Math Problem Statement
Solution
It seems you've uploaded an image containing a mathematical transformation formula. The content discusses the transformation of marks in terms of mean and variance, where:
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The transformation formula is given as:
Here, represents the examination marks before the transformation, and represents the marks after the transformation. -
Mean After Transformation:
The mean of the transformed marks is calculated using the linearity of expectation:
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Variance After Transformation:
The variance of the transformed marks is affected by the scaling factor, and the transformation of variance is:
Do you need help with a specific part of the transformation, or would you like to proceed with an example? Let me know if you need any further clarifications or calculations.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Transformation
Mean
Variance
Formulas
y = (1/5)x + 40
Mean_y = (1/5)Mean_x + 40
Variance_y = (1/5)^2 Variance_x
Theorems
Linearity of Expectation
Suitable Grade Level
Grades 9-12
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