If a particular batch of data is approximately normally distributed, we would find that approximately A) 2 of every 3 observations would fall between _±1 standard deviation around the mean. B) 4 of every 5 observations would fall between _±1.28 standard deviations around the mean. C) 19 of every 20 observations would fall between _±2 standard deviations around the mean. D) All of the above.

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Quizplus · Accepted Answer

The empirical rule, also known as the 68-95-99.7 rule, states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

If a Particular Batch of Data Is Approximately Normally Distributed