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 ' DataSetB: 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 0' = 2.6 inches and Lake B has fish with lengths, such that p = 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, 5, 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? Ifa 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 summary values. If you are doing a hand sketch, use an appropriate scale and use graph paper.) 25. What is the IQR? Statistics (Math 141)