Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0112302)

1. _____________________ Given a group of data with mean 40 and standard deviation 13, at least what percent of the data will fall between 40 and 92?
2. _____________________ Given a data set comprised of 2816 measurements that is bell-shaped with a mean of -563. It has a standard deviation of 29. What percentage of the data should lie between -621 and -505?
3. _____________________ Given a data set comprised of 5113 measurements that is bell-shaped with a mean of 190. If 99.7% of the data lies between -29 and 409 then what is the standard deviation?
4. _____________________ If a group of data has a mean of 73 and a standard deviation of 78.4, what is the interval that should contain at least 93.8% of the data?
5. _____________________ If a group of data has a mean of 66 and a standard deviation of 90.3, what is the interval that should contain at least 75% of the data?
6. _____________________ Given a data set comprised of 3593 measurements that is bell-shaped with a mean of 803. It has a standard deviation of 62. What percentage of the data should lie between 617 and 989?
7. _____________________ Given a data set comprised of 2306 measurements that is bell-shaped with a mean of 737. If 99.7% of the data lies between 455 and 1019 then what is the standard deviation?
8. _____________________ Given a group of data with mean 20 and standard deviation 13, at least what percent of the data will fall between -19 and 20?
9. _____________________ Given a data set comprised of 5155 measurements that is bell-shaped with a mean of 877. It has a standard deviation of 69. What percentage of the data should lie between 808 and 946?
10. _____________________ If a group of data has a mean of 42 and a standard deviation of 94.4, what is the interval that should contain at least 75% of the data?
11. _____________________ Given a data set comprised of 2747 measurements that is bell-shaped with a mean of 302. If 68% of the data lies between 277 and 327 then what is the standard deviation?
12. _____________________ Given a data set comprised of 2708 measurements that is bell-shaped with a mean of 422. It has a standard deviation of 28. What percentage of the data should lie between 394 and 450?
13. _____________________ If a group of data has a mean of 62 and a standard deviation of 48.2, what is the interval that should contain at least 93.8% of the data?
14. _____________________ Given a group of data with mean 30 and standard deviation 10, at least what percent of the data will fall between -10 and 30?
15. _____________________ Given a group of data with mean 40 and standard deviation 13, at least what percent of the data will fall between -25 and 105?
16. _____________________ Given a data set comprised of 2836 measurements that is bell-shaped with a mean of -857. It has a standard deviation of 46. What percentage of the data should lie between -949 and -765?
17. _____________________ Given a data set comprised of 4244 measurements that is bell-shaped with a mean of 487. If 95% of the data lies between 397 and 577 then what is the standard deviation?
18. _____________________ Given a data set comprised of 2451 measurements that is bell-shaped with a mean of 855. It has a standard deviation of 90. What percentage of the data should lie between 765 and 945?