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Questions and Answers
ما هو المقصود بالانحراف في البيانات؟
ما هو المقصود بالانحراف في البيانات؟
كيف يحسب الانحراف للسكان؟
كيف يحسب الانحراف للسكان؟
ما هي الخاصية الأساسية للاانحراف؟
ما هي الخاصية الأساسية للاانحراف؟
ما هو معنى الانحراف الصغير؟
ما هو معنى الانحراف الصغير؟
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ما هو تأثير القيم الشاذة على الانحراف؟
ما هو تأثير القيم الشاذة على الانحراف؟
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ما هو تفسير الانحراف في البيانات؟
ما هو تفسير الانحراف في البيانات؟
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Study Notes
Variance
Definition
- Variance is a measure of the spread or dispersion of a set of data from its mean value
- It represents how much the individual data points deviate from the mean
Calculation
- Population variance (σ²): (Σ(xi - μ)²) / N
- xi: individual data points
- μ: population mean
- N: total number of data points
- Sample variance (s²): (Σ(xi - x̄)²) / (n - 1)
- xi: individual data points
- x̄: sample mean
- n: number of data points in the sample
Properties
- Variance is always non-negative (≥ 0)
- A small variance indicates that the data points are close to the mean
- A large variance indicates that the data points are spread out from the mean
- Variance is sensitive to extreme values in the data (outliers)
Interpretation
- Variance is a measure of the average of the squared differences between individual data points and the mean
- A small variance suggests that the data is relatively consistent and predictable
- A large variance suggests that the data is more spread out and less predictable
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Description
Test your understanding of variance, a measure of the spread or dispersion of a set of data from its mean value, including its definition, calculation, properties, and interpretation.
