Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0635010)

1. _____________________ Given a data set comprised of 5233 measurements that is bell-shaped with a mean of 333. It has a standard deviation of 55. What percentage of the data should lie between 168 and 498?
2. _____________________ Given a group of data with mean 70 and standard deviation 15, at least what percent of the data will fall between 40 and 100?
3. _____________________ Given a data set comprised of 4202 measurements that is bell-shaped with a mean of 796. It has a standard deviation of 67. What percentage of the data should lie between 595 and 997?
4. _____________________ Given a data set comprised of 3242 measurements that is bell-shaped with a mean of -572. It has a standard deviation of 20. What percentage of the data should lie between -592 and -572?
5. _____________________ Given a data set comprised of 3246 measurements that is bell-shaped with a mean of 773. If 68% of the data lies between 727 and 819 then what is the standard deviation?
6. _____________________ Given a data set comprised of 4282 measurements that is bell-shaped with a mean of 494. If 95% of the data lies between 378 and 610 then what is the standard deviation?
7. _____________________ If a group of data has a mean of -44 and a standard deviation of 7.9, what is the interval that should contain at least 93.8% of the data?
8. _____________________ If a group of data has a mean of 30 and a standard deviation of 58.3, what is the interval that should contain at least 75% of the data?
9. _____________________ Given a group of data with mean 41 and standard deviation 8, at least what percent of the data will fall between 41 and 73?
10. _____________________ If a group of data has a mean of 96 and a standard deviation of 33.9, what is the interval that should contain at least 88.9% of the data?
11. _____________________ Given a data set comprised of 4327 measurements that is bell-shaped with a mean of 630. It has a standard deviation of 87. What percentage of the data should lie between 369 and 891?
12. _____________________ If a group of data has a mean of 21 and a standard deviation of 5.4, what is the interval that should contain at least 93.8% of the data?
13. _____________________ Given a data set comprised of 4278 measurements that is bell-shaped with a mean of 750. It has a standard deviation of 95. What percentage of the data should lie between 560 and 940?
14. _____________________ Given a data set comprised of 3413 measurements that is bell-shaped with a mean of 136. If 99.7% of the data lies between 52 and 220 then what is the standard deviation?
15. _____________________ Given a group of data with mean 50 and standard deviation 11, at least what percent of the data will fall between -5 and 105?
16. _____________________ Given a data set comprised of 3840 measurements that is bell-shaped with a mean of 861. If 99.7% of the data lies between 831 and 891 then what is the standard deviation?
17. _____________________ Given a data set comprised of 4789 measurements that is bell-shaped with a mean of -901. It has a standard deviation of 52. What percentage of the data should lie between -953 and -901?
18. _____________________ Given a group of data with mean 26 and standard deviation 6, at least what percent of the data will fall between 26 and 56?