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 38 30 22 19 17 15 14.9 13.8

The range of the sample data is $ million. ​(Type an integer or a​ decimal.)

The standard deviation of the sample data is ​$ 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 there is an outlier in the sample data.

B.No, because the sample is not representative of the whole population.

C.​Yes, because the sample is random.

D.​Yes, because the standard deviation is an unbiased estimator.

Answer 1

The statistical software output for this problem is:

From above output:

a) Range = 27.2

b) Standard deviation = 10.97

c) No, because the sample is not representative of the whole population. Option B is correct.