Math Problem Statement

It is a given that Siggi, who has been practicing darts for a long time, scores 97.3% of the time. His average is 0 cm. What is the standard deviation for Sigga?

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Standard Deviation
Probability

Formulas

Standard Deviation formula: σ = sqrt( Σ(x - μ)^2 / N )
Z-score formula for probability: Z = (X - μ) / σ

Theorems

68-95-99.7 Rule (Empirical Rule)
Normal Distribution Theorem

Suitable Grade Level

Grades 10-12