Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0999651)

1. _____________________ If a group of data has a mean of 30 and a standard deviation of 9.5, what is the interval that should contain at least 75% of the data?
2. _____________________ Given a data set comprised of 4383 measurements that is bell-shaped with a mean of 207. It has a standard deviation of 94. What percentage of the data should lie between 113 and 207?
3. _____________________ If a group of data has a mean of 96 and a standard deviation of 25, what is the interval that should contain at least 93.8% of the data?
4. _____________________ Given a data set comprised of 4335 measurements that is bell-shaped with a mean of -858. It has a standard deviation of 64. What percentage of the data should lie between -922 and -794?
5. _____________________ Given a data set comprised of 4621 measurements that is bell-shaped with a mean of 605. It has a standard deviation of 33. What percentage of the data should lie between 539 and 671?
6. _____________________ Given a group of data with mean 40 and standard deviation 14, at least what percent of the data will fall between -30 and 110?
7. _____________________ Given a group of data with mean 24 and standard deviation 11, at least what percent of the data will fall between -9 and 57?
8. _____________________ Given a data set comprised of 5273 measurements that is bell-shaped with a mean of 481. If 68% of the data lies between 428 and 534 then what is the standard deviation?
9. _____________________ Given a data set comprised of 3696 measurements that is bell-shaped with a mean of 603. If 68% of the data lies between 512 and 694 then what is the standard deviation?
10. _____________________ Given a data set comprised of 3597 measurements that is bell-shaped with a mean of 193. It has a standard deviation of 19. What percentage of the data should lie between 174 and 212?
11. _____________________ Given a data set comprised of 4898 measurements that is bell-shaped with a mean of 379. If 99.7% of the data lies between 88 and 670 then what is the standard deviation?
12. _____________________ Given a group of data with mean 4 and standard deviation 14, at least what percent of the data will fall between 4 and 46?
13. _____________________ If a group of data has a mean of 38 and a standard deviation of 97.7, what is the interval that should contain at least 88.9% of the data?
14. _____________________ Given a data set comprised of 4888 measurements that is bell-shaped with a mean of -991. It has a standard deviation of 26. What percentage of the data should lie between -1069 and -913?
15. _____________________ If a group of data has a mean of 6 and a standard deviation of 80.4, what is the interval that should contain at least 93.8% of the data?
16. _____________________ Given a data set comprised of 2411 measurements that is bell-shaped with a mean of 831. If 99.7% of the data lies between 597 and 1065 then what is the standard deviation?
17. _____________________ Given a data set comprised of 2004 measurements that is bell-shaped with a mean of 276. It has a standard deviation of 5. What percentage of the data should lie between 271 and 281?
18. _____________________ Given a group of data with mean 40 and standard deviation 14, at least what percent of the data will fall between 40 and 96?