Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0445180)

1. _____________________ Given a data set comprised of 2537 measurements that is bell-shaped with a mean of 781. If 95% of the data lies between 763 and 799 then what is the standard deviation?
2. _____________________ Given a data set comprised of 2508 measurements that is bell-shaped with a mean of 653. It has a standard deviation of 34. What percentage of the data should lie between 619 and 687?
3. _____________________ Given a data set comprised of 4008 measurements that is bell-shaped with a mean of 696. It has a standard deviation of 39. What percentage of the data should lie between 618 and 774?
4. _____________________ If a group of data has a mean of 99 and a standard deviation of 1.8, what is the interval that should contain at least 88.9% of the data?
5. _____________________ Given a group of data with mean 20 and standard deviation 11, at least what percent of the data will fall between -13 and 53?
6. _____________________ If a group of data has a mean of -23 and a standard deviation of 37.4, what is the interval that should contain at least 88.9% of the data?
7. _____________________ Given a data set comprised of 3625 measurements that is bell-shaped with a mean of -879. It has a standard deviation of 30. What percentage of the data should lie between -969 and -789?
8. _____________________ Given a group of data with mean 60 and standard deviation 9, at least what percent of the data will fall between 24 and 96?
9. _____________________ Given a data set comprised of 2245 measurements that is bell-shaped with a mean of 329. If 95% of the data lies between 139 and 519 then what is the standard deviation?
10. _____________________ Given a group of data with mean 70 and standard deviation 5, at least what percent of the data will fall between 70 and 90?
11. _____________________ Given a data set comprised of 4486 measurements that is bell-shaped with a mean of 153. If 95% of the data lies between 109 and 197 then what is the standard deviation?
12. _____________________ Given a data set comprised of 4631 measurements that is bell-shaped with a mean of 363. It has a standard deviation of 68. What percentage of the data should lie between 295 and 431?
13. _____________________ Given a data set comprised of 2485 measurements that is bell-shaped with a mean of 646. If 99.7% of the data lies between 571 and 721 then what is the standard deviation?
14. _____________________ Given a data set comprised of 2511 measurements that is bell-shaped with a mean of -684. It has a standard deviation of 28. What percentage of the data should lie between -740 and -628?
15. _____________________ If a group of data has a mean of 2 and a standard deviation of 55.4, what is the interval that should contain at least 75% of the data?
16. _____________________ Given a data set comprised of 2249 measurements that is bell-shaped with a mean of 796. It has a standard deviation of 67. What percentage of the data should lie between 729 and 796?
17. _____________________ If a group of data has a mean of -14 and a standard deviation of 41.4, what is the interval that should contain at least 75% of the data?
18. _____________________ Given a group of data with mean 44 and standard deviation 11, at least what percent of the data will fall between -11 and 99?