Lesson 15.1 Skills Practice

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1 Lesson 15.1 Skills Practice Name Date Why Do We Use Statistics? Designing Statistical Questions Vocabulary Match each definition to its corresponding term. 1. A method for collecting information by asking statistical questions. a. data 2. An entire set of items from which data can be selected. b. statistical question 3. A characteristic of a population. c. population 4. The facts or numbers that describe the results of an experiment d. sample or survey. 5. A question about a population or a sample. e. data analysis 6. A test performed to answer a question. f. parameter 7. Collecting, organizing, and analyzing data to answer statistical g. statistic questions. 8. The characteristic of a sample. h. survey 9. A selection from a population. i. experiment Chapter 15 Skills Practice 809

2 Lesson 15.1 Skills Practice page 2 Problem Set Determine whether each given question is a statistical question. If not, rewrite it to make it a statistical question. 1. How many people in your class like to play video games? This is a statistical question. 2. Is pizza your favorite food? 3. Do you usually go to bed before 10:00 pm on school nights? 4. How many of the students in your school were born in their current state of residence? 5. How much did you weigh when you were born? 6. Who is the fastest runner in your class? Write two statistical questions that could be answered about each given topic by conducting a survey or experiment. 7. vacation destinations Answers may vary. How many students in your class went to the beach last year as a vacation destination? How many students in your class have ever traveled to another country on vacation? 8. sports 810 Chapter 15 Skills Practice

3 Lesson 15.1 Skills Practice page 3 Name Date 9. music 10. books 11. U. S. Presidents 12. pets Determine whether a survey or an experiment would be the best way to answer each given statistical question. 13. How many of the students in your class ate breakfast this morning? A survey would be the best way to answer the statistical question. 14. Which student in your school can run a 40-meter sprint the fastest? 15. How many students in your class can type at least 30 words per minute? 16. How many students in your class ride the bus to school each day? Chapter 15 Skills Practice 811

4 Lesson 15.1 Skills Practice page How many students in your class can hop on one leg while patting the top of their head with one hand and rubbing their belly with the other hand? 18. How many of the teachers in your school enjoy fishing as a hobby? Determine whether each set of survey results are a parameter or a statistic. 19. According to an online poll, 35% of all U.S. citizens live in an apartment. The results represent a statistic. 20. According to Ms. Carey s survey of the students in her class, 50% of her students have at least one dog. 21. A local newspaper conducted a survey last week. Of the 2300 subscribers, 1276 responded. Based on the survey, the editor concludes that 95% of the newspaper s subscribers will renew their subscription next year. 22. According to a random telephone survey of 1000 residents of Jackson County, 43% of the residents of Jackson County eat out at a restaurant more than once per week. 23. Mr. Rembrandt gives a survey to each of the students in the Art Club. He concludes that 90% of the Art Club members would like to visit the High Museum of Art in Atlanta. 24. Each senior at Jackson County High School completes a survey. The principal concludes that 68% of the students in the senior class have an after-school job. 812 Chapter 15 Skills Practice

5 Lesson 15.2 Skills Practice Name Date Dealing with Data Collecting, Displaying, and Analyzing Data Vocabulary Write the term that best completes each statement. 1. A(n) is a way of displaying categorical data by using either horizontal or vertical bars so that the height or length of the bars indicates the value for that category. 2. can only have values that are counting numbers. 3. A(n) is the number of times an item or number occurs in a data set. 4. Data for which each piece of data fits into exactly one of several different groups or categories are called. 5. A(n) is a graph that shows how parts of the whole relate to the whole, and how parts relate to other parts. 6. In a graph, the explains how each data set is represented by a color or a pattern. 7. A(n) is used to display categorical data when each category contains two different data sets. The two bars which represent each category are side by side, and space is used to separate the categories. 8. are data which can be placed on a numerical scale. 9. A(n) is a graph in which the frequencies of two different groups for a given category are stacked on top of one another in order to compare the parts to the whole. 10. can have values that are between two counting numbers. Chapter 15 Skills Practice 813

6 Lesson 15.2 Skills Practice page 2 Problem Set Determine whether each set of given data are categorical or quantitative. If the data are quantitative, determine whether they are discrete or continuous. 1. Each student in your math class lists their favorite color. The data are categorical. 2. Each student in your math class records their height to nearest quarter inch. 3. The points scored by Yuri during each academic team match of the season. 4. The members of the Horse Club list the types of horses they have. 5. The members of the Horse Club list the number of horses they have. 6. Each student in your class lists their favorite sport. 7. Each student in your class lists their favorite type of music. 8. Each student in your class lists the number of CDs they own. 9. Wallace lists the different types of animals that he observes on his nature walk. 814 Chapter 15 Skills Practice

7 Lesson 15.2 Skills Practice page 3 Name Date 10. Each student in your class lists the distance they travel to school each day to the nearest tenth of a mile. Analyze the given graph to solve each problem. 11. On a recent trip to a beach in southern Florida, five friends competed to see who could find the most sharks teeth. Their results are displayed in the bar graph. y Geraldine Sam Name Caleb Sarah Keith Number of Sharks Teeth Found x a. Who found the most sharks teeth? How many teeth did that person find? Sam found the most teeth. He found 15 teeth. b. How many total sharks teeth did the five friends find? They found a total of 53 teeth. Chapter 15 Skills Practice 815

8 Lesson 15.2 Skills Practice page The double bar graph shows the scores of the five starters on the girls basketball team for their Tuesday and Friday games. y Points Scored Tuesday and Friday Tuesday Friday Points Scored Katelyn Jin Nora Brooke Kiana Player Name x a. Which player scored fewer points during Friday s game than they did during Tuesday s game? b. Which player scored the most total points during the two games? How many points did that player score? c. Determine the average number of points scored by the five starters during Friday s game. 816 Chapter 15 Skills Practice

9 Lesson 15.2 Skills Practice page 5 Name Date 13. Four students participated in a Walk-a-Thon to raise money for a charity. The distances they each walked on Saturday and Sunday are displayed in the stacked bar graph. y Miles Walked at the Walk-a-Thon Sunday Saturday Miles Walked Charlie Lisa Isaiah Tabitha Name x a. Who walked the most miles on Saturday? How many miles did that person walk on Saturday? b. Who walked the most total miles during the Walk-a-Thon? How many total miles did that person walk? Chapter 15 Skills Practice 817

10 Lesson 15.2 Skills Practice page The circle graph shows the results of the vote for the new school mascot. Mascot Vote Tigers 35% Bears 30% Mustangs 15% Cheetahs 20% a. If 400 students voted, how many students voted for the Cheetahs? b. If the students who voted for the Mustangs would have voted for the Bears, would the outcome of the election have been any different? Create the specified graph for each given data set. 15. Create a single bar graph to display the scores of five students on a recent math quiz. Clayton scored 18, Reginald scored 14, Ernestine scored 16, Maria scored 20, and Shawna scored 15. Shawna Name Maria Ernestine Reginald Clayton Math Quiz Scores Chapter 15 Skills Practice

11 Lesson 15.2 Skills Practice page 7 Name Date 16. Create a single bar graph to display the number of pets owned by each of the following students. Aretha has 4 pets, Edward has 7 pets, Franco has 3 pets, and Patty has 5 pets. Chapter 15 Skills Practice 819

12 Lesson 15.2 Skills Practice page Create a double bar graph that displays the number of hours spent watching television during the weekdays and during the weekend for five students last week. Name Number of Hours Watching TV During the Weekdays Number of Hours Watching TV During the Weekend Sonya 12 6 Terrence 14 4 Will 6 0 Christine 8 3 Larry Chapter 15 Skills Practice

13 Lesson 15.2 Skills Practice page 9 Name Date 18. Create a stacked bar graph that displays the number of hours spent watching television during the weekdays and during the weekend for five students last week. Name Number of Hours Watching TV During the Weekdays Number of Hours Watching TV During the Weekend Sonya 12 6 Terrence 14 4 Will 6 0 Christine 8 3 Larry 10 5 Chapter 15 Skills Practice 821

14 Lesson 15.2 Skills Practice page Create a double bar graph to display the results of the prom theme vote. Prom Theme Number of Junior Votes Number of Senior Votes Outer Space Romance Texas Rodeo Enchanted Ball A Night in the 60s Chapter 15 Skills Practice

15 Lesson 15.2 Skills Practice page 11 Name Date 20. Create a stacked bar graph to display the results of the prom theme vote. Prom Theme Number of Junior Votes Number of Senior Votes Outer Space Romance Texas Rodeo Enchanted Ball A Night in the 60s Chapter 15 Skills Practice 823

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17 Lesson 15.3 Skills Practice Name Date At The Olympics Line Plots and Stem-and-Leaf Plots Vocabulary Write a definition for each of the following terms in your own words. 1. dot plot 2. distribution 3. symmetric 4. skewed right 5. skewed left 6. clusters Chapter 15 Skills Practice 825

18 Lesson 15.3 Skills Practice page 2 7. gaps 8. stem-and-leaf plot 9. side-by-side stem-and-leaf plot Problem Set Identify the data distribution in the given plot as symmetric, skewed right, or skewed left. Identify any clusters or gaps The distribution is skewed right. There are clusters from 0 to 3 and from 5 to 6. There is a gap between 3 and Chapter 15 Skills Practice

19 Lesson 15.3 Skills Practice page 3 Name Date Stem Leaves Key: Chapter 15 Skills Practice 827

20 Lesson 15.3 Skills Practice page 4 6. Stem Leaves Key: Data Set One Stem Data Set Two Key: and Chapter 15 Skills Practice

21 Lesson 15.3 Skills Practice page 5 Name Date 8. Data Set One Stem Data Set Two Key: Create a line plot, stem-and-leaf plot, or side-by-side stem-and-leaf plot displaying each given data set. 9. 1, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 8, and , 0, 0, 0, 1, 1, 1, 2, 2, 3, 4, and Chapter 15 Skills Practice 829

22 Lesson 15.3 Skills Practice page , 7, 8, 9, 9, 10, 11, 13, 14, 18, 21, 26, 32, 39, and , 41, 65, 57, 54, 28, 33, 40, 51, 41, 62, 42, and , 1.3, 1.6, 1.9, 1.9, 2.0, 2.2, 2.3, 2.6, 2.7, 3.1, 3.2, 3.6, 3.6, 4.1, 4.2, 4.6, 5.0, 5.2, 5.3, 5.8, and Chapter 15 Skills Practice

23 Lesson 15.3 Skills Practice page 7 Name Date 14. Data Set One: 2, 4, 4, 5, 5, 6, 8, 10, 11, 12, 14, 18, and 21 Data Set Two: 25, 29, 30, 33, 37, 41, 43, 43, 47, and Data Set One: 35, 35, 40, 45, 50, 55, 60, 60, 65, 65, 65, 70, and 75 Data Set Two: 30, 35, 40, 45, 45, 45, 50, 50, 55, 55, 60, 65, and 70 Chapter 15 Skills Practice 831

24 Lesson 15.3 Skills Practice page Data Set One: 4.6, 4.8, 5.1, 5.3, 5.9, 6.0, 6.1, 6.1, 6.5, 6.6, 6.8, 6.9, 7.2, 7.3, 7.7, 8.3, 8.5, 9.1, and 9.2 Data Set Two: 5.9, 6.2, 6.7, 7.0, 7.0, 7.3, 7.6, 7.6, 7.8, 7.9, 8.0, 8.1, 8.1, and Chapter 15 Skills Practice

25 Lesson 15.4 Skills Practice Name Date Building Up Using Histograms Vocabulary Write a definition for each of the following terms in your own words. 1. histogram 2. frequency table Chapter 15 Skills Practice 833

26 Lesson 15.4 Skills Practice page 2 Problem Set Analyze the given histogram to solve each problem. 1. The histogram displays the number of homes sold by Really Real Realty in Homes Sold by Really Real Realty in Jan Mar Apr Jun Jul Sep Month Oct Dec Number of Homes Sold a. During which 3-month interval did Really Real Realty sell the most homes, and how many homes did they sell during that interval? They sold the most homes during the April June interval. They sold 15 homes during that interval. b. How many homes did Really Real Realty sell in 2009? They sold , or 49, homes in Chapter 15 Skills Practice

27 Lesson 15.4 Skills Practice page 3 Name Date 2. The histogram displays the number of years of service for a sample of U.S. Navy veterans. U.S. Navy Veterans Years of Service Number of Veterans Years of Service a. How many veterans in the sample had more than 15 years of service? b. How many veterans are represented by the histogram? Chapter 15 Skills Practice 835

28 Lesson 15.4 Skills Practice page 4 3. The histogram displays the ages of U.S. Senators. Ages of U.S. Senators Number of Senators Age a. How many U.S. Senators are in their sixties? b. How many U.S. Senators are younger than 60? 836 Chapter 15 Skills Practice

29 Lesson 15.4 Skills Practice page 5 Name Date 4. The histogram displays the number of graduates from various high schools in Georgia for the year Number of GA Graduates per High School in 2008 Number of High Schools Number of Graduates a. How many high schools represented in the histogram had 300 or more graduates in 2008? b. How many high schools are represented in the histogram? Chapter 15 Skills Practice 837

30 Lesson 15.4 Skills Practice page 6 Create a frequency table or a histogram for each given data set. 5. These data represent the number of employees at various restaurants in New York City: 22, 35, 15, 26, 40, 28, 18, 20, 25, 34, 39, 42, 24, 22, 19, 27, 22, 34, 40, 20, 38, and 28. Use as the first interval. Number of Employees at New York City Restaurants Number of Employees Frequency (f) These data represent the number of roller coasters at several major theme parks: 12, 15, 10, 13, 9, 17, 15, 7, 9, 10, 16, 12, 13, 8, 14, 9, 7, 13, and 15. Use 7 9 as the first interval. 838 Chapter 15 Skills Practice

31 Lesson 15.4 Skills Practice page 7 Name Date 7. Create a histogram based on the data in the frequency table. Number of Books Read by Members of the Novel Idea Book Club Number of Books Read Frequency (f) Chapter 15 Skills Practice 839

32 Lesson 15.4 Skills Practice page 8 8. Create a histogram based on the data in the frequency table. Test Scores for Mr. Watson s Math Test Test Score Frequency (f) Chapter 15 Skills Practice

33 Lesson 15.4 Skills Practice page 9 Name Date 9. Create a histogram for these data which represent the number of strep throat cases reported by each doctor s office in Jackson County last November: 3, 32, 27, 32, 32, 35, 46, 47, 15, 26, 22, 33, 19, 32, 7, 38, 40, 35, 35, 7, 47, 2, 6, 16, 19, 5, 28, 35, 20, 39, 3, 24, 14, 37, and 31. Use 0 9 as the first interval. 10. Create a histogram for these data which represent the greatest number of points scored in a single game last season by the top 25 mens college basketball teams: 85, 101, 74, 99, 85, 99, 82, 75, 77, 89, 84, 86, 105, 82, 76, 75, 99, 101, 95, 93, 82, 102, 86, 74, and 88. Use as the first interval. Chapter 15 Skills Practice 841

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35 Lesson 15.5 Skills Practice Name Date Analyze This! Designing and Implementing an Experiment Problem Set 1. Mr. Bowman conducts an experiment with the students in his 6th grade physical education class to test his hypothesis that practice can improve a person s ability to make basketball free throws. Each student attempts 10 free throws and Mr. Bowman records the number of baskets each student makes. After one week of practice, each student attempts 10 free throws and Mr. Bowman records the results again. The results of the experiment are displayed in the table. Results of Mr. Bowman s Free Throw Experiment Number of Free Throws Made Out of 10 Attempts Before the Week of Practice Number of Free Throws Made Out of 10 Attempts After the Week of Practice 2, 0, 1, 4, 1, 0, 0, 3, 0, 5, 7, 0, 1, 3, 2, 4, 0, 8, 1, 2 4, 2, 5, 1, 6, 0, 4, 5, 8, 1, 3, 9, 3, 4, 2, 4, 5, 4, 6, 3 Chapter 15 Skills Practice 843

36 Lesson 15.5 Skills Practice page 2 a. Create a line plot for the results before the week of practice and a line plot for the results after the week of practice Number of Free Throws Made Before One Week of Practice Number of Free Throws Made After One Week of Practice b. Describe the distribution of the data in each line plot and describe any clusters or gaps that exist. The distribution of the data in the first line plot is skewed right. There is a cluster of data from 0 to 5 and a gap between 5 and 7. The distribution of the data in the second line plot is symmetric. There is a cluster of data from 0 to 6 and a gap between 6 and 8. c. What conclusions can you make about the experiment based on the data in your line plots? Mr. Bowman s hypothesis is correct. The data before the week of practice is skewed right with most of the scores on the lower end of the plot. The data after the week of practice is symmetric and centered around 4 free throws made. 844 Chapter 15 Skills Practice

37 Lesson 15.5 Skills Practice page 3 Name Date 2. Ms. Yoon performs an experiment to determine whether her math students perform better on tests when they are allowed to use a calculator. She gives 5 students a 20-point quiz and doesn t allow them to use a calculator. After they finish, she gives the same quiz to the 5 students and allows them to use a calculator. The results are displayed in the table. Ms. Yoon s Math Quiz Scores Student Name Quiz Score without Calculator Quiz Score with Calculator Rashad Ben Jenna Omar Kay a. Create a double bar graph to display each student s quiz scores. b. What conclusions can you make about whether the use of a calculator helped the students on their math quizzes? Chapter 15 Skills Practice 845

38 Lesson 15.5 Skills Practice page 4 3. Shady Farms Tree Nursery conducts an experiment to determine which brand of fertilizer is the best for their maple trees. They use a different brand of fertilizer on each of 5 different maple tree saplings for a 2-year period. The amount of yearly growth is recorded in the table. Shady Farms Maple Tree Growth Fertilizer Used Height Growth in Year 1 (inches) Height Growth in Year 2 (inches) Tree Top Johnson s Big Tree Sky High Quick Grow a. Create a stacked bar graph to display the results of the fertilizer experiment. b. What conclusions can you make about which fertilizer is the best based on the stacked bar graph? 846 Chapter 15 Skills Practice

39 Lesson 15.5 Skills Practice page 5 Name Date 4. Ms. Smothers, the typing teacher, conducts an experiment to determine which computerbased typing program produces the best results for her students. For one month, one of her classes uses the Speedy Type program and a different class uses the Super Typer program. Then, Ms. Smothers records the number of words per minute typed by each student in her classes. The data are displayed in the table. Typing Results for Ms. Smother s Students Speedy Type (words per minute) 34, 38, 42, 29, 51, 43, 60, 42, 35, 48, 45, 54, 46, 26, 35, 44, 50, 40, 62, 55 Super Typer (words per minute) 32, 39, 41, 50, 25, 44, 38, 29, 40, 52, 34, 37, 37, 42, 27, 45, 46, 59, 35, 26 a. Create a side-by-side stem-and-leaf plot for the data. b. Describe the distribution of the data in each data set. c. Which typing program produced the best results according to the experimental data? Chapter 15 Skills Practice 847

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Student s Edition. Grade 6 Unit 6. Statistics. Eureka Math. Eureka Math

Student s Edition. Grade 6 Unit 6. Statistics. Eureka Math. Eureka Math Student s Edition Grade 6 Unit 6 Statistics Eureka Math Eureka Math Lesson 1 Lesson 1: Posing Statistical Questions Statistics is about using data to answer questions. In this module, the following four