Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0161454)

1. _____________________ Given a group of data with mean 60 and standard deviation 7, at least what percent of the data will fall between 46 and 74?
2. _____________________ Given a data set comprised of 2635 measurements that is bell-shaped with a mean of 197. It has a standard deviation of 49. What percentage of the data should lie between 197 and 344?
3. _____________________ Given a data set comprised of 4486 measurements that is bell-shaped with a mean of 329. If 95% of the data lies between 275 and 383 then what is the standard deviation?
4. _____________________ Given a data set comprised of 2090 measurements that is bell-shaped with a mean of 707. It has a standard deviation of 89. What percentage of the data should lie between 529 and 885?
5. _____________________ Given a data set comprised of 3634 measurements that is bell-shaped with a mean of -206. It has a standard deviation of 99. What percentage of the data should lie between -305 and -107?
6. _____________________ If a group of data has a mean of 13 and a standard deviation of 15.7, what is the interval that should contain at least 88.9% of the data?
7. _____________________ Given a group of data with mean 23 and standard deviation 12, at least what percent of the data will fall between -13 and 59?
8. _____________________ If a group of data has a mean of -53 and a standard deviation of 77.5, what is the interval that should contain at least 75% of the data?
9. _____________________ Given a data set comprised of 4298 measurements that is bell-shaped with a mean of 611. If 95% of the data lies between 501 and 721 then what is the standard deviation?
10. _____________________ Given a group of data with mean 17 and standard deviation 15, at least what percent of the data will fall between 17 and 62?
11. _____________________ Given a group of data with mean 70 and standard deviation 5, at least what percent of the data will fall between 60 and 80?
12. _____________________ If a group of data has a mean of -64 and a standard deviation of 35.6, what is the interval that should contain at least 93.8% of the data?
13. _____________________ Given a data set comprised of 2574 measurements that is bell-shaped with a mean of 703. If 68% of the data lies between 635 and 771 then what is the standard deviation?
14. _____________________ Given a data set comprised of 5306 measurements that is bell-shaped with a mean of 168. It has a standard deviation of 40. What percentage of the data should lie between 168 and 288?
15. _____________________ Given a data set comprised of 5306 measurements that is bell-shaped with a mean of 598. If 95% of the data lies between 408 and 788 then what is the standard deviation?
16. _____________________ Given a data set comprised of 3268 measurements that is bell-shaped with a mean of -104. It has a standard deviation of 20. What percentage of the data should lie between -144 and -104?
17. _____________________ Given a data set comprised of 2219 measurements that is bell-shaped with a mean of 839. It has a standard deviation of 14. What percentage of the data should lie between 839 and 853?
18. _____________________ If a group of data has a mean of 73 and a standard deviation of 35.9, what is the interval that should contain at least 93.8% of the data?