Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0499087)

1. _____________________ Given a data set comprised of 1913 measurements that is bell-shaped with a mean of -666. It has a standard deviation of 24. What percentage of the data should lie between -738 and -666?
2. _____________________ Given a data set comprised of 3144 measurements that is bell-shaped with a mean of 745. It has a standard deviation of 69. What percentage of the data should lie between 538 and 745?
3. _____________________ Given a group of data with mean 80 and standard deviation 10, at least what percent of the data will fall between 60 and 100?
4. _____________________ Given a data set comprised of 4533 measurements that is bell-shaped with a mean of 479. If 99.7% of the data lies between 362 and 596 then what is the standard deviation?
5. _____________________ If a group of data has a mean of 97 and a standard deviation of 42.4, what is the interval that should contain at least 88.9% of the data?
6. _____________________ Given a data set comprised of 3056 measurements that is bell-shaped with a mean of 234. If 99.7% of the data lies between 189 and 279 then what is the standard deviation?
7. _____________________ Given a data set comprised of 3714 measurements that is bell-shaped with a mean of 485. It has a standard deviation of 56. What percentage of the data should lie between 485 and 597?
8. _____________________ Given a group of data with mean 41 and standard deviation 7, at least what percent of the data will fall between 41 and 55?
9. _____________________ If a group of data has a mean of 2 and a standard deviation of 15.4, what is the interval that should contain at least 93.8% of the data?
10. _____________________ Given a data set comprised of 4034 measurements that is bell-shaped with a mean of -272. It has a standard deviation of 42. What percentage of the data should lie between -398 and -146?
11. _____________________ Given a data set comprised of 4268 measurements that is bell-shaped with a mean of 584. If 95% of the data lies between 446 and 722 then what is the standard deviation?
12. _____________________ If a group of data has a mean of 93 and a standard deviation of 16.4, what is the interval that should contain at least 75% of the data?
13. _____________________ Given a data set comprised of 2172 measurements that is bell-shaped with a mean of 223. It has a standard deviation of 55. What percentage of the data should lie between 58 and 388?
14. _____________________ Given a data set comprised of 2124 measurements that is bell-shaped with a mean of 765. If 95% of the data lies between 715 and 815 then what is the standard deviation?
15. _____________________ Given a group of data with mean 80 and standard deviation 11, at least what percent of the data will fall between 25 and 135?
16. _____________________ Given a group of data with mean 30 and standard deviation 5, at least what percent of the data will fall between 20 and 40?
17. _____________________ If a group of data has a mean of 44 and a standard deviation of 70.1, what is the interval that should contain at least 75% of the data?
18. _____________________ Given a data set comprised of 5226 measurements that is bell-shaped with a mean of 631. It has a standard deviation of 73. What percentage of the data should lie between 412 and 850?