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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 salaries of TV personalities in general?
39 37 35 27 19
16 13 9 8.6 7.8

Sagot :

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The range, variance and standard deviation of the is :

  • Range = 31.2
  • Variance = 152.978
  • Standard deviation = 12.368

Given the data :

39 37 35 27 19 16 13 9 8.6 7.8

Arranging in ascending order :

7.8, 8.6, 9, 13, 16, 19, 27, 35, 37, 39

Range = maximum - minimum values

Maximum value = 39

Minimum value = 7.8

Range = 39 - 7.8 = 31.2

The variance :

The variance : Σ(X - m)² / (n - 1)

m = mean

n = number of items

m = ΣX/ n = 211.4 / 10 = 21.4

Variance = [(39-21.14)^2 + (37-21.14)^2 + (35-21.14)^2 + (27-21.14)^2 + (19-21.14)^2 + (16-21.14)^2 + (13-21.14)^2 + (9-21.14)^2 + (8.6-21.14)^2 + (7.8-21.14)^2] / (10-1)

Variance = 1376.804 / 9

Variance = 152.978

Standard deviation = √variance

Standard deviation = √152.978

Standard deviation = 12.368

Learn more : https://brainly.com/question/15528814

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