Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0349115)

1. _____________________ Given a data set comprised of 2840 measurements that is bell-shaped with a mean of 110. If 95% of the data lies between -68 and 288 then what is the standard deviation?
2. _____________________ Given a data set comprised of 4700 measurements that is bell-shaped with a mean of -520. It has a standard deviation of 45. What percentage of the data should lie between -565 and -475?
3. _____________________ Given a group of data with mean 40 and standard deviation 11, at least what percent of the data will fall between 7 and 40?
4. _____________________ Given a data set comprised of 2378 measurements that is bell-shaped with a mean of 168. It has a standard deviation of 15. What percentage of the data should lie between 138 and 168?
5. _____________________ If a group of data has a mean of 47 and a standard deviation of 16.5, what is the interval that should contain at least 88.9% of the data?
6. _____________________ Given a data set comprised of 3077 measurements that is bell-shaped with a mean of 669. It has a standard deviation of 8. What percentage of the data should lie between 669 and 677?
7. _____________________ If a group of data has a mean of 63 and a standard deviation of 43.4, what is the interval that should contain at least 88.9% of the data?
8. _____________________ Given a data set comprised of 3693 measurements that is bell-shaped with a mean of 869. If 68% of the data lies between 846 and 892 then what is the standard deviation?
9. _____________________ Given a group of data with mean 61 and standard deviation 10, at least what percent of the data will fall between 41 and 81?
10. _____________________ Given a data set comprised of 5155 measurements that is bell-shaped with a mean of 252. It has a standard deviation of 25. What percentage of the data should lie between 202 and 252?
11. _____________________ Given a data set comprised of 3353 measurements that is bell-shaped with a mean of 425. If 99.7% of the data lies between 236 and 614 then what is the standard deviation?
12. _____________________ Given a data set comprised of 2382 measurements that is bell-shaped with a mean of -767. It has a standard deviation of 94. What percentage of the data should lie between -1049 and -767?
13. _____________________ Given a group of data with mean 8 and standard deviation 8, at least what percent of the data will fall between -8 and 8?
14. _____________________ Given a group of data with mean 80 and standard deviation 5, at least what percent of the data will fall between 65 and 95?
15. _____________________ If a group of data has a mean of 58 and a standard deviation of 70.2, what is the interval that should contain at least 75% of the data?
16. _____________________ Given a data set comprised of 3685 measurements that is bell-shaped with a mean of 596. If 68% of the data lies between 566 and 626 then what is the standard deviation?
17. _____________________ If a group of data has a mean of 43 and a standard deviation of 56.3, what is the interval that should contain at least 75% of the data?
18. _____________________ Given a data set comprised of 2226 measurements that is bell-shaped with a mean of 787. It has a standard deviation of 26. What percentage of the data should lie between 761 and 813?