Listed below are the top 10 annual salaries (in millions of dollars) of TV perso

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? 41 39 37 30 20 19 18 17 16.7 15.99 The range of the sample data is S 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 S11 million. (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 standard deviation is an unbiased estimator ° C. 0 D. Yes, because the sample is random. No, because there is an outlier in the sample data.

Explanation / Answer

The range of the sample data is 41 - 15.9 = 25.1.

Mean = (41 + 39 + 37 + 30 + 20 + 19 + 18 + 17 + 16.7 + 15.9) / 10 = 25.36

The variance of the sample is 105.04.

Standard deviation = 105.0449 = 10.25.

Yes, because the standard deviation is an unbiased estimator.

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