Math Problem Statement
use the defining formula to compute the sample standard deviation for this data set: 7 8 9 10 11 12 13 14 155
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Sample Standard Deviation
Variance
Formulas
Sample mean: x̄ = (Σxi) / n
Squared deviation: (xi - x̄)^2
Sample variance: s^2 = Σ(xi - x̄)^2 / (n-1)
Sample standard deviation: s = √s^2
Theorems
Definition of sample variance and standard deviation
Suitable Grade Level
High School (Grades 10-12), College-level Introductory Statistics
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