Math Problem Statement

The final exam grade distribution for all students in the introductory statistics class at a local community college is displayed in the table, with A = 4, B = 3, C = 2, D = 1, and F = 0. Let X represent the grade for a randomly selected student from the class. What is the standard deviation of the distribution?

Solution

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Math Problem Analysis

Mathematical Concepts

Probability Distribution
Standard Deviation
Statistics

Formulas

Standard Deviation formula for a probability distribution: σ = √Σ((x - μ)^2 * P(x))

Theorems

Properties of standard deviation in a discrete probability distribution

Suitable Grade Level

College-Level Introductory Statistics

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