The empirical rule, also known as the three-sigma rule or the 68-95-99.7 rule. The Empirical Rule Calculator helps you find the 68-95-99.7 Rule for the given set of data.

The empirical rule, also known as the three-sigma rule or the 68-95-99.7 rule. The Empirical Rule Calculator helps you find the 68-95-99.7 Rule for the given set of data.

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1. At 68 % the rule is,

= (Mean - std) and (Mean + std)

2. At 95% the rule is,

= (Mean - 2 × std) and (Mean + 2 × std)

3. At 97.7% the rule is,

= (Mean - 3 × std) and (Mean + 3 × std)

Empirical rule is the statistical rule for a normal distribution determined with the mean and the standard deviation. It is the statistical rule stating that for a normal distribution, where most of the data will fall within three standard deviations of the mean. The empirical rule can be broken down into three parts: 68% of data falls within the first standard deviation from the mean. 95% fall within the 2nd standard deviations. 99.7% fall within third standard deviation. You can enter any set of numbers separated by comma in this **Empirical Rule Calculator**, and you could see the results such as mean, standard deviation, empirical rule at 68%, 95% and 97.7%. Hence the empirical rule is known as 68-95-99.7 rule.

Find the empirical rule for a set of data 12, 65, 23, 74

**Mean = Sum of X values / N (Number of values) **

= (12+65+23+74) / 4

= 174 / 4

= 43.5

The standard deviation is 30.6

Using the mean and standard deviation,

68 % data falls between 12.9 and 74.1

95 % of the values fall between -17.7 and 104.7

97.7 % of the values fall between -48.3 and 135.3