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) About Me  (Show Source):
You can put this solution on YOUR website!
Chebyshev's Theorem states that P%28abs%28X+-+mu%29+%3C+k%2Asigma%29+%3E=+1+-+1%2Fk%5E2
mu+=+208 and sigma+=+11 ==> . Hence at least %288%2F9%29%2A100+=+88.89% 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.