99.73 % is the percentage that is within 3 standard deviations of the mean.
what percentage is within 3 standard deviations of the mean?
99.73 %
68–95–99.7 rule





























in statistics, the 68–95–99.7 rule, also known as the empirical 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.
68–95–99.7 rule
section::::finite samples.:univariate case.:samuelson's inequality.





























although chebyshev's inequality is the best possible bound for an arbitrary distribution, this is not necessarily true for finite samples. samuelson's inequality states that all values of a sample will lie within standard deviations of the mean. chebyshev's bound improves as the sample size increases.





























when "n" = 10, samuelson's inequality states that all members of the sample lie within 3 standard deviations of the mean: in contrast chebyshev's states that 99.5% of the sample lies within 13.5789 standard deviations of the mean.
chebyshev's inequality