Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0302886)

1. _____________________ Given a data set comprised of 3597 measurements that is bell-shaped with a mean of -838. It has a standard deviation of 34. What percentage of the data should lie between -872 and -838?
2. _____________________ Given a data set comprised of 2579 measurements that is bell-shaped with a mean of 846. It has a standard deviation of 11. What percentage of the data should lie between 835 and 857?
3. _____________________ Given a data set comprised of 3992 measurements that is bell-shaped with a mean of 291. It has a standard deviation of 84. What percentage of the data should lie between 207 and 375?
4. _____________________ Given a group of data with mean 56 and standard deviation 12, at least what percent of the data will fall between -4 and 116?
5. _____________________ Given a data set comprised of 3292 measurements that is bell-shaped with a mean of 732. If 95% of the data lies between 548 and 916 then what is the standard deviation?
6. _____________________ Given a group of data with mean 60 and standard deviation 14, at least what percent of the data will fall between 18 and 102?
7. _____________________ Given a data set comprised of 2144 measurements that is bell-shaped with a mean of 307. If 99.7% of the data lies between 160 and 454 then what is the standard deviation?
8. _____________________ If a group of data has a mean of 78 and a standard deviation of 93.3, what is the interval that should contain at least 88.9% of the data?
9. _____________________ If a group of data has a mean of 19 and a standard deviation of 2.8, what is the interval that should contain at least 93.8% of the data?
10. _____________________ Given a data set comprised of 2741 measurements that is bell-shaped with a mean of 589. If 68% of the data lies between 552 and 626 then what is the standard deviation?
11. _____________________ Given a group of data with mean 30 and standard deviation 11, at least what percent of the data will fall between 30 and 85?
12. _____________________ Given a data set comprised of 2251 measurements that is bell-shaped with a mean of -838. It has a standard deviation of 33. What percentage of the data should lie between -871 and -838?
13. _____________________ Given a data set comprised of 2184 measurements that is bell-shaped with a mean of 919. It has a standard deviation of 66. What percentage of the data should lie between 919 and 1117?
14. _____________________ Given a data set comprised of 2636 measurements that is bell-shaped with a mean of 411. It has a standard deviation of 74. What percentage of the data should lie between 337 and 485?
15. _____________________ If a group of data has a mean of 28 and a standard deviation of 13.4, what is the interval that should contain at least 75% of the data?
16. _____________________ Given a group of data with mean 50 and standard deviation 9, at least what percent of the data will fall between 50 and 68?
17. _____________________ Given a data set comprised of 4930 measurements that is bell-shaped with a mean of 424. If 68% of the data lies between 411 and 437 then what is the standard deviation?
18. _____________________ If a group of data has a mean of 65 and a standard deviation of 0.9, what is the interval that should contain at least 93.8% of the data?