SOLUTION: A particular sample contains 50 data values. According to Chebyshev's theorem, which of the following is the number of values you would expect to fall within 3.0 standard deviation

Question 468869: A particular sample contains 50 data values. According to Chebyshev's theorem, which of the following is the number of values you would expect to fall within 3.0 standard deviations of the mean? A. 5, B. 25, C. 35, D. 45. Can you please show the steps to achieving this answer?
Answer by kingme18(98) (Show Source): You can put this solution on YOUR website!
Chebyshev's theorem says that at least values will fall within "k" standard deviations of the mean. For you, that's 3 standard deviations. The fraction that should fall within 3 standard deviations is therefore . Since we think that 8/9 of the 50 values should fall within 3 standard deviations, we'll multiply: , or about 45 values.
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