Question

Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities. Find the range, variance, and standard deviation for the sample data. Given that these are the top 10 salaries, do we know anything about the variation of salaries of TV personalities in general? 38 37 36 29 17 16 14 13 128 122 The range of the sample data is million (Type an integer or a decimal) The variance of the sample data is (Round to two decimal places as needed) The standard deviation of the sample data is smilion (Round to two decimal places as needed) Is the standard deviation of the sample a good estimate of the variation of salaries of TV personalities in general? A. No, because the sample is not representative of the whole population. B. Yes, because the sample is random C. Yes, because the standard deviation is an unbiased estimator D. No, because there is an outlier in the sample data

Answer 1

the salaries in ascending order is 12.2. 12.8, 13, 14, 16, 17, 29,36,37,38 Range = Max - Min Range = 25.8 = 38- 12.2 225 Elx) = En 22.5 var (x) I Ecolicit] NI X 10.18 9 Var (x) = 123.353333 of var(x) = 123.35 crounded to a decimal places) SO(x) = Juarix = 123,353333 SD (X) = 11.10 64 SDCX) = 11.11 (rounded to z decimal places) correct answer is toc yes because the standard deviation is an unbaised estimator.