Name _____________________________
Date ___________________
Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0403372)

1. _____________________ Given a data set comprised of 3262 measurements that is bell-shaped with a mean of 283. If 99.7% of the data lies between -2 and 568 then what is the standard deviation?
2. _____________________ Given a data set comprised of 4741 measurements that is bell-shaped with a mean of 680. If 68% of the data lies between 581 and 779 then what is the standard deviation?
3. _____________________ If a group of data has a mean of 26 and a standard deviation of 35.5, what is the interval that should contain at least 88.9% of the data?
4. _____________________ Given a group of data with mean -2 and standard deviation 13, at least what percent of the data will fall between -28 and -2?
5. _____________________ Given a data set comprised of 2770 measurements that is bell-shaped with a mean of 692. It has a standard deviation of 64. What percentage of the data should lie between 628 and 756?
6. _____________________ If a group of data has a mean of 10 and a standard deviation of 63.1, what is the interval that should contain at least 93.8% of the data?
7. _____________________ Given a data set comprised of 4542 measurements that is bell-shaped with a mean of -790. It has a standard deviation of 18. What percentage of the data should lie between -826 and -754?
8. _____________________ Given a data set comprised of 3762 measurements that is bell-shaped with a mean of 138. It has a standard deviation of 65. What percentage of the data should lie between 73 and 138?
9. _____________________ Given a group of data with mean 50 and standard deviation 13, at least what percent of the data will fall between 50 and 76?
10. _____________________ If a group of data has a mean of 85 and a standard deviation of 2, what is the interval that should contain at least 75% of the data?
11. _____________________ Given a data set comprised of 3168 measurements that is bell-shaped with a mean of 276. It has a standard deviation of 54. What percentage of the data should lie between 168 and 384?
12. _____________________ Given a group of data with mean 42 and standard deviation 8, at least what percent of the data will fall between 26 and 42?
13. _____________________ Given a data set comprised of 4930 measurements that is bell-shaped with a mean of -630. It has a standard deviation of 84. What percentage of the data should lie between -882 and -630?
14. _____________________ Given a group of data with mean 80 and standard deviation 9, at least what percent of the data will fall between 35 and 125?
15. _____________________ Given a data set comprised of 3237 measurements that is bell-shaped with a mean of 428. If 68% of the data lies between 389 and 467 then what is the standard deviation?
16. _____________________ Given a data set comprised of 2183 measurements that is bell-shaped with a mean of 444. It has a standard deviation of 42. What percentage of the data should lie between 402 and 444?
17. _____________________ Given a data set comprised of 2887 measurements that is bell-shaped with a mean of 233. If 95% of the data lies between 109 and 357 then what is the standard deviation?
18. _____________________ If a group of data has a mean of 58 and a standard deviation of 76.9, what is the interval that should contain at least 75% of the data?