Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0570437)

1. _____________________ If a group of data has a mean of 61 and a standard deviation of 57.6, what is the interval that should contain at least 93.8% of the data?
2. _____________________ If a group of data has a mean of 77 and a standard deviation of 26.9, what is the interval that should contain at least 88.9% of the data?
3. _____________________ Given a data set comprised of 4768 measurements that is bell-shaped with a mean of 803. It has a standard deviation of 60. What percentage of the data should lie between 743 and 803?
4. _____________________ Given a data set comprised of 3438 measurements that is bell-shaped with a mean of 299. If 95% of the data lies between 241 and 357 then what is the standard deviation?
5. _____________________ Given a data set comprised of 2706 measurements that is bell-shaped with a mean of -784. It has a standard deviation of 59. What percentage of the data should lie between -784 and -725?
6. _____________________ Given a group of data with mean 9 and standard deviation 11, at least what percent of the data will fall between -46 and 9?
7. _____________________ Given a group of data with mean 70 and standard deviation 5, at least what percent of the data will fall between 50 and 90?
8. _____________________ Given a data set comprised of 4715 measurements that is bell-shaped with a mean of 226. It has a standard deviation of 47. What percentage of the data should lie between 85 and 367?
9. _____________________ Given a data set comprised of 2158 measurements that is bell-shaped with a mean of 219. If 95% of the data lies between 101 and 337 then what is the standard deviation?
10. _____________________ Given a data set comprised of 4922 measurements that is bell-shaped with a mean of 140. It has a standard deviation of 69. What percentage of the data should lie between 71 and 209?
11. _____________________ If a group of data has a mean of 92 and a standard deviation of 36.3, what is the interval that should contain at least 75% of the data?
12. _____________________ Given a group of data with mean -27 and standard deviation 13, at least what percent of the data will fall between -92 and 38?
13. _____________________ If a group of data has a mean of -19 and a standard deviation of 49.6, what is the interval that should contain at least 93.8% of the data?
14. _____________________ Given a data set comprised of 3003 measurements that is bell-shaped with a mean of -460. It has a standard deviation of 90. What percentage of the data should lie between -730 and -190?
15. _____________________ Given a data set comprised of 4758 measurements that is bell-shaped with a mean of 386. If 95% of the data lies between 298 and 474 then what is the standard deviation?
16. _____________________ Given a data set comprised of 1996 measurements that is bell-shaped with a mean of 473. If 68% of the data lies between 404 and 542 then what is the standard deviation?
17. _____________________ Given a group of data with mean 80 and standard deviation 14, at least what percent of the data will fall between 24 and 80?
18. _____________________ Given a data set comprised of 2982 measurements that is bell-shaped with a mean of 117. It has a standard deviation of 48. What percentage of the data should lie between 117 and 261?