document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #321745 by kingme18(98) $\"\"$ $\"About$

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Chebyshev's theorem says that at least $\"+1+-+1%2Fk%5E2+\"$ 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 $\"+1+-+1%2F3%5E2+=+1-1%2F9+=+8%2F9+\"$ . Since we think that 8/9 of the 50 values should fall within 3 standard deviations, we'll multiply: $\"+50+%2A+%288%2F9%29+=+44.44\"$ , or about 45 values. \n" ); document.write( "

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