Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0291126)

1. _____________________ Given a group of data with mean 37 and standard deviation 13, at least what percent of the data will fall between 11 and 37?
2. _____________________ Given a data set comprised of 3529 measurements that is bell-shaped with a mean of -418. It has a standard deviation of 56. What percentage of the data should lie between -418 and -306?
3. _____________________ Given a data set comprised of 3948 measurements that is bell-shaped with a mean of 301. It has a standard deviation of 39. What percentage of the data should lie between 223 and 379?
4. _____________________ Given a data set comprised of 2253 measurements that is bell-shaped with a mean of 780. If 99.7% of the data lies between 489 and 1071 then what is the standard deviation?
5. _____________________ Given a data set comprised of 3522 measurements that is bell-shaped with a mean of 266. If 99.7% of the data lies between 50 and 482 then what is the standard deviation?
6. _____________________ If a group of data has a mean of 13 and a standard deviation of 77.9, what is the interval that should contain at least 75% of the data?
7. _____________________ If a group of data has a mean of -78 and a standard deviation of 58.7, what is the interval that should contain at least 88.9% of the data?
8. _____________________ Given a group of data with mean 50 and standard deviation 6, at least what percent of the data will fall between 26 and 74?
9. _____________________ Given a data set comprised of 2663 measurements that is bell-shaped with a mean of 264. It has a standard deviation of 74. What percentage of the data should lie between 42 and 264?
10. _____________________ Given a group of data with mean 23 and standard deviation 10, at least what percent of the data will fall between 3 and 43?
11. _____________________ Given a group of data with mean 60 and standard deviation 10, at least what percent of the data will fall between 60 and 80?
12. _____________________ If a group of data has a mean of -42 and a standard deviation of 19.5, what is the interval that should contain at least 88.9% of the data?
13. _____________________ If a group of data has a mean of 43 and a standard deviation of 23.4, what is the interval that should contain at least 75% of the data?
14. _____________________ Given a data set comprised of 1816 measurements that is bell-shaped with a mean of 668. It has a standard deviation of 72. What percentage of the data should lie between 668 and 740?
15. _____________________ Given a data set comprised of 2471 measurements that is bell-shaped with a mean of 447. If 68% of the data lies between 363 and 531 then what is the standard deviation?
16. _____________________ Given a data set comprised of 3246 measurements that is bell-shaped with a mean of 883. If 99.7% of the data lies between 649 and 1117 then what is the standard deviation?
17. _____________________ Given a data set comprised of 3028 measurements that is bell-shaped with a mean of 546. It has a standard deviation of 39. What percentage of the data should lie between 429 and 546?
18. _____________________ Given a data set comprised of 4865 measurements that is bell-shaped with a mean of -437. It has a standard deviation of 17. What percentage of the data should lie between -471 and -403?