Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0684783)

1. _____________________ Given a data set comprised of 4009 measurements that is bell-shaped with a mean of 406. It has a standard deviation of 42. What percentage of the data should lie between 322 and 490?
2. _____________________ If a group of data has a mean of -14 and a standard deviation of 58.6, what is the interval that should contain at least 93.8% of the data?
3. _____________________ Given a data set comprised of 3856 measurements that is bell-shaped with a mean of 943. It has a standard deviation of 44. What percentage of the data should lie between 811 and 1075?
4. _____________________ Given a group of data with mean 40 and standard deviation 15, at least what percent of the data will fall between -5 and 85?
5. _____________________ Given a data set comprised of 4425 measurements that is bell-shaped with a mean of -772. It has a standard deviation of 59. What percentage of the data should lie between -949 and -595?
6. _____________________ Given a group of data with mean 45 and standard deviation 14, at least what percent of the data will fall between -11 and 101?
7. _____________________ Given a data set comprised of 3608 measurements that is bell-shaped with a mean of 751. If 99.7% of the data lies between 514 and 988 then what is the standard deviation?
8. _____________________ Given a data set comprised of 3486 measurements that is bell-shaped with a mean of 560. If 68% of the data lies between 533 and 587 then what is the standard deviation?
9. _____________________ If a group of data has a mean of 76 and a standard deviation of 87.9, what is the interval that should contain at least 75% of the data?
10. _____________________ Given a data set comprised of 2527 measurements that is bell-shaped with a mean of 857. If 95% of the data lies between 763 and 951 then what is the standard deviation?
11. _____________________ Given a data set comprised of 3014 measurements that is bell-shaped with a mean of -437. It has a standard deviation of 36. What percentage of the data should lie between -509 and -365?
12. _____________________ Given a data set comprised of 5139 measurements that is bell-shaped with a mean of 623. It has a standard deviation of 45. What percentage of the data should lie between 533 and 713?
13. _____________________ Given a data set comprised of 4783 measurements that is bell-shaped with a mean of 124. It has a standard deviation of 88. What percentage of the data should lie between -140 and 388?
14. _____________________ If a group of data has a mean of -16 and a standard deviation of 95.9, what is the interval that should contain at least 75% of the data?
15. _____________________ Given a group of data with mean 70 and standard deviation 15, at least what percent of the data will fall between 70 and 130?
16. _____________________ If a group of data has a mean of 50 and a standard deviation of 24.3, what is the interval that should contain at least 88.9% of the data?
17. _____________________ Given a group of data with mean -26 and standard deviation 11, at least what percent of the data will fall between -48 and -4?
18. _____________________ Given a data set comprised of 3648 measurements that is bell-shaped with a mean of 894. If 68% of the data lies between 844 and 944 then what is the standard deviation?