Math Problem Statement

find the variance of these numbers. 0.18, 2.5, 11.7, 0.34, 5.86, 5.86, 345.22, 2.5, 11.7, 0.34, 11.7, 5.86, 0.34, 43.3, 0.34, 0.18, 2.02, 11.7, 11.7, 2.02, 20.98, 2.5, 2.02, 2.02, 0.18, 2.5, 6.66, 11.7, 11.7, 5.86, 0.18

Solution

The variance of the given numbers is approximately 3651.92.

Would you like a detailed explanation on how this variance was calculated?

Here are 5 related questions for further exploration:

  1. What is the difference between variance and standard deviation?
  2. How would removing the extreme value (345.22) affect the variance?
  3. Can you calculate the standard deviation from the variance?
  4. What is the significance of high or low variance in a data set?
  5. How does variance relate to statistical distributions?

Tip: Variance gives you a sense of how spread out the data points are from the mean, but it’s sensitive to outliers.

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Math Problem Analysis

Mathematical Concepts

Statistics
Variance
Mean
Standard Deviation

Formulas

Variance = Σ((x - mean)^2) / N

Theorems

Properties of variance
Relationship between variance and standard deviation

Suitable Grade Level

Grades 9-12

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