document.write( "Question 472558: If the mean of a normal distribution is 25, and the standard deviation is 1, it is highly unlikely that a value in the data is 24.
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Algebra.Com's Answer #323970 by solver91311(24713) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "It depends. What sort of data are we talking about? If the data is discrete integer counts, then roughly 25% of your data with the mean and standard deviation parameters given is 24. But if it is measurement data, then out of several Monte Carlo trials of 5000 random numbers normally distributed around 25 with a standard deviation of 1, I obtained zero instances of a data point that was within 6 decimal places of 24. On the other hand, if you consider a measurement stated as 24 somethings (without a decimal fraction specification) you are really only guaranteeing that the measurement is in the range

. Using that criteria, the count is back up to roughly 25%.\r
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\n" ); document.write( "My calculator said it, I believe it, that settles it
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