Question

In a study of speed​ dating, female subjects were asked to rate the attractiveness of their male​ dates, and a sample of the results is listed below ​(1 equals=not ​attractive; 10 equals=extremely ​attractive). find the​ range, variance, and standard deviation for the given sample data. can the results be used to describe the variation among attractiveness ratings for the population of adult​ males

Answer 1

Answer:

hello the data is missing but it is included in the explanation below

missing data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6

Answer :

A) range = 9 , variance = 8.3015,  standard deviation = 2.8812

B)  The results cannot be a representative of the variation of attractiveness among the population of adult males

Step-by-step explanation:

A ) calculate the Range, variance and standard deviation

The given data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6

i) Range = difference between largest and smallest values

              = 10 -1 = 9

ii) variance = summation of ; (xi − x)^2/n-1

                   = 207.5385/26−1   ≈ 8.3015

iii) standard deviation = $\sqrt{variance}$

                                    = $\sqrt{8.3015}$ = 2.8812

B) The results cannot be a representative of the variation of attractiveness among the population of adult males