Math Problem Statement
suppose a normally distributed set of data with 5500 observations has a mean of 197 and a standard deviation of 17 use the 68-95-99.7 rule to determine the number of observations in the data set expected to above a value of 163 round your answer to the nearest whole value
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Normal Distribution
Z-Score
Empirical Rule (68-95-99.7 Rule)
Formulas
Z-Score Formula: z = (x - μ) / σ
Empirical Rule: 68% of data within 1σ, 95% within 2σ, 99.7% within 3σ
Theorems
Empirical Rule
Normal Distribution Properties
Suitable Grade Level
Grades 10-12
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