Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 1096274)

1. _____________________ Given a group of data with mean 37 and standard deviation 9, at least what percent of the data will fall between 19 and 55?
2. _____________________ Given a data set comprised of 1892 measurements that is bell-shaped with a mean of 260. It has a standard deviation of 20. What percentage of the data should lie between 200 and 320?
3. _____________________ If a group of data has a mean of 20 and a standard deviation of 14.6, what is the interval that should contain at least 93.8% of the data?
4. _____________________ Given a group of data with mean 50 and standard deviation 8, at least what percent of the data will fall between 18 and 82?
5. _____________________ Given a data set comprised of 4413 measurements that is bell-shaped with a mean of 972. If 68% of the data lies between 906 and 1038 then what is the standard deviation?
6. _____________________ Given a data set comprised of 3911 measurements that is bell-shaped with a mean of -171. It has a standard deviation of 86. What percentage of the data should lie between -429 and -171?
7. _____________________ If a group of data has a mean of 97 and a standard deviation of 53.6, what is the interval that should contain at least 93.8% of the data?
8. _____________________ Given a data set comprised of 4897 measurements that is bell-shaped with a mean of 357. If 99.7% of the data lies between 120 and 594 then what is the standard deviation?
9. _____________________ Given a data set comprised of 2463 measurements that is bell-shaped with a mean of 374. It has a standard deviation of 16. What percentage of the data should lie between 326 and 422?
10. _____________________ Given a data set comprised of 4638 measurements that is bell-shaped with a mean of -715. It has a standard deviation of 46. What percentage of the data should lie between -853 and -715?
11. _____________________ Given a data set comprised of 4437 measurements that is bell-shaped with a mean of 517. It has a standard deviation of 12. What percentage of the data should lie between 493 and 541?
12. _____________________ If a group of data has a mean of 87 and a standard deviation of 91.2, what is the interval that should contain at least 93.8% of the data?
13. _____________________ Given a data set comprised of 3675 measurements that is bell-shaped with a mean of 563. If 95% of the data lies between 381 and 745 then what is the standard deviation?
14. _____________________ Given a group of data with mean 21 and standard deviation 13, at least what percent of the data will fall between -5 and 47?
15. _____________________ If a group of data has a mean of 48 and a standard deviation of 20.4, what is the interval that should contain at least 75% of the data?
16. _____________________ Given a data set comprised of 1875 measurements that is bell-shaped with a mean of 644. If 95% of the data lies between 494 and 794 then what is the standard deviation?
17. _____________________ Given a data set comprised of 3231 measurements that is bell-shaped with a mean of 296. It has a standard deviation of 79. What percentage of the data should lie between 138 and 454?
18. _____________________ Given a group of data with mean 60 and standard deviation 15, at least what percent of the data will fall between 60 and 105?