Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0768295)

1. _____________________ Given a group of data with mean 80 and standard deviation 12, at least what percent of the data will fall between 56 and 104?
2. _____________________ If a group of data has a mean of 12 and a standard deviation of 75.5, what is the interval that should contain at least 93.8% of the data?
3. _____________________ Given a data set comprised of 4247 measurements that is bell-shaped with a mean of 796. If 99.7% of the data lies between 709 and 883 then what is the standard deviation?
4. _____________________ Given a group of data with mean 32 and standard deviation 12, at least what percent of the data will fall between -16 and 32?
5. _____________________ Given a data set comprised of 3526 measurements that is bell-shaped with a mean of 631. It has a standard deviation of 12. What percentage of the data should lie between 619 and 643?
6. _____________________ Given a data set comprised of 3505 measurements that is bell-shaped with a mean of 229. It has a standard deviation of 64. What percentage of the data should lie between 101 and 357?
7. _____________________ If a group of data has a mean of 22 and a standard deviation of 24.2, what is the interval that should contain at least 88.9% of the data?
8. _____________________ Given a data set comprised of 5346 measurements that is bell-shaped with a mean of -259. It has a standard deviation of 95. What percentage of the data should lie between -544 and -259?
9. _____________________ Given a data set comprised of 3294 measurements that is bell-shaped with a mean of 723. If 68% of the data lies between 668 and 778 then what is the standard deviation?
10. _____________________ Given a group of data with mean 28 and standard deviation 9, at least what percent of the data will fall between -17 and 28?
11. _____________________ If a group of data has a mean of 54 and a standard deviation of 62.6, what is the interval that should contain at least 88.9% of the data?
12. _____________________ Given a data set comprised of 3306 measurements that is bell-shaped with a mean of 203. If 95% of the data lies between 19 and 387 then what is the standard deviation?
13. _____________________ Given a data set comprised of 4465 measurements that is bell-shaped with a mean of 717. It has a standard deviation of 87. What percentage of the data should lie between 456 and 978?
14. _____________________ Given a data set comprised of 5288 measurements that is bell-shaped with a mean of 620. It has a standard deviation of 72. What percentage of the data should lie between 620 and 836?
15. _____________________ Given a data set comprised of 2043 measurements that is bell-shaped with a mean of -340. It has a standard deviation of 54. What percentage of the data should lie between -448 and -232?
16. _____________________ If a group of data has a mean of 45 and a standard deviation of 10.9, what is the interval that should contain at least 88.9% of the data?
17. _____________________ Given a data set comprised of 4480 measurements that is bell-shaped with a mean of 556. If 99.7% of the data lies between 511 and 601 then what is the standard deviation?
18. _____________________ Given a group of data with mean 60 and standard deviation 8, at least what percent of the data will fall between 44 and 60?