Standard deviation percentages in normal distribution
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In statistics, the 68–95–99.7 rule is a
shorthand used to remember the
percentage of values that lie within a band
around the mean in a normal distribution
with a width of two, four and six standard
deviations, respectively; more accurately,
68.27%, 95.45% and 99.73% of the values
lie within one, two and three standard
deviations of the mean, respectively. In
mathematical notation, these facts can be
expressed as follows, where X is an
observation from a normally distributed
random variable , μ is the mean of the
distribution, and σ is its standard
deviation:
In statistics, the 68–95–99.7 rule is a
shorthand used to remember the
percentage of values that lie within a band
around the mean in a normal distribution
with a width of two, four and six standard
deviations, respectively; more accurately,
68.27%, 95.45% and 99.73% of the values
lie within one, two and three standard
deviations of the mean, respectively. In
mathematical notation, these facts can be
expressed as follows, where X is an
observation from a normally distributed
random variable , μ is the mean of the
distribution, and σ is its standard
deviation:
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