SOLUTION: Using Chebyshev's theorm find what percent of the values will fall between 175 and 241 for a data set with a mean of 208 and standard deviation of 11. Use the Empirical rule to

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Question 397411: Using Chebyshev's theorm find what percent of the values will fall between 175 and 241 for a data set with a mean of 208 and standard deviation of 11.
Use the Empirical rule to find what two values 99.7% of the data will fall between for a data set with a mean of 245 and standard deviation of 16.

Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
Chebyshev's Theorem states that
and ==> . Hence at least % of the values will fall between 175 and 241.
The Empirical rule, or the 68-95-99.7 rule, says that 99.7% of the values lie within 3 standard deviations of the mean, given that the values are NORMALLY distributed. Hence around 99.7% of all values would fall between 175 and 241.

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