Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0666663)

1. _____________________ Given a data set comprised of 3828 measurements that is bell-shaped with a mean of 153. If 68% of the data lies between 63 and 243 then what is the standard deviation?
2. _____________________ Given a data set comprised of 1987 measurements that is bell-shaped with a mean of 823. If 68% of the data lies between 779 and 867 then what is the standard deviation?
3. _____________________ Given a data set comprised of 2872 measurements that is bell-shaped with a mean of -787. It has a standard deviation of 18. What percentage of the data should lie between -823 and -751?
4. _____________________ Given a group of data with mean 18 and standard deviation 8, at least what percent of the data will fall between -6 and 18?
5. _____________________ Given a data set comprised of 3411 measurements that is bell-shaped with a mean of 1000. It has a standard deviation of 88. What percentage of the data should lie between 824 and 1176?
6. _____________________ If a group of data has a mean of 16 and a standard deviation of 24.8, what is the interval that should contain at least 75% of the data?
7. _____________________ Given a group of data with mean 70 and standard deviation 12, at least what percent of the data will fall between 10 and 130?
8. _____________________ If a group of data has a mean of -15 and a standard deviation of 77.1, what is the interval that should contain at least 88.9% of the data?
9. _____________________ Given a data set comprised of 4542 measurements that is bell-shaped with a mean of 720. It has a standard deviation of 96. What percentage of the data should lie between 432 and 1008?
10. _____________________ If a group of data has a mean of 82 and a standard deviation of 17.4, what is the interval that should contain at least 88.9% of the data?
11. _____________________ Given a data set comprised of 4586 measurements that is bell-shaped with a mean of 463. If 68% of the data lies between 388 and 538 then what is the standard deviation?
12. _____________________ If a group of data has a mean of 31 and a standard deviation of 77.9, what is the interval that should contain at least 75% of the data?
13. _____________________ Given a data set comprised of 4810 measurements that is bell-shaped with a mean of -131. It has a standard deviation of 59. What percentage of the data should lie between -249 and -13?
14. _____________________ Given a data set comprised of 2845 measurements that is bell-shaped with a mean of 939. It has a standard deviation of 80. What percentage of the data should lie between 779 and 1099?
15. _____________________ Given a data set comprised of 3882 measurements that is bell-shaped with a mean of 165. It has a standard deviation of 83. What percentage of the data should lie between -1 and 331?
16. _____________________ Given a group of data with mean 80 and standard deviation 5, at least what percent of the data will fall between 60 and 80?
17. _____________________ Given a data set comprised of 2121 measurements that is bell-shaped with a mean of 658. If 99.7% of the data lies between 547 and 769 then what is the standard deviation?
18. _____________________ Given a group of data with mean 37 and standard deviation 14, at least what percent of the data will fall between -33 and 107?