Math Problem Statement

Calculate the standard deviation and variance of the sample data shown, to two decimal places

x

27.6

1.2

29.4

12

26

Standard deviation: 

Variance: 

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Variance
Standard Deviation
Sample Data

Formulas

Variance formula: σ² = Σ(xi - x̄)² / (n - 1)
Standard Deviation formula: σ = √Variance

Theorems

The concept of variance and its relationship with standard deviation

Suitable Grade Level

Grades 10-12