1. Explain. What can be the effect on conclusions drawn from a data data set that contains outliers? 2. True or false? The median can be found if a data set contains only nominal level data. 3. State whether the shape of the distribution represented by the histogram in Figure 1 is symmetric, uniform, skewed left, skewed right, or none of these. Figure 1. Histogram: What is the shape? histogram 12.00 10.00 8.00 - 5.00 4.03 2.00 0.00 49 4. Which graph shown in figure 2 best represents the frequency distribution of the results of tossing a pair of fair dice? (Pick one letter from the following.) Figure 2. Histograms: Which graph best represents the distribution? lSeries1 i ISeriesl 25000 35000 45000 55000 65000 75000 35000 95000 85 95 105 115 125 135 145 155 15 16 16 14 14 12 12 10 10 ISeriesl lS-eriesl creams: 1 2 3 4 5 6 7 8 9 10 11 12 52.5 57.5 52.5 67.5 72.5 77.5 82.5 87.5 9. What is the range? 10. What is the mean? 11 . What is the variance? 12. What is the standard deviation? Problems 13-15. Use Tables 5a and 5a to answer the questions. Table 5a. Data set A Data Set A: 1 2 3 4 5 95 96 97 98 99 Table 5b. Data set B Data Set B: 1 46 47 48 49 51 52 53 54 99 13. Select the letter of the appropriate data set. Without calculating the standard deviation, which data set has the least standard deviation? 14. Select the letter of the appropriate data set. Without calculating the standard deviation, which data set has the greatest standard deviation? 15. Explain the reason for your decisions in questions 13 and 14. 16. Fish lengths. You study the lengths of sh in two lakes. Lake A has sh lengths with ,u = 18 inches and a = 2.6 inches and Lake B has fish with lengths, such that ,u = 18 inches and a = 1.5 inches. Which lake is more likely to have sh greater than 22 inches in length? 17. Cost of widgets follows a bell curve. The mean cost of a widget is $387, with a standard deviation of $19. Between what two values do about 68% of the widgets cost? Coefficient of variation. The coefcient of variation (CV) is an alternate way to measure variation. The CV expresses the standard deviation as a percent of the mean. Because it has no unit of measure, you can use the coefficient of variation to compare the variability of data with different units of measure. Note: Either the sample standard deviation, 3, or the population standard deviation, 0. may be used for calculating the CV. Use the appropriate value of the standard deviation depending on whether the data pertain to a population or a sample. CV = standard dev1at10n x 100% Mean 18. Find the coefficient of variation for the data set given in Table 4 (Round your answer to 3 decimal places). Section 2.5 19. True or False? If a data set has Q1 = 321, Q2 = 389 and Q3 = 457, then a data value of 650 would be considered an outlier. 20. True or False? 75% of the data in a data set with quantitative data lie between Q1 and the maximum datum value. Problems 22-25. Use the data in Table 4 to answer the questions. 21. What is Q1? 22. What is Q2? 23. What is Q3? 24. Draw a box-and-whisker plot that represents the data set in Table 4. (Note: When drawing the box-and-whisker plot, please label the 5-number summon-\"WE use an appropriate scale and use 5. Using Table 1, Find the mean, median, and mode of the data, if possible. If any of these measures cannot be found, explain why. Table 1. Cholesterol levels of female employees. Cholesterol levels 201 251 237 212 260 244 218 215 251 256 6. Using Table 2, Find the mean, median, and mode of the data, if possible. If any of these measures cannot be found, explain why. Table 2. Number of aircraft that 15 airlines have in their fleets Number of aircraft 99 114 240 302 226 157 108 305 132 176 115 141 274 170 219 7. Using Table 3, Find the mean, median, and mode of the data, if possible. If any of these measures cannot be found, explain why. Table 3. Instructor responses. Why students were not successful Frequency Incomplete assignments: 27 Poor exam performance: 22 Study time: 37 Schedule conict with work: 23 Overloaded schedules: 12 Cost of texts: 24 Other: 5 8. Find the weighted mean of the data For the month of July, a checking account has a balance of $589.42 for 6 days, $839.62 for 12 days, $763.35 for 10 days, and $284.37 for 3 days. What is the account's mean daily balance for July? (Do not round until the last step; Round results to the nearest penny). Section 2.4 Problems 9-12. Use the data set representing a sample in Table 4 to answer the questions (Note: Review the 1-Var Stats function on the Tl83/84 calculator). Table 4. Sample data. Sample Data 173 144 140 140 178 179 189 160 146 165 195 179 170 175 192 177 184 170 158 152