11). describes the degree to which all the data values (i.e., observations) spread out. A) A measure of dispersion B) A
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11). describes the degree to which all the data values (i.e., observations) spread out. A) A measure of dispersion B) A
13) The book cost in dollars) for one semester's books are given below for a sample of five college students. Calculate the sample standard deviation of the book costs. Hint: This problem uses the same data values as the previous problem 210, 110, 370, 495, 255 A) 19.62 B) 16.97 C) 148.69 D) 288.00 E) 132.99 14) The standard deviation is used in conjunction with the to numerically describe distributions that are bell shaped. The measures the center of the distribution, while the standard deviation measures the of the distribution A) mean; standard deviation; spread B) mean; mean; the typical observation C) standard deviation, mean; the typical observation D) mean; mean, spread 15) When comparing two populations, the larger the standard deviation, the more dispersion the distribution has provided that the variable of interest from the two populations has the same unit of measure. A) True B) False 16) According to the Empirical Rule, what percentage of the observations lies within 3 standard deviations of the mean? A) 68% B) 95% C) 97% D) 99.7% 17) Chehyshev's Inequality applies to all distributions regardless of shape, but the Empirical Rule holds only for distributions that are bell shaped. A) True B) False
18) According to Chebyshev's inequality, what is the minimum percentage of the observations that would fall within 2 standard deviations of the mean? A) approximately 25% B) at least 89% C) at most 11% D) approximately 99.7% E) at least 75% 19) Which histogram depicts a higher standard deviation? 9 10 8 6 NOV.M Frequency Frequency TTTTTTTTTT + 40 44 48 52 56 60 (a) 30 35 40 45 50 55 60 65 70 75 (b) A) Panel (a) B) Panel (b) 20) Match the histogram with the summary statistics. Potential Matches: 20 Frequency 10 0 1: 32425262 72 82 20 lency 92°F AQI 67 OBA - 1A
- + Page 20) Match the histogram with the summary statistics. Potential Matches: 20 Frequency 0 1: 324252627282 20 Frequency 10 0 2: 48 50 52 54 56 10 Frequency 5 3: 23 43 63 83 103 123 LO
15 1 10 Frequency Jh 5 0 4: 4252627282 Answer : Mean = 53; Median = 53; Standard Deviation = 1.8 : Mean = 60; Median = 60; Standard Deviation = 11 : Mean = 53; Median = 53; Standard Deviation = 10 Mean = 53; Median = 53; Standard Deviation = 22