4. Ages of Accountants
The average age of the accountants at Three Rivers Corp. is 26 years, with a standard deviation of 6 years. The average salary of the accountants is $31,000, with a standard deviation of $4,000. Compare the variations of age and income.
5. For superstars only
Citrus Fruit Consumption
The average U.S. yearly per capita consumption of citrus fruit is 26.8 pounds. Suppose that the distribution of fruit amounts consumed is bell-shaped with a standard deviation equal to 4.2 pounds. What percentage of Americans would you expect to consume more than 31 pounds of citrus fruit per year?
6. Serum Cholesterol Levels
For this data set, find the mean and standard deviation of the variable. The data represent the serum cholesterol levels of 30 individuals. Count the number of data values that fall within 2 standard deviations of the mean. Compare this with the number obtained from Chebyshev's theorem. Comment on the answer.
Data set: 211, 240, 255, 219, 204, 200, 212, 193, 187, 205, 256, 203, 210, 221, 249, 231, 212, 236, 204, 187, 201, 247, 206, 187, 200, 237, 227, 221, 192, 196.