Math Problem Statement

Sales volume last weekend for a sample of ten car dealerships were as follows:

Data Point 1 2 3 4 5 6 7 8 9 10

Sales 11 34 42 23 37 19 25 31 27 40

What is the variance of the sample data?

Please round your answer to the nearest tenth.

Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Variance

Formulas

Variance formula: \( \text{Var}(X) = \frac{1}{n} \sum_{i=1}^{n} (X_i - \bar{X})^2 \)

Theorems

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Suitable Grade Level

Advanced High School to College