Cryptocurrency Q&A
How to work out variance maths a level?
How to work out variance maths a level?
CrystalPulse
Thu Dec 12 2024
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5 answers
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I'm trying to understand how to calculate variance in mathematics, specifically at the A-Level curriculum. I need a step-by-step guide on how to work out variance.
5 answers
CherryBlossomDance
Sat Dec 14 2024
The variance of X, denoted as Var[X], provides a measure of how much the values of X deviate from its mean μ.
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charlotte_anderson_explorer
Sat Dec 14 2024
One method to compute Var[X] involves integrating over the entire sample space S. Specifically, we integrate the product of f(x) and the squared deviation of x from μ, i.e., ∫x∈Sf(x)⋅(x−μ)2dx.
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CherryBlossomBloom
Sat Dec 14 2024
Alternatively, Var[X] can be derived using another integral expression. We first integrate f(x) multiplied by x squared over S, giving us ∫x∈S(f(x)⋅x2)dx.
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CryptoEmpireGuard
Sat Dec 14 2024
Subsequently, we subtract the square of the mean μ from the result obtained in the previous step. This subtraction accounts for the centering of the distribution around its mean.
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alexander_clark_designer
Sat Dec 14 2024
For a continuous random variable X defined over a sample space S, we utilize a probability density function f(x) to describe its behavior.
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