Curriculum
Statistics — Third Secondary
Unit 1: Correlation and Regression
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Unit 2: Advanced Statistical Measures
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Unit 3: Probability
0/2
Unit 4: Random Variables
0/4
Unit 5: The Normal Distribution
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Text lesson
Advanced Measures of Dispersion
Advanced Measures of Dispersion
Lesson summary
Lesson summary
- Range = largest value − smallest value.
- Variance σ² = Σ(x − x̄)² ÷ n, and standard deviation σ = √σ².
- For a frequency table σ² = Σ(f × (x − x̄)²) ÷ Σf, and class midpoints are used in place of the values.
- Coefficient of variation = (σ ÷ x̄) × 100%, used for relative comparison.
- Adding a constant changes the mean but not σ. Multiplying the values by k multiplies σ by |k|.
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