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What rule is used to determine if a categorical variable is approximately normally distributed?

What rule is used to determine if a categorical variable is approximately normally distributed?
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Answer #1

The empirical rule is used to determine if a categorical variable is approximately normally distributed.

The empirical rule follows three-sigma rule i.e. 68-95-99.7 rule which provides a quick estimate of the spread of data in a normal distribution for the given the mean and standard deviation. According to empirical rule:

68% of the data will fall within one standard deviation of the mean.

95% of the data will fall within two standard deviations of the mean.

99.7% of the data will fall within three standard deviations of the mean.

34% | 34% 13.5% 13.5% 2.4% 2.4% 68% 95%

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