Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0701242)

1. _____________________ If a group of data has a mean of 5 and a standard deviation of 8.5, what is the interval that should contain at least 93.8% of the data?
2. _____________________ If a group of data has a mean of 51 and a standard deviation of 0.6, what is the interval that should contain at least 75% of the data?
3. _____________________ Given a group of data with mean -19 and standard deviation 15, at least what percent of the data will fall between -64 and 26?
4. _____________________ Given a data set comprised of 5116 measurements that is bell-shaped with a mean of -754. It has a standard deviation of 10. What percentage of the data should lie between -764 and -744?
5. _____________________ Given a group of data with mean 60 and standard deviation 12, at least what percent of the data will fall between 12 and 60?
6. _____________________ Given a data set comprised of 2106 measurements that is bell-shaped with a mean of 202. It has a standard deviation of 62. What percentage of the data should lie between 16 and 202?
7. _____________________ Given a data set comprised of 5366 measurements that is bell-shaped with a mean of 549. If 68% of the data lies between 493 and 605 then what is the standard deviation?
8. _____________________ Given a data set comprised of 5091 measurements that is bell-shaped with a mean of 845. If 68% of the data lies between 830 and 860 then what is the standard deviation?
9. _____________________ Given a data set comprised of 3195 measurements that is bell-shaped with a mean of 690. It has a standard deviation of 78. What percentage of the data should lie between 456 and 924?
10. _____________________ Given a group of data with mean -17 and standard deviation 11, at least what percent of the data will fall between -50 and -17?
11. _____________________ Given a data set comprised of 4495 measurements that is bell-shaped with a mean of 443. If 95% of the data lies between 357 and 529 then what is the standard deviation?
12. _____________________ If a group of data has a mean of 35 and a standard deviation of 94.8, what is the interval that should contain at least 75% of the data?
13. _____________________ Given a data set comprised of 2736 measurements that is bell-shaped with a mean of 523. It has a standard deviation of 97. What percentage of the data should lie between 329 and 717?
14. _____________________ Given a data set comprised of 4951 measurements that is bell-shaped with a mean of 640. If 68% of the data lies between 541 and 739 then what is the standard deviation?
15. _____________________ Given a data set comprised of 2355 measurements that is bell-shaped with a mean of -852. It has a standard deviation of 70. What percentage of the data should lie between -922 and -852?
16. _____________________ If a group of data has a mean of -14 and a standard deviation of 40.8, what is the interval that should contain at least 88.9% of the data?
17. _____________________ Given a data set comprised of 2080 measurements that is bell-shaped with a mean of 782. It has a standard deviation of 85. What percentage of the data should lie between 782 and 1037?
18. _____________________ Given a group of data with mean 80 and standard deviation 9, at least what percent of the data will fall between 44 and 116?