Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0670835)

1. _____________________ If a group of data has a mean of 14 and a standard deviation of 13.3, what is the interval that should contain at least 75% of the data?
2. _____________________ If a group of data has a mean of -16 and a standard deviation of 28.8, what is the interval that should contain at least 75% of the data?
3. _____________________ Given a data set comprised of 4340 measurements that is bell-shaped with a mean of 379. If 95% of the data lies between 369 and 389 then what is the standard deviation?
4. _____________________ Given a data set comprised of 2775 measurements that is bell-shaped with a mean of 956. It has a standard deviation of 52. What percentage of the data should lie between 800 and 1112?
5. _____________________ Given a data set comprised of 4754 measurements that is bell-shaped with a mean of -832. It has a standard deviation of 23. What percentage of the data should lie between -855 and -832?
6. _____________________ Given a group of data with mean -25 and standard deviation 14, at least what percent of the data will fall between -95 and 45?
7. _____________________ Given a data set comprised of 4270 measurements that is bell-shaped with a mean of 746. It has a standard deviation of 69. What percentage of the data should lie between 746 and 815?
8. _____________________ Given a data set comprised of 4598 measurements that is bell-shaped with a mean of 815. If 95% of the data lies between 763 and 867 then what is the standard deviation?
9. _____________________ Given a group of data with mean 50 and standard deviation 10, at least what percent of the data will fall between 50 and 70?
10. _____________________ If a group of data has a mean of 38 and a standard deviation of 60.7, what is the interval that should contain at least 93.8% of the data?
11. _____________________ Given a data set comprised of 4874 measurements that is bell-shaped with a mean of 838. It has a standard deviation of 40. What percentage of the data should lie between 758 and 838?
12. _____________________ If a group of data has a mean of 26 and a standard deviation of 60.8, what is the interval that should contain at least 88.9% of the data?
13. _____________________ Given a group of data with mean 5 and standard deviation 11, at least what percent of the data will fall between -17 and 27?
14. _____________________ Given a data set comprised of 4881 measurements that is bell-shaped with a mean of 804. If 95% of the data lies between 784 and 824 then what is the standard deviation?
15. _____________________ Given a data set comprised of 3595 measurements that is bell-shaped with a mean of -595. It has a standard deviation of 30. What percentage of the data should lie between -685 and -505?
16. _____________________ Given a group of data with mean 40 and standard deviation 5, at least what percent of the data will fall between 20 and 60?
17. _____________________ Given a data set comprised of 2133 measurements that is bell-shaped with a mean of 219. If 95% of the data lies between 35 and 403 then what is the standard deviation?
18. _____________________ Given a data set comprised of 3557 measurements that is bell-shaped with a mean of 598. It has a standard deviation of 55. What percentage of the data should lie between 488 and 708?