Describe in a few concise sentences what this data set's standard deviation really represents in practical terms. 1 + 3 + 4 + 12 = 20 / 4 = 5 (Mean) The average is 5, and the standard deviation is 4.18 (which is very close to the average). The standard deviation would be the measurement of how far the data values are spread around the mean (in this case 5). The 4.18 shows how much the data really deviates from the mean. Questions 6C: 1.Suppose at a college, GPA's are normally distributed with a mean of 2.9 and a standard deviationof 0.5. Approximately what percentage of students at the college, have a GPA between 1.9 and 3.9? 2. According to data from the National Health Survey, the heights of adult men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. The U.S. Marine Corps requires that men have heights between 64 inches and 78 inches. About what percentage of American men are not eligible for the Marines based on height? (64-69)/2.8 = 1.79 is 3.59% (78-69)/2.8 = 3.21 is 99.9% (Take from 100% for difference) .1 + 3.59 = 3.69%
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