Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0459988)

1. _____________________ Given a data set comprised of 2254 measurements that is bell-shaped with a mean of 886. If 95% of the data lies between 802 and 970 then what is the standard deviation?
2. _____________________ Given a data set comprised of 4160 measurements that is bell-shaped with a mean of 596. It has a standard deviation of 36. What percentage of the data should lie between 488 and 704?
3. _____________________ If a group of data has a mean of 89 and a standard deviation of 54.8, what is the interval that should contain at least 75% of the data?
4. _____________________ If a group of data has a mean of -14 and a standard deviation of 41.3, what is the interval that should contain at least 88.9% of the data?
5. _____________________ Given a group of data with mean 45 and standard deviation 6, at least what percent of the data will fall between 27 and 63?
6. _____________________ Given a data set comprised of 1981 measurements that is bell-shaped with a mean of 224. If 99.7% of the data lies between 164 and 284 then what is the standard deviation?
7. _____________________ Given a data set comprised of 3735 measurements that is bell-shaped with a mean of 993. It has a standard deviation of 40. What percentage of the data should lie between 993 and 1033?
8. _____________________ Given a group of data with mean 60 and standard deviation 14, at least what percent of the data will fall between 18 and 60?
9. _____________________ Given a data set comprised of 3724 measurements that is bell-shaped with a mean of -474. It has a standard deviation of 44. What percentage of the data should lie between -562 and -386?
10. _____________________ Given a data set comprised of 3394 measurements that is bell-shaped with a mean of 506. It has a standard deviation of 6. What percentage of the data should lie between 506 and 518?
11. _____________________ Given a group of data with mean 18 and standard deviation 11, at least what percent of the data will fall between 18 and 73?
12. _____________________ If a group of data has a mean of -57 and a standard deviation of 24.5, what is the interval that should contain at least 75% of the data?
13. _____________________ Given a data set comprised of 3418 measurements that is bell-shaped with a mean of 356. If 95% of the data lies between 220 and 492 then what is the standard deviation?
14. _____________________ Given a data set comprised of 3763 measurements that is bell-shaped with a mean of 167. If 95% of the data lies between 13 and 321 then what is the standard deviation?
15. _____________________ Given a data set comprised of 3253 measurements that is bell-shaped with a mean of 509. It has a standard deviation of 84. What percentage of the data should lie between 425 and 593?
16. _____________________ Given a group of data with mean 40 and standard deviation 13, at least what percent of the data will fall between -12 and 92?
17. _____________________ Given a data set comprised of 4129 measurements that is bell-shaped with a mean of -173. It has a standard deviation of 20. What percentage of the data should lie between -193 and -153?
18. _____________________ If a group of data has a mean of 3 and a standard deviation of 89, what is the interval that should contain at least 93.8% of the data?