Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0419943)

1. _____________________ If a group of data has a mean of 58 and a standard deviation of 8.9, what is the interval that should contain at least 93.8% of the data?
2. _____________________ If a group of data has a mean of 34 and a standard deviation of 66.1, what is the interval that should contain at least 93.8% of the data?
3. _____________________ Given a data set comprised of 4238 measurements that is bell-shaped with a mean of 560. It has a standard deviation of 30. What percentage of the data should lie between 470 and 650?
4. _____________________ Given a group of data with mean -43 and standard deviation 14, at least what percent of the data will fall between -43 and 13?
5. _____________________ Given a data set comprised of 5181 measurements that is bell-shaped with a mean of -778. It has a standard deviation of 49. What percentage of the data should lie between -827 and -729?
6. _____________________ Given a data set comprised of 3454 measurements that is bell-shaped with a mean of 525. If 68% of the data lies between 491 and 559 then what is the standard deviation?
7. _____________________ Given a group of data with mean 70 and standard deviation 15, at least what percent of the data will fall between 25 and 115?
8. _____________________ Given a data set comprised of 2113 measurements that is bell-shaped with a mean of 172. It has a standard deviation of 54. What percentage of the data should lie between 118 and 226?
9. _____________________ Given a data set comprised of 3520 measurements that is bell-shaped with a mean of 211. If 99.7% of the data lies between 112 and 310 then what is the standard deviation?
10. _____________________ Given a data set comprised of 2379 measurements that is bell-shaped with a mean of -256. It has a standard deviation of 46. What percentage of the data should lie between -394 and -118?
11. _____________________ Given a group of data with mean -14 and standard deviation 11, at least what percent of the data will fall between -58 and 30?
12. _____________________ If a group of data has a mean of 79 and a standard deviation of 11.3, what is the interval that should contain at least 93.8% of the data?
13. _____________________ Given a data set comprised of 3161 measurements that is bell-shaped with a mean of 792. It has a standard deviation of 84. What percentage of the data should lie between 624 and 960?
14. _____________________ Given a data set comprised of 5178 measurements that is bell-shaped with a mean of 223. If 99.7% of the data lies between 178 and 268 then what is the standard deviation?
15. _____________________ Given a data set comprised of 4891 measurements that is bell-shaped with a mean of 828. If 99.7% of the data lies between 690 and 966 then what is the standard deviation?
16. _____________________ Given a group of data with mean 80 and standard deviation 15, at least what percent of the data will fall between 20 and 140?
17. _____________________ Given a data set comprised of 3490 measurements that is bell-shaped with a mean of 969. It has a standard deviation of 27. What percentage of the data should lie between 888 and 1050?
18. _____________________ If a group of data has a mean of 18 and a standard deviation of 3.9, what is the interval that should contain at least 75% of the data?