Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0878014)

1. _____________________ Given a data set comprised of 4649 measurements that is bell-shaped with a mean of 370. It has a standard deviation of 59. What percentage of the data should lie between 193 and 547?
2. _____________________ Given a data set comprised of 5325 measurements that is bell-shaped with a mean of 681. If 95% of the data lies between 533 and 829 then what is the standard deviation?
3. _____________________ If a group of data has a mean of 34 and a standard deviation of 24.7, what is the interval that should contain at least 93.8% of the data?
4. _____________________ Given a data set comprised of 3591 measurements that is bell-shaped with a mean of 437. It has a standard deviation of 38. What percentage of the data should lie between 323 and 551?
5. _____________________ Given a group of data with mean -35 and standard deviation 8, at least what percent of the data will fall between -67 and -3?
6. _____________________ Given a group of data with mean 70 and standard deviation 10, at least what percent of the data will fall between 50 and 70?
7. _____________________ If a group of data has a mean of 2 and a standard deviation of 87.8, what is the interval that should contain at least 75% of the data?
8. _____________________ Given a data set comprised of 3823 measurements that is bell-shaped with a mean of -162. It has a standard deviation of 79. What percentage of the data should lie between -162 and -4?
9. _____________________ Given a data set comprised of 3988 measurements that is bell-shaped with a mean of 439. If 95% of the data lies between 393 and 485 then what is the standard deviation?
10. _____________________ Given a data set comprised of 4474 measurements that is bell-shaped with a mean of 826. It has a standard deviation of 16. What percentage of the data should lie between 826 and 858?
11. _____________________ If a group of data has a mean of -1 and a standard deviation of 97.9, what is the interval that should contain at least 75% of the data?
12. _____________________ Given a data set comprised of 3863 measurements that is bell-shaped with a mean of -501. It has a standard deviation of 98. What percentage of the data should lie between -501 and -305?
13. _____________________ Given a data set comprised of 3491 measurements that is bell-shaped with a mean of 287. If 68% of the data lies between 217 and 357 then what is the standard deviation?
14. _____________________ If a group of data has a mean of 22 and a standard deviation of 52.2, what is the interval that should contain at least 88.9% of the data?
15. _____________________ Given a group of data with mean 80 and standard deviation 11, at least what percent of the data will fall between 58 and 80?
16. _____________________ Given a data set comprised of 1856 measurements that is bell-shaped with a mean of 204. If 68% of the data lies between 144 and 264 then what is the standard deviation?
17. _____________________ Given a data set comprised of 4737 measurements that is bell-shaped with a mean of 771. It has a standard deviation of 81. What percentage of the data should lie between 771 and 852?
18. _____________________ Given a group of data with mean 52 and standard deviation 15, at least what percent of the data will fall between 7 and 97?