Nearly all the values in a sample from a normal population will lie within three standard deviations of the mean. Please see the link.
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An empirical rule indicates a probability distribution function for a variable which is based on repeated trials.
Quantitative research is empirical research that uses statistics, numerical data, and mathematics. It is used to answer problems that are not case specific and have a broader reach.
See: http://wiki.answers.com/Q/What_is_the_difference_between_Chebyshevs_inequality_and_empirical_rule_in_terms_of_skewness
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