Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0175450)

1. _____________________ Given a group of data with mean 60 and standard deviation 15, at least what percent of the data will fall between 15 and 105?
2. _____________________ Given a group of data with mean 41 and standard deviation 7, at least what percent of the data will fall between 27 and 55?
3. _____________________ Given a data set comprised of 4113 measurements that is bell-shaped with a mean of -935. It has a standard deviation of 41. What percentage of the data should lie between -976 and -894?
4. _____________________ Given a data set comprised of 3647 measurements that is bell-shaped with a mean of 122. It has a standard deviation of 55. What percentage of the data should lie between -43 and 122?
5. _____________________ Given a data set comprised of 3110 measurements that is bell-shaped with a mean of 436. If 95% of the data lies between 276 and 596 then what is the standard deviation?
6. _____________________ Given a data set comprised of 5334 measurements that is bell-shaped with a mean of 682. If 99.7% of the data lies between 610 and 754 then what is the standard deviation?
7. _____________________ If a group of data has a mean of -84 and a standard deviation of 80.7, what is the interval that should contain at least 88.9% of the data?
8. _____________________ If a group of data has a mean of 5 and a standard deviation of 51, what is the interval that should contain at least 93.8% of the data?
9. _____________________ Given a data set comprised of 5373 measurements that is bell-shaped with a mean of 820. It has a standard deviation of 41. What percentage of the data should lie between 697 and 820?
10. _____________________ Given a group of data with mean -45 and standard deviation 15, at least what percent of the data will fall between -120 and 30?
11. _____________________ Given a data set comprised of 4103 measurements that is bell-shaped with a mean of 256. It has a standard deviation of 94. What percentage of the data should lie between -26 and 256?
12. _____________________ If a group of data has a mean of 5 and a standard deviation of 46.8, what is the interval that should contain at least 93.8% of the data?
13. _____________________ Given a data set comprised of 4292 measurements that is bell-shaped with a mean of 915. It has a standard deviation of 13. What percentage of the data should lie between 876 and 915?
14. _____________________ If a group of data has a mean of 67 and a standard deviation of 5.9, what is the interval that should contain at least 88.9% of the data?
15. _____________________ Given a data set comprised of 5233 measurements that is bell-shaped with a mean of 613. If 95% of the data lies between 459 and 767 then what is the standard deviation?
16. _____________________ Given a data set comprised of 5139 measurements that is bell-shaped with a mean of -321. It has a standard deviation of 17. What percentage of the data should lie between -372 and -321?
17. _____________________ Given a group of data with mean 60 and standard deviation 6, at least what percent of the data will fall between 30 and 90?
18. _____________________ Given a data set comprised of 2955 measurements that is bell-shaped with a mean of 760. If 99.7% of the data lies between 523 and 997 then what is the standard deviation?