Math Problem Statement

Professora Gomez’s Spanish literature class just took their midterm, a test with 100 possible points. The scores for all the students in the class were calculated, resulting in the following 5-number summary: 23, 67, 72, 81, 96. Based on this, would the scores be left or right-skewed?

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
5-Number Summary
Skewness
Z-scores
Standard Deviation

Formulas

Mean (μ) = (ΣX)/N
Z-score formula: Z = (X - μ) / σ
Standard deviation formula: σ = sqrt[(Σ(X - μ)²) / N]

Theorems

Empirical Rule (for standard deviations in normal distributions)

Suitable Grade Level

Grades 9-12

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