Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0131743)

1. _____________________ Given a data set comprised of 3745 measurements that is bell-shaped with a mean of 495. It has a standard deviation of 21. What percentage of the data should lie between 432 and 495?
2. _____________________ Given a data set comprised of 2660 measurements that is bell-shaped with a mean of -525. It has a standard deviation of 60. What percentage of the data should lie between -525 and -465?
3. _____________________ If a group of data has a mean of 11 and a standard deviation of 86.9, what is the interval that should contain at least 93.8% of the data?
4. _____________________ Given a data set comprised of 3871 measurements that is bell-shaped with a mean of 117. If 99.7% of the data lies between -177 and 411 then what is the standard deviation?
5. _____________________ Given a group of data with mean 50 and standard deviation 9, at least what percent of the data will fall between 50 and 77?
6. _____________________ Given a group of data with mean 33 and standard deviation 9, at least what percent of the data will fall between 33 and 51?
7. _____________________ If a group of data has a mean of 8 and a standard deviation of 96.8, what is the interval that should contain at least 75% of the data?
8. _____________________ Given a data set comprised of 3800 measurements that is bell-shaped with a mean of 606. It has a standard deviation of 77. What percentage of the data should lie between 606 and 760?
9. _____________________ Given a data set comprised of 4808 measurements that is bell-shaped with a mean of 910. If 95% of the data lies between 840 and 980 then what is the standard deviation?
10. _____________________ If a group of data has a mean of 27 and a standard deviation of 9.6, what is the interval that should contain at least 88.9% of the data?
11. _____________________ Given a group of data with mean 40 and standard deviation 13, at least what percent of the data will fall between 40 and 92?
12. _____________________ Given a data set comprised of 2298 measurements that is bell-shaped with a mean of 323. It has a standard deviation of 71. What percentage of the data should lie between 252 and 323?
13. _____________________ Given a data set comprised of 4611 measurements that is bell-shaped with a mean of 145. It has a standard deviation of 15. What percentage of the data should lie between 100 and 190?
14. _____________________ If a group of data has a mean of 3 and a standard deviation of 18.2, what is the interval that should contain at least 88.9% of the data?
15. _____________________ Given a data set comprised of 4109 measurements that is bell-shaped with a mean of -627. It has a standard deviation of 60. What percentage of the data should lie between -687 and -567?
16. _____________________ Given a group of data with mean 46 and standard deviation 6, at least what percent of the data will fall between 34 and 58?
17. _____________________ Given a data set comprised of 4633 measurements that is bell-shaped with a mean of 511. If 95% of the data lies between 399 and 623 then what is the standard deviation?
18. _____________________ Given a data set comprised of 2751 measurements that is bell-shaped with a mean of 289. If 68% of the data lies between 267 and 311 then what is the standard deviation?