Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0419425)

1. _____________________ Given a data set comprised of 5176 measurements that is bell-shaped with a mean of 571. It has a standard deviation of 46. What percentage of the data should lie between 479 and 663?
2. _____________________ Given a data set comprised of 4376 measurements that is bell-shaped with a mean of 124. If 95% of the data lies between 28 and 220 then what is the standard deviation?
3. _____________________ Given a group of data with mean -12 and standard deviation 11, at least what percent of the data will fall between -56 and 32?
4. _____________________ Given a data set comprised of 4245 measurements that is bell-shaped with a mean of 719. If 68% of the data lies between 665 and 773 then what is the standard deviation?
5. _____________________ If a group of data has a mean of -67 and a standard deviation of 41.2, what is the interval that should contain at least 93.8% of the data?
6. _____________________ Given a data set comprised of 3583 measurements that is bell-shaped with a mean of 543. It has a standard deviation of 82. What percentage of the data should lie between 297 and 789?
7. _____________________ If a group of data has a mean of 14 and a standard deviation of 6.3, what is the interval that should contain at least 88.9% of the data?
8. _____________________ Given a group of data with mean 50 and standard deviation 7, at least what percent of the data will fall between 15 and 50?
9. _____________________ Given a data set comprised of 2666 measurements that is bell-shaped with a mean of -912. It has a standard deviation of 8. What percentage of the data should lie between -912 and -904?
10. _____________________ Given a data set comprised of 4675 measurements that is bell-shaped with a mean of 147. It has a standard deviation of 9. What percentage of the data should lie between 138 and 156?
11. _____________________ Given a data set comprised of 3151 measurements that is bell-shaped with a mean of 429. It has a standard deviation of 91. What percentage of the data should lie between 156 and 429?
12. _____________________ Given a data set comprised of 4937 measurements that is bell-shaped with a mean of 363. If 68% of the data lies between 352 and 374 then what is the standard deviation?
13. _____________________ If a group of data has a mean of 88 and a standard deviation of 72.4, what is the interval that should contain at least 88.9% of the data?
14. _____________________ Given a group of data with mean 0 and standard deviation 5, at least what percent of the data will fall between -25 and 25?
15. _____________________ Given a data set comprised of 3291 measurements that is bell-shaped with a mean of -341. It has a standard deviation of 34. What percentage of the data should lie between -443 and -239?
16. _____________________ Given a data set comprised of 3058 measurements that is bell-shaped with a mean of 752. If 99.7% of the data lies between 590 and 914 then what is the standard deviation?
17. _____________________ If a group of data has a mean of 8 and a standard deviation of 42.1, what is the interval that should contain at least 75% of the data?
18. _____________________ Given a group of data with mean 70 and standard deviation 6, at least what percent of the data will fall between 46 and 70?