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S-ID.4 Warmup M3-053-A03-V04

Use mean and standard deviation to fit normal distributions and estimate population percentages with technology.

Estimate the percent within 1, 2, or 3 standard deviations of the mean using the empirical rule

Problem

A data set is modeled by a normal distribution. Using the empirical rule, about what percent of the data would you expect to fall between \(1~\text{standard}~\text{deviation}\) below the mean and \(1~\text{standard}~\text{deviation}\) above the mean?

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Four variants of this problem type
Curriculum context
Course
Math III
Standard
S-ID.4
Category
Statistics and Probability
Domain
Interpreting Categorical and Quantitative Data
Objective
Use mean and standard deviation to fit normal distributions and estimate population percentages with technology.
Problem type
Estimate the percent within 1, 2, or 3 standard deviations of the mean using the empirical rule