1. VOCABULARYHow are measures of center different from measures of variation?2. VOCABULARYHow many quartiles does a data set have?3. DIFFERENT WORDS, SAME QUESTIONWhich is different? Find “both” answers.53, 47, 60, 45, 62, 59, 65, 50, 56, 48What is the interquartile range of the data?What is the range of the data?What is the range of the middle half of the data?What is the difference between the third quartile and the first quartile?Exercises9.4

13 1—221 1—22116 3—410 1—4193226 1—22916 1—428 1—218 1—2

Use grid paper to find the median of the data. Then find the median of the lower half and the median of the upper half of the data. Describe the spread of the data.4. 5, 8, 10, 1, 7, 6, 15, 8, 6 5. 82, 62, 95, 81, 89, 51, 72, 56, 97, 98, 79, 85Find the range of the data.

10. ERROR ANALYSISDescribe and correct the error in finding the range of the data.Find the median, first quartile, third quartile, and interquartile range of the data.

15. PAPER AIRPLANEThe table shows the distances traveled by a paper airplane. Find and interpret the range and the interquartile range of the distances.163—4261—2181—2Help with Homework

Find the mean of the data. (Section 9.2)23. 8, 14, 22, 7, 2, 11, 25, 7, 5, 9 24. 55, 64, 58, 43, 49, 6725. MULTIPLE CHOICEWhat is the surface area 2 mof the rectangular prism? 16. WRITINGConsider a data set that has no mode. Which measure of variation is greater, the range or the interquartile range? Explain your reasoning.17. OUTLIERSUse the interquartile range to identify any outliers in Exercises 11–14.18. REASONINGHow does an outlier affect the range of a data set? Explain.19. BASKETBALLThe table shows the numbers of points scored by players on a basketball team.Points Scored215374828493103108116122193a. Find the range and the interquartile range of the data.b.Use the interquartile range to identify the outlier(s) in the data set. Find the range and the interquartile range of the data set without the outlier(s). Which measure did the outlier(s) affect more?20. STRUCTURETwo data sets have the same range. Can you assume that the interquartile ranges of the two data sets are about the same? Give an example to justify your answer.21. SINGINGThe tables show the ages of the finalists for two reality singing competitions.a. Find the mean, median, range, and interquartile range of the ages for each show. Compare the results.b.A 21-year-old is voted off Show A, and the 36-year-old is voted off Show B. How do these changes affect the measures in part (a)? Explain.22. Create a set of data with 7 values that has a mean of 30, a median of 26, a range of 50, and an interquartile range of 36.3Ages for Show A18171521221618282421Ages for Show B212023131518172236259 m4 m(Section 8.2)A62 m2B72 m2C88 m2D124 m2Section 9.4Measures of Variation 417

418Chapter 9Statistical Measures