122 Chapter 3 Numerical Summaries of Data 45. Empirical Rule OK? The following histogram presents a data set with a mean of 4.5 and a standard deviation of 2. Is it appropriate to use the Empirical Rule to approximate the proportion of the data between 0.5 and 8.5? If so, find the approximation. If not, explain why not. 1 2 3 4 5 6 7 8 9 10 0.25 0.20 0.15 0.10 0.05 0 Relative Frequency 46. Empirical Rule OK? The following histogram presents a data set with a mean of 62 and a standard deviation of 17. Is it appropriate to use the Empirical Rule to approximate the proportion of the data between 45 and 79? If so, find the approximation. If not, explain why not. 20 30 40 50 60 70 80 90 20 15 10 5 0 Frequency 47. Empirical Rule OK? The following histogram presents a data set with a mean of 35 and a standard deviation of 9. Is it appropriate to use the Empirical Rule to approximate the proportion of the data between 26 and 44? If so, find the approximation. If not, explain why not. 10 15 20 25 30 35 40 45 50 55 60 120 100 80 60 40 20 0 Frequency 48. Empirical Rule OK? The following histogram presents a data set with a mean of 16 and a standard deviation of 2. Is it appropriate to use the Empirical Rule to approximate the proportion of the data between 12 and 20? If so, find the approximation. If not, explain why not. 10 11 12 13 14 15 16 17 18 19 20 21 22 0.25 0.20 0.15 0.10 0.05 0 Relative Frequency 49. What’s the temperature? The temperature in a certain location was recorded each day for two months. The mean temperature was 62.4◦F with a standard deviation of 3.1◦F. What can you determine about these data by using Chebyshev’s Inequality with K = 2?
navidi_monk_essential_statistics_1e_ch1_3
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