Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0433224)

1. _____________________ Given a data set comprised of 4706 measurements that is bell-shaped with a mean of 469. If 95% of the data lies between 367 and 571 then what is the standard deviation?
2. _____________________ Given a group of data with mean 10 and standard deviation 8, at least what percent of the data will fall between -14 and 10?
3. _____________________ If a group of data has a mean of 23 and a standard deviation of 34, what is the interval that should contain at least 93.8% of the data?
4. _____________________ Given a data set comprised of 2243 measurements that is bell-shaped with a mean of 160. It has a standard deviation of 77. What percentage of the data should lie between 83 and 237?
5. _____________________ Given a group of data with mean 70 and standard deviation 7, at least what percent of the data will fall between 35 and 105?
6. _____________________ Given a data set comprised of 4684 measurements that is bell-shaped with a mean of -190. It has a standard deviation of 28. What percentage of the data should lie between -190 and -134?
7. _____________________ Given a data set comprised of 3883 measurements that is bell-shaped with a mean of 428. If 68% of the data lies between 343 and 513 then what is the standard deviation?
8. _____________________ Given a data set comprised of 2626 measurements that is bell-shaped with a mean of 692. It has a standard deviation of 77. What percentage of the data should lie between 538 and 846?
9. _____________________ If a group of data has a mean of 32 and a standard deviation of 80.4, what is the interval that should contain at least 75% of the data?
10. _____________________ Given a data set comprised of 2915 measurements that is bell-shaped with a mean of 476. It has a standard deviation of 80. What percentage of the data should lie between 236 and 476?
11. _____________________ Given a data set comprised of 4556 measurements that is bell-shaped with a mean of 405. If 68% of the data lies between 331 and 479 then what is the standard deviation?
12. _____________________ If a group of data has a mean of 14 and a standard deviation of 71.2, what is the interval that should contain at least 88.9% of the data?
13. _____________________ Given a data set comprised of 3615 measurements that is bell-shaped with a mean of 495. If 68% of the data lies between 463 and 527 then what is the standard deviation?
14. _____________________ Given a data set comprised of 2635 measurements that is bell-shaped with a mean of 141. It has a standard deviation of 77. What percentage of the data should lie between 141 and 218?
15. _____________________ Given a data set comprised of 3843 measurements that is bell-shaped with a mean of -145. It has a standard deviation of 62. What percentage of the data should lie between -207 and -83?
16. _____________________ Given a group of data with mean 11 and standard deviation 10, at least what percent of the data will fall between 11 and 41?
17. _____________________ If a group of data has a mean of 97 and a standard deviation of 92.8, what is the interval that should contain at least 75% of the data?
18. _____________________ Given a group of data with mean 70 and standard deviation 15, at least what percent of the data will fall between 40 and 100?