Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0324955)

1. _____________________ Given a data set comprised of 3127 measurements that is bell-shaped with a mean of 379. If 68% of the data lies between 305 and 453 then what is the standard deviation?
2. _____________________ Given a data set comprised of 2333 measurements that is bell-shaped with a mean of 569. It has a standard deviation of 73. What percentage of the data should lie between 423 and 715?
3. _____________________ Given a data set comprised of 1970 measurements that is bell-shaped with a mean of 140. It has a standard deviation of 40. What percentage of the data should lie between 60 and 220?
4. _____________________ If a group of data has a mean of 14 and a standard deviation of 28.8, what is the interval that should contain at least 88.9% of the data?
5. _____________________ If a group of data has a mean of 82 and a standard deviation of 68.2, what is the interval that should contain at least 75% of the data?
6. _____________________ Given a data set comprised of 3978 measurements that is bell-shaped with a mean of -635. It has a standard deviation of 47. What percentage of the data should lie between -682 and -588?
7. _____________________ Given a group of data with mean 50 and standard deviation 13, at least what percent of the data will fall between 11 and 89?
8. _____________________ Given a data set comprised of 4960 measurements that is bell-shaped with a mean of 914. If 95% of the data lies between 770 and 1058 then what is the standard deviation?
9. _____________________ Given a group of data with mean 40 and standard deviation 6, at least what percent of the data will fall between 40 and 64?
10. _____________________ Given a data set comprised of 5167 measurements that is bell-shaped with a mean of 305. If 95% of the data lies between 231 and 379 then what is the standard deviation?
11. _____________________ Given a data set comprised of 3842 measurements that is bell-shaped with a mean of 620. It has a standard deviation of 51. What percentage of the data should lie between 518 and 620?
12. _____________________ Given a group of data with mean 21 and standard deviation 14, at least what percent of the data will fall between 21 and 49?
13. _____________________ Given a group of data with mean 80 and standard deviation 12, at least what percent of the data will fall between 44 and 80?
14. _____________________ Given a data set comprised of 3619 measurements that is bell-shaped with a mean of 765. If 95% of the data lies between 697 and 833 then what is the standard deviation?
15. _____________________ If a group of data has a mean of 82 and a standard deviation of 89.7, what is the interval that should contain at least 75% of the data?
16. _____________________ Given a data set comprised of 4128 measurements that is bell-shaped with a mean of -854. It has a standard deviation of 78. What percentage of the data should lie between -1010 and -854?
17. _____________________ If a group of data has a mean of -41 and a standard deviation of 13, what is the interval that should contain at least 75% of the data?
18. _____________________ Given a data set comprised of 3042 measurements that is bell-shaped with a mean of 890. It has a standard deviation of 15. What percentage of the data should lie between 890 and 905?