What percentage lies within three standard deviations above and below the mean?

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Prepare for the Non-Systems NPTE Exam. Study with flashcards and multiple choice questions. Each question has hints and explanations to aid your understanding. Get ready for the exam with confidence!

Multiple Choice

What percentage lies within three standard deviations above and below the mean?

Explanation:
In a normal distribution, the empirical rule describes how data spread around the mean: about 68% lie within one standard deviation, about 95% within two standard deviations, and about 99.7% within three standard deviations. Therefore, the percentage within three standard deviations of the mean is roughly 99.7%, which is best represented by the 99% option given. The other choices (90%, 97%, 92%) correspond to smaller ranges and do not match the 3-sigma interval as closely.

In a normal distribution, the empirical rule describes how data spread around the mean: about 68% lie within one standard deviation, about 95% within two standard deviations, and about 99.7% within three standard deviations. Therefore, the percentage within three standard deviations of the mean is roughly 99.7%, which is best represented by the 99% option given. The other choices (90%, 97%, 92%) correspond to smaller ranges and do not match the 3-sigma interval as closely.

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