Ohio Assessments for Educators (OAE) Mathematics Practice Exam

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What does the 68-95-99.7 rule refer to in a normal distribution?

  1. The range of data that falls within one, two, and three standard deviations from the mean.

  2. The total count of data points in a distribution.

  3. The percentiles for a data set.

  4. The method for calculating a Z-score.

The correct answer is: The range of data that falls within one, two, and three standard deviations from the mean.

The 68-95-99.7 rule, also known as the empirical rule, describes how data is distributed in a normal distribution. According to this rule, approximately 68% of the data falls within one standard deviation from the mean, about 95% falls within two standard deviations, and around 99.7% falls within three standard deviations. This rule is a fundamental aspect of understanding the properties of normal distributions and is essential for making statistical inferences about data. Understanding this concept is crucial in fields that rely on statistical analyses, as it provides insights into the variability of data and aids in interpreting results. Knowing how much data lies within these specific ranges allows educators and students to make informed decisions based on the distribution of the data being analyzed.