Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0292272)

1. _____________________ Given a data set comprised of 3593 measurements that is bell-shaped with a mean of 972. It has a standard deviation of 72. What percentage of the data should lie between 900 and 1044?
2. _____________________ If a group of data has a mean of 77 and a standard deviation of 65.4, what is the interval that should contain at least 93.8% of the data?
3. _____________________ Given a group of data with mean 40 and standard deviation 10, at least what percent of the data will fall between 10 and 70?
4. _____________________ Given a data set comprised of 2003 measurements that is bell-shaped with a mean of -407. It has a standard deviation of 72. What percentage of the data should lie between -551 and -263?
5. _____________________ If a group of data has a mean of 17 and a standard deviation of 65.1, what is the interval that should contain at least 88.9% of the data?
6. _____________________ Given a data set comprised of 2179 measurements that is bell-shaped with a mean of 273. It has a standard deviation of 47. What percentage of the data should lie between 179 and 273?
7. _____________________ Given a group of data with mean 31 and standard deviation 5, at least what percent of the data will fall between 6 and 56?
8. _____________________ Given a data set comprised of 5370 measurements that is bell-shaped with a mean of 300. If 68% of the data lies between 249 and 351 then what is the standard deviation?
9. _____________________ Given a data set comprised of 4627 measurements that is bell-shaped with a mean of 845. If 68% of the data lies between 828 and 862 then what is the standard deviation?
10. _____________________ Given a data set comprised of 4174 measurements that is bell-shaped with a mean of 365. It has a standard deviation of 85. What percentage of the data should lie between 110 and 620?
11. _____________________ Given a data set comprised of 2698 measurements that is bell-shaped with a mean of -325. It has a standard deviation of 89. What percentage of the data should lie between -503 and -147?
12. _____________________ Given a data set comprised of 3355 measurements that is bell-shaped with a mean of 405. If 68% of the data lies between 381 and 429 then what is the standard deviation?
13. _____________________ Given a group of data with mean 40 and standard deviation 7, at least what percent of the data will fall between 5 and 75?
14. _____________________ If a group of data has a mean of 49 and a standard deviation of 25.4, what is the interval that should contain at least 75% of the data?
15. _____________________ Given a group of data with mean 62 and standard deviation 10, at least what percent of the data will fall between 42 and 82?
16. _____________________ Given a data set comprised of 2149 measurements that is bell-shaped with a mean of 561. It has a standard deviation of 56. What percentage of the data should lie between 449 and 673?
17. _____________________ Given a data set comprised of 4480 measurements that is bell-shaped with a mean of 577. If 68% of the data lies between 532 and 622 then what is the standard deviation?
18. _____________________ If a group of data has a mean of -21 and a standard deviation of 97.6, what is the interval that should contain at least 93.8% of the data?