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

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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