Math Problem Statement

Provide an appropriate histogram representing the distribution of class exam scores. Determine the mean and standard deviation of the class scores. Graph the Gauss-Normal distribution representing the class exam scores. Determine the standard deviation of the mean for this data.

Solution

Here are the results for the statistical analysis of the exam scores:

a) Histogram Representation

  • The histogram above shows the distribution of the class exam scores

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Math Problem Analysis

Mathematical Concepts

Descriptive Statistics
Normal Distribution
Histogram Analysis

Formulas

Mean formula: μ = ΣX/N
Standard Deviation formula: σ = √(Σ(X - μ)^2/N)
Standard Deviation of the Mean: σ_mean = σ/√N

Theorems

Central Limit Theorem

Suitable Grade Level

Grades 10-12

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