Homework Quiz #11A Lesson 8.2 – Relative Frequency The Plan For Today • Lesson 8.1 – Due Today • HWQ #11A: 7.1, 7.2, 7.3 • Lesson 8.2 • Calculate relative frequencies • Find possible associations from frequency tables • 8.2 Homework 7.1 State A, B, and C in this Standard Form equation. Given the two functions for cost in terms of hours, for how many hours will the cost be the same? 7.2 f ( x) = 500 x + 5000 g ( x) = 700 x + 4000 2 x + 7 y = −14 Show work 7.3 a. Write the equation of the boundary line for the inequality. 7.3 Graph the inequality on the coordinate plane. b. Is the line solid or dashed? Quiz: Mod.8 & 10 – Mon. 12/7 HWQ #12 – Tues. 12/8 Lesson 8.2 – Relative Frequency To show what portion of a data set each category in a frequency table makes up, you can convert the data to relative frequencies. The relative frequency of a category is the frequency of the category divided by the total of all frequencies. g ( x) < h ( x ) ≤ −2 x − 4 1 x+2 3 5 points each Lesson 8.2 – Relative Frequency Two types of relative frequencies that are useful for characterizing the data in a two-way frequency table can be used to make up a relative frequency table: A marginal relative frequency is found by dividing a row total or a column total by the grand total. It tells what portion of the total has a specified characteristic. A joint relative frequency is found by dividing a frequency that is not in the Total row or the Total column by the grand total. It tells what portion of the total has both of the two specified characteristics. Lesson 8.2 – Relative Frequency Use the two-way table of data from a student survey to answer the following question. What is the marginal relative frequency of students surveyed who like weight lifting? Write the marginal relative frequency as a percent, if necessary, round to the nearest tenth. Lesson 8.2 – Relative Frequency A conditional relative frequency describes what portion (the “relative frequency”) of a group with a given characteristic (the “condition or conditional statement”) also has another characteristic of the other type. A conditional relative frequency is found by dividing a joint frequency (the value in a non-total cell of a joint relative table) by the total for its row or column (whichever row or column is the condition). 1 Lesson 8.2 – Relative Frequency The results of a survey of 46 students and the foreign language they are studying are shown in the two-way relative frequency table. Homework 1. Go to my.hrw.com 2. Example & Step-by-Step 3. Try Another 4. Ask questions…Write up similar example first! 5. You can do it!! What fraction of the surveyed students are boys taking Spanish? What did you like? What didn’t you like? What did you learn? What isn’t quite clear? ______ is awesome! Please stop _________. Anything else… 2
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