Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0821202)

1. _____________________ Given a data set comprised of 4564 measurements that is bell-shaped with a mean of 179. It has a standard deviation of 90. What percentage of the data should lie between 89 and 269?
2. _____________________ If a group of data has a mean of 85 and a standard deviation of 10, what is the interval that should contain at least 93.8% of the data?
3. _____________________ Given a data set comprised of 2509 measurements that is bell-shaped with a mean of 254. If 99.7% of the data lies between 233 and 275 then what is the standard deviation?
4. _____________________ Given a group of data with mean -3 and standard deviation 8, at least what percent of the data will fall between -27 and 21?
5. _____________________ Given a data set comprised of 3266 measurements that is bell-shaped with a mean of 417. If 95% of the data lies between 363 and 471 then what is the standard deviation?
6. _____________________ Given a group of data with mean 40 and standard deviation 14, at least what percent of the data will fall between -2 and 82?
7. _____________________ Given a data set comprised of 5361 measurements that is bell-shaped with a mean of -263. It has a standard deviation of 69. What percentage of the data should lie between -332 and -194?
8. _____________________ Given a data set comprised of 3773 measurements that is bell-shaped with a mean of 651. It has a standard deviation of 57. What percentage of the data should lie between 651 and 822?
9. _____________________ If a group of data has a mean of 1 and a standard deviation of 96, what is the interval that should contain at least 93.8% of the data?
10. _____________________ Given a data set comprised of 4512 measurements that is bell-shaped with a mean of 357. It has a standard deviation of 45. What percentage of the data should lie between 222 and 492?
11. _____________________ Given a group of data with mean 70 and standard deviation 14, at least what percent of the data will fall between 28 and 112?
12. _____________________ Given a data set comprised of 5310 measurements that is bell-shaped with a mean of 756. It has a standard deviation of 78. What percentage of the data should lie between 756 and 912?
13. _____________________ If a group of data has a mean of 41 and a standard deviation of 22.5, what is the interval that should contain at least 93.8% of the data?
14. _____________________ Given a data set comprised of 4314 measurements that is bell-shaped with a mean of 720. If 99.7% of the data lies between 684 and 756 then what is the standard deviation?
15. _____________________ Given a data set comprised of 4513 measurements that is bell-shaped with a mean of -404. It has a standard deviation of 33. What percentage of the data should lie between -470 and -338?
16. _____________________ If a group of data has a mean of 68 and a standard deviation of 35.7, what is the interval that should contain at least 88.9% of the data?
17. _____________________ Given a group of data with mean 27 and standard deviation 5, at least what percent of the data will fall between 17 and 37?
18. _____________________ Given a data set comprised of 5147 measurements that is bell-shaped with a mean of 383. If 99.7% of the data lies between 194 and 572 then what is the standard deviation?