The empirical rule, also known as the 68-95-99.7 rule, is a statistical guideline that states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations, and roughly 99.7% falls within three standard deviations.
Imagine you are at a school dance where everyone's height is recorded. The empirical rule tells us that about 68% of students will have heights within one inch of the average height, around 95% will have heights within two inches, and almost all students (99.7%) will have heights within three inches.
Z Scores: Z scores measure how many standard deviations an individual data point is from the mean in a normal distribution.
Point Estimate: A point estimate is a single value used to estimate an unknown population parameter based on sample data.
Standard Deviation: The standard deviation measures the amount of variation or dispersion in a set of values.
AP Statistics - 1.10 The Normal Distribution
AP Statistics - 5.2 The Normal Distribution, Revisited
AP Statistics - 6.2 Constructing a Confidence Interval for a Population Proportion
AP Statistics - 6.6 Concluding a Test for a Population Proportion
AP Statistics - 6.11 Carrying Out a Test for the Difference of Two Population Proportions
AP Statistics - 7.2 Constructing a Confidence Interval for a Population Mean
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