Math Problem Statement

variance of 0.78 2.44 7.84 6.72 1.46 2.45 2.62 3.46 2.86 0.86 1.45 9.11 0.06 1.36 5.85 7.32 0.14 7.48 7.93 1.42 0.28

Solution

The variance of the data set is approximately 8.808.80.

Would you like to see a detailed breakdown of how the variance was calculated or explore any related questions?

Here are five follow-up questions you might find useful:

  1. What is the standard deviation of this data set?
  2. How does variance differ from standard deviation?
  3. What does a high or low variance indicate in a data set?
  4. How would the variance change if an additional data point were added?
  5. What is the range of the given data set?

Tip: Variance measures the spread of your data around the mean, while the standard deviation is simply the square root of the variance.

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Math Problem Analysis

Mathematical Concepts

Statistics
Variance
Data Spread

Formulas

Variance formula: σ² = Σ(x - μ)² / N

Theorems

Properties of variance

Suitable Grade Level

Grades 10-12