Mean = 12

Standard Deviation = 5.8737

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CALCULATE

CALCULATE

** Empirical rule calculator** - a statistics tool also known as 68-95-99.7 rule, or three sigma (3σ) rule calculator to determine the percentage of values around the mean for the standard deviation width of 1σ, 2σ & 3σ to analyse the normally distributed (bell shaped curve) statistical data. The term 68-95-99.7 in normal distribution represents 68.27%, 95.45% and 99.73% of data around the mean for the width of 1σ, 2σ & 3σ respectively.

The Empirical Rule is applicable to the bell shaped curve or normally distributed data. The range of the data fall from the mean can vary from 1 to 3 standard deviations or fall within plus or minus 3 standard deviations. The Empirical Rule for normal distribution or bell shaped curve defines that 68% of the observations roughly expected to fall within 1σ of the mean, 95% of the observations expected to fall within 1σ of the mean and 99.73% of the data values can be expected fall within 1σ interval from the mean. To mention it more accurately 68.27%, 95.45% and 99.73% of data fall around the mean for the width of 1σ, 2σ & 3σ respectively.

In statistical data analysis, when working along with