2.3 EXERCISES 74 CHAPTER 2 Descriptive Statistics For Extra Help: MyLab Statistics Building Basic Skills and Vocabulary True or False? In Exercises 1–4, determine whether the statement is true or false. If it is false, rewrite it as a true statement. 1. The mean is the measure of central tendency most likely to be affected by an outlier. 2. Some quantitative data sets do not have medians. 3. A data set can have the same mean, median, and mode. 4. When each data class has the same frequency, the distribution is symmetric. Constructing Data Sets In Exercises 5–8, construct the described data set. The entries in the data set cannot all be the same. 5. Median and mode are the same. 6. Mean and median are the same and the data is bimodal. 7. Mean is not representative of a typical number in the data set. 8. Mean, median, and mode are the same. Graphical Analysis In Exercises 9–12, determine whether the approximate shape of the distribution in the histogram is symmetric, uniform, skewed left, skewed right, or none of these. Justify your answer. 9. 2 22 20 18 16 14 12 10 8 6 4 45,000 25,000 65,000 85,000 10. 6 3 9 12 15 85 95 105 115 125 135 145 155 11. 6 12 3 9 15 18 123456789101112 12. 4 8 12 16 62.5 52.5 72.5 82.5 Matching In Exercises 13–16, match the distribution with one of the graphs in Exercises 9–12. Justify your decision. 13. The frequency distribution of 180 rolls of a dodecagon (a 12-sided die) 14. The frequency distribution of mileages of service vehicles at a business where a few vehicles have much higher mileages than the majority of vehicles 15. The frequency distribution of scores on a 90-point test where a few students scored much lower than the majority of students 16. The frequency distribution of weights for a sample of seventh-grade boys
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