document.write( "Question 1203024: What percentage of the area under the normal curve lies
\n" ); document.write( "to the right of µ?
\n" ); document.write( "between µ - 2σ and µ + 2σ?
\n" ); document.write( "to the right of µ + 3σ?
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Algebra.Com's Answer #838247 by Theo(13342)\"\" \"About 
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thee are general guideline for this.
\n" ); document.write( "there is also more detailed values based on a normal distribution calculator.
\n" ); document.write( "the general guidelines are referenced below.
\n" ); document.write( "https://www.varsitytutors.com/hotmath/hotmath_help/topics/normal-distribution-of-data
\n" ); document.write( "they state:
\n" ); document.write( "68% area between plus or minus 1 standard deviation from the mean.
\n" ); document.write( "95% area between plus or minus 2 standard deviations from the mean.
\n" ); document.write( "99.7% area between plus or minus 3 standard deviations from the mean.
\n" ); document.write( "the reference shows you how tht looks.
\n" ); document.write( "the more detailed percentages are obtained from a normal distribution calculator, such as the one at https://davidmlane.com/hyperstat/z_table.html
\n" ); document.write( "here's what the results look like.\r
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\n" ); document.write( "\n" ); document.write( "when you're dealing with z-scores, the z-score for the mean is equal to 0 and the standard devkation is equal to 1.\r
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\n" ); document.write( "\n" ); document.write( "z-score for the mean is 0.
\n" ); document.write( "z-score for 1 standard deviation from the mean is plus or minus 1.
\n" ); document.write( "z-score for 2 standard deviations from the mean is plus or minus 2.
\n" ); document.write( "z-score for 3 standad deviations from the men is plus or minus 3.
\n" ); document.write( "area to the right of a z-score is equal to 1 minus the area to the left of that z-score.
\n" ); document.write( "area to the left of a z-score is equal to 1 minus the area to the right of that z-score.
\n" ); document.write( "in a normal distribution, the mean and the mode and the median are all at the center of the distribution.
\n" ); document.write( "the mena is the average of all the data in the distribution.
\n" ); document.write( "the mode is the value that occurs most frequently in the distribution.
\n" ); document.write( "the median is the point in the distribution where 50% of the data lies below that value and 50% lies above that value.
\n" ); document.write( "the normal distriution is symmetric about the mean.\r
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