Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0273566)

1. _____________________ Given a data set comprised of 4486 measurements that is bell-shaped with a mean of 722. If 68% of the data lies between 716 and 728 then what is the standard deviation?
2. _____________________ Given a group of data with mean 80 and standard deviation 5, at least what percent of the data will fall between 80 and 90?
3. _____________________ Given a group of data with mean 35 and standard deviation 6, at least what percent of the data will fall between 35 and 59?
4. _____________________ Given a data set comprised of 2242 measurements that is bell-shaped with a mean of 310. If 68% of the data lies between 219 and 401 then what is the standard deviation?
5. _____________________ Given a data set comprised of 3968 measurements that is bell-shaped with a mean of 809. It has a standard deviation of 91. What percentage of the data should lie between 536 and 1082?
6. _____________________ Given a data set comprised of 5191 measurements that is bell-shaped with a mean of 434. It has a standard deviation of 39. What percentage of the data should lie between 434 and 551?
7. _____________________ If a group of data has a mean of 67 and a standard deviation of 16.8, what is the interval that should contain at least 75% of the data?
8. _____________________ If a group of data has a mean of 13 and a standard deviation of 96.9, what is the interval that should contain at least 88.9% of the data?
9. _____________________ Given a data set comprised of 4992 measurements that is bell-shaped with a mean of -646. It has a standard deviation of 11. What percentage of the data should lie between -646 and -613?
10. _____________________ Given a data set comprised of 2187 measurements that is bell-shaped with a mean of 181. It has a standard deviation of 52. What percentage of the data should lie between 129 and 233?
11. _____________________ If a group of data has a mean of -75 and a standard deviation of 73.4, what is the interval that should contain at least 75% of the data?
12. _____________________ Given a group of data with mean 35 and standard deviation 9, at least what percent of the data will fall between 35 and 80?
13. _____________________ Given a data set comprised of 4278 measurements that is bell-shaped with a mean of 806. It has a standard deviation of 94. What percentage of the data should lie between 524 and 1088?
14. _____________________ Given a data set comprised of 4338 measurements that is bell-shaped with a mean of 245. If 99.7% of the data lies between 200 and 290 then what is the standard deviation?
15. _____________________ Given a group of data with mean 40 and standard deviation 9, at least what percent of the data will fall between 40 and 67?
16. _____________________ Given a data set comprised of 3230 measurements that is bell-shaped with a mean of -233. It has a standard deviation of 29. What percentage of the data should lie between -233 and -146?
17. _____________________ If a group of data has a mean of 23 and a standard deviation of 10.2, what is the interval that should contain at least 75% of the data?
18. _____________________ Given a data set comprised of 4469 measurements that is bell-shaped with a mean of 934. If 68% of the data lies between 917 and 951 then what is the standard deviation?