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 (1equalsnot attractive; 10). 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 adultmales? 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
The range of the sample data is 2 . (Round to one decimal place asneeded.) The standard deviation of the sample data is 2.88 .(Round to one decimal place as needed.)
1. The variance of the sample data is . (Round to one decimal place as needed.)
2. Can the results be used to describe the variation among attractiveness ratings for the population of adult males?
A. It is unlikely that a random sample of adult males can be representative of all adult males. Therefore, the results cannot be used to describe the population.
B. Since it is likely that the male subjects volunteered to participate in speed dating, they may not be representative of all adult males. Therefore, the results cannot be used to describe the population.
C. The results cannot be used to describe the population because a smaller sample would be needed.
D. The results can be used to describe the population because the sample is random.