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? 4242 4040 3838 3131 2222 1919 1717 1616 15.915.9 15.015.0

Step-by-step explanation:

The data is written wrongly. The correct data is:

42, 40, 38, 31, 22, 19, 17, 16, 15.9, 15.0

Range = largest value - smallest value

Range = 42 - 15 = 27

n = 10

The mean of the set of data given is

Mean = (42 + 40 + 38 + 31 + 22 + 19 + 17 + 16 + 15.9 + 15.0)/10 = 25.59

Standard deviation = √(summation(x - mean)²/n

Variance = Summation(x - mean)²/n =

Summation(x - mean)² = (42 - 25.59)^2 + (40 - 25.59)^2 + (38 - 25.59)^2 + (31 - 25.59)^2 + (22 - 25.59)^2 + (19 - 25.59)^2 + (17 - 25.59)^2 + (16 - 25.59)^2 + (15.9 - 25.59)^2 + (15.0 - 25.59)^2 = 1088.329

Variance = 1088.329/10 = 108.8329

Standard deviation = √variance = √(108.8329 = 10.43

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