Math Problem Statement
a random sample of employee salaries at a company is shown below, 80, 56, 116, 62, 68, 127, 22, 119, 79, 132, 41, 72, 72, 81, 85 find the mean find the standard deviation find the variance
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Descriptive Statistics
Measures of Central Tendency
Measures of Dispersion
Formulas
Mean: (Σx) / n
Standard Deviation (σ or s): sqrt(Σ(x - μ)² / n) for population or sqrt(Σ(x - x̄)² / (n - 1)) for sample
Variance (σ² or s²): Σ(x - μ)² / n for population or Σ(x - x̄)² / (n - 1) for sample
Theorems
Law of Large Numbers
Chebyshev's Inequality (related to variance)
Suitable Grade Level
High School (Grades 10-12) or College Introductory Statistics
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