Question

The empirical rule states that, for data having a bell-shaped distribution, the portion of data values being within one standard deviation of the mean is approximately _____.

Answer 1

The empirical rule states that, for data having a bell-shaped distribution, the portion of data values being within one standard deviation of the mean is approximately 95 percentage.

What is empirical rule?

• The 68-95-99.7 rule, also known as the empirical rule.
• It indicates where most of the values in a normal distribution are distributed.
• The majority of values about 68% fall within the range of the mean.
• The average value is within two standard deviations for about 95% of the data.
• Almost all values, 99.7% of them, fall within a 3 standard deviation range.
• According to the empirical rule, a statistical principle, practically all of the data for normally distributed samples will lie within three standard deviations of the mean.
• Due to the fact that the empirical nature of the rule, it is occasionally referred to as the Empirical Rule.
• Most data distributions fall under the Normal/Gaussian category.
• The standard deviations of each measurement are calculated as departures from the mean and are presented.

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