Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0728087)

1. _____________________ Given a group of data with mean -26 and standard deviation 11, at least what percent of the data will fall between -26 and -4?
2. _____________________ Given a group of data with mean 80 and standard deviation 12, at least what percent of the data will fall between 80 and 128?
3. _____________________ If a group of data has a mean of 72 and a standard deviation of 1.7, what is the interval that should contain at least 88.9% of the data?
4. _____________________ Given a data set comprised of 4328 measurements that is bell-shaped with a mean of 841. If 95% of the data lies between 767 and 915 then what is the standard deviation?
5. _____________________ Given a data set comprised of 3569 measurements that is bell-shaped with a mean of 658. It has a standard deviation of 84. What percentage of the data should lie between 490 and 826?
6. _____________________ Given a data set comprised of 1933 measurements that is bell-shaped with a mean of 697. If 68% of the data lies between 630 and 764 then what is the standard deviation?
7. _____________________ Given a data set comprised of 2133 measurements that is bell-shaped with a mean of -502. It has a standard deviation of 20. What percentage of the data should lie between -542 and -462?
8. _____________________ If a group of data has a mean of 66 and a standard deviation of 21.7, what is the interval that should contain at least 88.9% of the data?
9. _____________________ Given a data set comprised of 2351 measurements that is bell-shaped with a mean of 423. It has a standard deviation of 33. What percentage of the data should lie between 390 and 456?
10. _____________________ If a group of data has a mean of 86 and a standard deviation of 20.9, what is the interval that should contain at least 93.8% of the data?
11. _____________________ Given a data set comprised of 2743 measurements that is bell-shaped with a mean of 170. If 99.7% of the data lies between -112 and 452 then what is the standard deviation?
12. _____________________ Given a data set comprised of 3028 measurements that is bell-shaped with a mean of 316. It has a standard deviation of 45. What percentage of the data should lie between 271 and 361?
13. _____________________ Given a data set comprised of 5031 measurements that is bell-shaped with a mean of 956. If 99.7% of the data lies between 911 and 1001 then what is the standard deviation?
14. _____________________ Given a group of data with mean -47 and standard deviation 10, at least what percent of the data will fall between -87 and -7?
15. _____________________ Given a data set comprised of 3707 measurements that is bell-shaped with a mean of 409. It has a standard deviation of 41. What percentage of the data should lie between 327 and 491?
16. _____________________ Given a data set comprised of 3417 measurements that is bell-shaped with a mean of -959. It has a standard deviation of 68. What percentage of the data should lie between -1163 and -959?
17. _____________________ If a group of data has a mean of -62 and a standard deviation of 99.3, what is the interval that should contain at least 75% of the data?
18. _____________________ Given a group of data with mean 60 and standard deviation 14, at least what percent of the data will fall between 18 and 102?