Name _____________________________

Date ___________________

Chebyshev's Theorm and the Empirical Rule
(Answer ID # 0443115)

1.

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Given a data set comprised of 2335 measurements that is bell-shaped with a mean of 735. It has a standard deviation of 95. What percentage of the data should lie between 545 and 925?

2.

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Given a data set comprised of 2857 measurements that is bell-shaped with a mean of -120. It has a standard deviation of 13. What percentage of the data should lie between -146 and -94?

3.

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If a group of data has a mean of 96 and a standard deviation of 14.5, what is the interval that should contain at least 75% of the data?

4.

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Given a data set comprised of 4526 measurements that is bell-shaped with a mean of 250. If 99.7% of the data lies between -35 and 535 then what is the standard deviation?

5.

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Given a data set comprised of 5234 measurements that is bell-shaped with a mean of 106. It has a standard deviation of 50. What percentage of the data should lie between 106 and 156?

6.

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Given a group of data with mean 70 and standard deviation 14, at least what percent of the data will fall between 70 and 112?

7.

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Given a group of data with mean 4 and standard deviation 6, at least what percent of the data will fall between -14 and 22?

8.

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Given a data set comprised of 3605 measurements that is bell-shaped with a mean of 989. If 99.7% of the data lies between 725 and 1253 then what is the standard deviation?

9.

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If a group of data has a mean of 26 and a standard deviation of 27.6, what is the interval that should contain at least 88.9% of the data?

10.

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If a group of data has a mean of -18 and a standard deviation of 32.7, what is the interval that should contain at least 93.8% of the data?

11.

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Given a data set comprised of 4351 measurements that is bell-shaped with a mean of 434. If 95% of the data lies between 396 and 472 then what is the standard deviation?

12.

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Given a data set comprised of 4021 measurements that is bell-shaped with a mean of 353. It has a standard deviation of 96. What percentage of the data should lie between 161 and 545?

13.

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Given a data set comprised of 3271 measurements that is bell-shaped with a mean of -240. It has a standard deviation of 34. What percentage of the data should lie between -274 and -206?

14.

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Given a data set comprised of 4079 measurements that is bell-shaped with a mean of 320. If 68% of the data lies between 296 and 344 then what is the standard deviation?

15.

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Given a group of data with mean 50 and standard deviation 10, at least what percent of the data will fall between 20 and 80?

16.

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Given a group of data with mean 33 and standard deviation 11, at least what percent of the data will fall between -22 and 88?

17.

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Given a data set comprised of 3692 measurements that is bell-shaped with a mean of 696. It has a standard deviation of 51. What percentage of the data should lie between 645 and 747?

18.

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If a group of data has a mean of 81 and a standard deviation of 91.9, what is the interval that should contain at least 93.8% of the data?