Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0947293)

1. _____________________ Given a data set comprised of 3576 measurements that is bell-shaped with a mean of 237. It has a standard deviation of 47. What percentage of the data should lie between 143 and 331?
2. _____________________ If a group of data has a mean of 10 and a standard deviation of 79.9, what is the interval that should contain at least 88.9% of the data?
3. _____________________ Given a data set comprised of 4965 measurements that is bell-shaped with a mean of 769. If 99.7% of the data lies between 676 and 862 then what is the standard deviation?
4. _____________________ Given a data set comprised of 5097 measurements that is bell-shaped with a mean of -549. It has a standard deviation of 50. What percentage of the data should lie between -699 and -399?
5. _____________________ Given a group of data with mean 80 and standard deviation 6, at least what percent of the data will fall between 62 and 98?
6. _____________________ Given a data set comprised of 3585 measurements that is bell-shaped with a mean of 298. It has a standard deviation of 5. What percentage of the data should lie between 288 and 298?
7. _____________________ Given a data set comprised of 2352 measurements that is bell-shaped with a mean of 631. If 99.7% of the data lies between 358 and 904 then what is the standard deviation?
8. _____________________ If a group of data has a mean of 64 and a standard deviation of 72.9, what is the interval that should contain at least 93.8% of the data?
9. _____________________ Given a group of data with mean -15 and standard deviation 14, at least what percent of the data will fall between -43 and -15?
10. _____________________ Given a data set comprised of 4249 measurements that is bell-shaped with a mean of 988. It has a standard deviation of 98. What percentage of the data should lie between 890 and 1086?
11. _____________________ Given a group of data with mean 59 and standard deviation 5, at least what percent of the data will fall between 59 and 79?
12. _____________________ If a group of data has a mean of 9 and a standard deviation of 74.3, what is the interval that should contain at least 93.8% of the data?
13. _____________________ Given a data set comprised of 5141 measurements that is bell-shaped with a mean of 733. If 99.7% of the data lies between 613 and 853 then what is the standard deviation?
14. _____________________ Given a data set comprised of 3393 measurements that is bell-shaped with a mean of 304. If 68% of the data lies between 258 and 350 then what is the standard deviation?
15. _____________________ 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?
16. _____________________ Given a data set comprised of 5341 measurements that is bell-shaped with a mean of 348. It has a standard deviation of 66. What percentage of the data should lie between 216 and 480?
17. _____________________ If a group of data has a mean of 64 and a standard deviation of 52.3, what is the interval that should contain at least 88.9% of the data?
18. _____________________ Given a data set comprised of 3419 measurements that is bell-shaped with a mean of -344. It has a standard deviation of 22. What percentage of the data should lie between -410 and -278?