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Study Guide - Chapter 10 - Section 1 543 1. What is an example of a statistical question versus one that is not. 2. What is meant by the variability of data? 3. Name and describe the four types of variability. 4. What is a population versus a sample? 5. When are generalizations about a population valid? 6. What is meant by "data from a random sample." 544 7. Why would the manufacturers in the story about Billy counting peanuts not be in trouble if more than half the nuts were peanuts, unlike the advertised statements? 8. What is the four-step framework for solving statisical problems? 9. When formulating questions, what must be considered? (read also on page 546) 545 10. Read the schoolbook page to make sure you understand the three bold-faced words and the difference between a random sample and one that is not a random sample. 546 11. What is the difference between a biased and a fair sample? 12. Do the "Now Try This" 10-1 13. Read example 10-1 and the paragraph following. Why may it not be a good idea to give a list of movies that your surveyed people could choose from? 14. Start reading about collecting data and answer the questions about it from pg. 548. 547 15. Study the school book page and be able to answer the questions about biased and unbiased. 548 16. What are various ways to collect data? 17. In what ways can data be analyzed? 549 18. What does it mean to "interpret the results?" Suggested exercises to do: Assessment 10-1 A: # 4-6, 8, 10, 11, Asssessment 10-1B #1, 4-5 Mathematical Connections 10-1 #7. Chapter 10- Section 2 550 1. What is a graph? 551 2. Why is the boss so mad in the "Herman" cartoon? 3. What do the Department of Labor bar graphs tell us about education? 552 4. What is the difference between categorical and numerical data? 5. What is a pictograph? 6. What is a frequency table? (You may go online to the online textbook and view classroom videos that deal with teaching this to children. Two are on this page.) 553 7. What is a category in regard to graphs? What is a legend? 8. What is a dot plot or line plot? 554 9. In the dot plot on the top of this page, what are the values of the outliers? In what 5-point interval is there a "cluster"? Where are the gaps? What value is the mode? 10. What does the "squiggle" in Figure 10-4 mean? 11. What is a stem-and-leaf plot? 555 12. In the "scores for Abel's class", what does 7|0 mean? 13. Do the "Now Try This 10-2" using the seven steps above it. 556 14. Study the back-to-back stem-and-leaf plots at the top of page and answer the "Now Try This 10-3" 15. Study example 10-2. You may watch the videos online that is in the multimedia textbook. 557 16. What is a grouped frequency table? 17. What is a histogram? 558 18. What advantage does the stem-and-leaf plot have over the histogram? 19. Do the "Now Try This 10-4" 20. What is a bar graph? You may go online to the multimedia text and do the E-manipulative activity on this page. 21. What is the distinguishing feature between histograms and bar graphs? 559 22. Study the student page and be able to answer all questions on it. 560 23. What kind of graph is in figure 10-10 at the top of this page? 24. Distinguish between percentage bar graphs and stacked bar graphs. 561 25. What are circle graphs or pie charts? 26. Go to the online text and view the multimedia presentations. 27. How many degrees are in the whole circle? What would be the measure of the central angle that would represent 40 percent of the circle? 28. Do example 10-3 562 29. Continue to study example 10-3 which is on this page. 563 30. Study the stacked bar graph at the top of this page. Suggested exercises: Assessment 10-2A #1,3,4,5, 7,8,11, 14-18 Section 10-3 570 1. What is a line graph? 2. What is meant by continuous data? 3. What are discrete data? 4. Do the "Now Try This 10-5" 571 5. Study the student page and be able to understand all that is on it. 572 6. What is a scatterplot? 573 7. What is a trend line? 8. Do the "Now Try This 10-6" 574 9. From the reading on this page, do you think there is such a thing as a "best" trend line? 575 10. Distinguish between positive association, negative association, and no association on graphs. 576 11. By looking at the graph on this page, tell what a multiple-line graph is. 12. Do "Now Try This 10-7" 577 13. Work the school book page on this page. 578 14. Know the different ways to display data. 15. Do the "Now Try This 10-8" 579 16. Do this Activity Lab Student page. Suggested exercises: Assessment 10-3A #1-4, 6,8, 11-13 Section 10-4 585 1. What are the two measures of central tendency? 586 2. How do we get the mean, or avera 6. What does it mean for a set of data to be bimodal? 589 7. Do both of the examples and both of the "Now Try This" on this page. 590 8. Do examples 10-6 and 10-7 ge, of a set of numbers? 587 3. After studying mean as a "balance point," do "Now Try This 10-9" 588 4. How do we find the median of a set of numbers? 5. How do we find the mode of a set of numbers? 591 9. What are the measures of spread? 592 10. Do the "Now Try This" on this page. 11. What numbers are in the 5-number summary of a set of data? 12. How does a box-and-whisker graph help to summarize the 5 number summary? 593 13. Do example 10-8. You may watch the online videos associated with this example. 14. What is an outlier? How is it determined? 15. Why is an asterisk sometimes used in a box-and-whisker plot? 594 16. Study the school book page and be able to do all problems on it. 595 17. Do example 10-9. You may want to watch the online videos on the online text associated with this example. 596 18. Look at the box-and-whisker displays on this page and see how easy they make comparisons. 597 19. Do the "Now Try This 10-14" 598 20. How does one find the Mean Absolute Deviation. ( Four steps) 599 21. What is the significance (or primary purpose) in figuring the MAD. 600 22. What is meant by variance? by Standard deviation? 23. What are the six steps to figuring out the standard deviation? 601 24. Do example 10-10 25. What is meant by a "normal curve"? 26. What is meant by a standard deviation of 1? 602 27. Do example 10-11 28. To truly "grade on the curve" what must a teacher do? 603 29. What percent of the students will get an A if teachers truly "grade on the curve"? 30. What is meant by being in the 90th percentile? 604 31. What are deciles? What does D3 mean? 32. Do examples 10-12 and 10-13 Suggested exercises: Assessment 10-4A: 1,3,7,9,10, 12-16, 19, 21, 26, 27