Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0211239)

1. _____________________ Given a data set comprised of 4323 measurements that is bell-shaped with a mean of 447. If 95% of the data lies between 399 and 495 then what is the standard deviation?
2. _____________________ If a group of data has a mean of -5 and a standard deviation of 60.7, what is the interval that should contain at least 88.9% of the data?
3. _____________________ Given a group of data with mean 80 and standard deviation 15, at least what percent of the data will fall between 50 and 110?
4. _____________________ Given a data set comprised of 2046 measurements that is bell-shaped with a mean of 397. It has a standard deviation of 96. What percentage of the data should lie between 109 and 685?
5. _____________________ If a group of data has a mean of 68 and a standard deviation of 26, what is the interval that should contain at least 93.8% of the data?
6. _____________________ Given a data set comprised of 3641 measurements that is bell-shaped with a mean of 319. It has a standard deviation of 46. What percentage of the data should lie between 319 and 365?
7. _____________________ Given a data set comprised of 2965 measurements that is bell-shaped with a mean of -941. It has a standard deviation of 49. What percentage of the data should lie between -941 and -794?
8. _____________________ Given a group of data with mean 42 and standard deviation 13, at least what percent of the data will fall between 3 and 81?
9. _____________________ Given a data set comprised of 3047 measurements that is bell-shaped with a mean of 433. If 68% of the data lies between 426 and 440 then what is the standard deviation?
10. _____________________ Given a data set comprised of 1947 measurements that is bell-shaped with a mean of 444. It has a standard deviation of 19. What percentage of the data should lie between 444 and 463?
11. _____________________ Given a data set comprised of 4007 measurements that is bell-shaped with a mean of -689. It has a standard deviation of 31. What percentage of the data should lie between -782 and -596?
12. _____________________ 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?
13. _____________________ Given a data set comprised of 2156 measurements that is bell-shaped with a mean of 799. It has a standard deviation of 64. What percentage of the data should lie between 607 and 991?
14. _____________________ Given a data set comprised of 4317 measurements that is bell-shaped with a mean of 133. If 68% of the data lies between 67 and 199 then what is the standard deviation?
15. _____________________ Given a data set comprised of 3744 measurements that is bell-shaped with a mean of 368. If 99.7% of the data lies between 80 and 656 then what is the standard deviation?
16. _____________________ If a group of data has a mean of 27 and a standard deviation of 57.1, what is the interval that should contain at least 93.8% of the data?
17. _____________________ Given a group of data with mean -10 and standard deviation 8, at least what percent of the data will fall between -34 and 14?
18. _____________________ If a group of data has a mean of 28 and a standard deviation of 2.1, what is the interval that should contain at least 93.8% of the data?