Homework Packet Week #5 All problems with answers or work are examples.

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1 Lesson 8.1 Construct the graphical display for each given data set. Describe the distribution of the data. 1. Construct a box-and-whisker plot to display the number of miles from school that a number of randomly chosen students live. The data are 5, 10, 15, 12, 1, 14, 9, 15, 3, 10, 12, 15, 8, 14, 13, and 2. Analyze the given histogram which displays the ACT composite score of several randomly chosen students. Use the histogram to answer each question. ACT Composite Scores Analyze the given dot plot which displays the number of home runs by each of the girls on the softball team this season. Use the dot plot to answer each question. Softball Team Home Runs 4. How many more students had an ACT composite score between 15 and 20 than had a composite score between 30 and 35? Lesson 8.2 Create a dot plot of each given data set. Calculate the mean and median. Determine which measure of center best describes each data set. 5. The data are 13, 12, 12, 11, 17, 10, 11, 12, 14, 20, 15, 12, 18, 13, 12, 17, 14, and How many players scored more than 12 home runs? Analyze the given box-and-whisker plot which displays the heights of 40 randomly chosen adults. Use the boxand-whisker plot to answer each question. Heights of 40 Randomly Chosen Adults 6. Determine which measure of center best describes the data in each given data display. Then determine the mean and median, if possible. If it is not possible, explain why not. Results of Diving Expedition 3. Describe the distribution of the data in the box-andwhisker plot and explain what it means in terms of the problem situation.

2 Lesson 8.3 Calculate the IQR of each given data set. Determine whether there are any outliers in each set and list them. 7. The data are 60, 55, 70, 80, 20, 60, 105, 65, 75, 100, 55, 15, 115, 65, 70, 45, and 60. Calculate the mean and the standard deviation of each data set without the use of a calculator. SHOW YOUR WORK! 11. The data are 13, 14, 15, 15, 16, 16, 17, and Calculate the IQR of the data set represented in each box-and-whisker plot and determine whether there are any outliers in each data set. 12. The data are represented by a dot plot. Lesson 8.4 Calculate the mean and the standard deviation of each given data set using a graphing calculator. 9. The data are 3.5, 4, 5.5, 6, 6, 7, 7.5, 8, 9.5, and The data are represented by a dot plot.

3 Lesson 10.1 Vocabulary Match each definition to its corresponding term. a. Two-way frequency table b. categorical data c. frequency distribution d. joint frequency e. frequency marginal distribution 13. displays the total of the frequencies of the rows or columns of a frequency distribution 14. displays the frequencies for categorical data in a two-way table 15. non-numerical data that can be grouped into categories 16.displays categorical data by representing the number of occurrences that fall into each group for two variables 17. any frequency you record within the body of a two-way frequency table Organize each data set into a two-way frequency table. Then complete the frequency marginal distribution for the data set. 18. Color Color A Red B Blue A Blue A Blue B Red A Green B Purple A Red B Blue B Blue A Red B Blue B Green A Purple B Green B Green A Blue A Red B Purple B Purple 19. Sport to Watch on TV Two-way frequency table: Frequency marginal distribution: Sport to Watch on TV

4 20. Name Fruit Fruit Apple Banana Banana Apple Apple Orange Apple Apple Banana Banana Grapes Grapes Orange Banana Apple Apple Orange Orange Banana Grapes 21. Construct a bar graph to represent each data set shown in the frequency marginal distribution table. Two-way frequency table: 22. Frequency marginal distribution:

5 23. Name 25. Complete the relative frequency distribution and relative frequency marginal distribution for each frequency marginal distribution. 26. Lesson 10.2 Vocabulary 24. Write a brief explanation of the difference between a relative frequency distribution and a relative frequency marginal distribution.

6 27. Name Construct a stacked bar graph of each relative frequency distribution. 30.

7 Lesson 10.3 Vocabulary Define the term in your own words. 31. relative frequency conditional distribution Complete the relative frequency conditional distribution for each two-way table. The relative frequency conditional distribution shows the sports that female and male students choose to participate in. Use the relative frequency conditional distribution to answer each question What percent of female students participate in track & field? 36. What percent of male students participate in basketball? 37. Which sport is the most popular among female students?

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