles and newspapers she throws away over the next three weeks. Sarah throws away 5 cans in the 1stweek, 3 in the second and 4 in the last week. She throws away 6 glass bottles every week 1 newspaper in the last week. In the 1st two weeks she throws away 2 and then 3 newspapers. 4.2.1: Summarizing Data Using Two-Way Frequency Tables

  15. Guided Practice Example 2a Abigail surveys students in different grades, and asks each student which pet they prefer. The responses are in the table below. What is the marginal frequency of each type of pet? 4.2.1: Summarizing Data Using Two-Way Frequency Tables

  16. Guided Practice: Example 2a, continued Sum the responses of people with each characteristic for the first pet type, “bird.” 3 people in grade 9 preferred birds, 7people in grade 10 preferred birds. 3 + 7 = 10 people who preferred birds 4.2.1: Summarizing Data Using Two-Way Frequency Tables

  17. Guided Practice: Example 2a, continued Sum the responses of people with each characteristic for the second pet type, “cat.” 49 people in grade 9 preferred cats, 36people in grade 10 preferred cats. 49 + 36 = 85 people who preferred cats 4.2.1: Summarizing Data Using Two-Way Frequency Tables

  18. Guided Practice: Example 2a, continued Sum the responses of people with each characteristic for the third pet type, “dog.” 53 people in grade 9 preferred dogs, 64people in grade 10 preferred dogs. 53 + 64 = 117 people who preferred dogs 4.2.1: Summarizing Data Using Two-Way Frequency Tables

  19. Guided Practice: Example 2a, continued Sum the responses of people with each characteristic for the fourth pet type, “fish.” 22 people in grade 9 preferred fish, 10people in grade 10 preferred fish. 22 + 10 = 32 people who preferred fish 4.2.1: Summarizing Data Using Two-Way Frequency Tables

  20. Guided Practice: Example 2, continued Organize the marginal frequencies in a two-way frequency table. Create a row and include the marginal frequencies of each response under the name of each response. ✔ 32 85 10 117 4.2.1: Summarizing Data Using Two-Way Frequency Tables

  21. You Try! Ms. Scanlon surveys her students about the time they spend studying. She creates a table showing the amount of time students studied and the score each students earned on a recent test. Find the marginal frequency for each test score interval. 4.2.1: Summarizing Data Using Two-Way Frequency Tables

  22. You Try! Ms. Scanlon surveys her students about the time they spend studying. She creates a table showing the amount of time students studied and the score each students earned on a recent test. Find the conditional relative frequency for each. [Hint: There are a total of 83 students] 4.2.1: Summarizing Data Using Two-Way Frequency Tables

  23. Guided Practice Example 3 Analyze the following two-way frequency table. How many females “eat breakfast regularly”? (This is a joint frequency) How many females were included in the survey? (This is a marginal frequency) 4.2.1: Summarizing Data Using Two-Way Frequency Tables

  24. Guided Practice Example 3 Analyze the following two-way frequency table. How many people were included in this survey? (This is a marginalfrequency) 4.2.1: Summarizing Data Using Two-Way Frequency Tables

  25. Guided Practice Example 3 Analyze the following two-way frequency table. How many males “do not eat breakfast regularly”? (this is a joint frequency) How many males and females do not eat breakfast regularly? (this is a marginal frequency) 4.2.1: Summarizing Data Using Two-Way Frequency Tables

  26. You Try! . Looking at the joint frequencies we see that women show a strong preference for which activity? Looking at the joint frequencies we see that men show a strong preference for which activity? • Looking at just the total columns (marginal frequencies) what can we conclude about the 3 activities? • Dance is way more interesting. • They have roughly equal appeal. • Sports is the least chosen activity. • TV is the preferred activity. 4.2.1: Summarizing Data Using Two-Way Frequency Tables

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