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Percentage to CGPA Formula

Mathematics & Education
$$\text{CGPA} = \frac{\text{Percentage (\%)}}{9.5}$$

The Percentage to CGPA conversion formula converts overall percentage marks into an equivalent Cumulative Grade Point Average (CGPA) on a 10-point scale for CBSE, AICTE, VTU, DU, and international 4.0 GPA scales.

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Ratio & Proportion Formula

Mathematics & Education
$$\text{Share}_A = \text{Total} \times \left(\frac{A}{A + B + C}\right)$$

Ratio and proportion formulas divide a total quantity into proportional parts based on specified ratio terms or test equality between two fractions (a/b = c/d).

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Semester Grade Point Average (SGPA) Formula

Mathematics & Education
$$\text{SGPA} = \frac{\sum_{i=1}^{n} (C_i \times G_i)}{\sum_{i=1}^{n} C_i}$$

Semester Grade Point Average (SGPA) measures student performance for a single academic semester by weighting letter grade points by subject credit hours.

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Standard Deviation & Variance Formula

Mathematics & Education
$$\sigma = \sqrt{\frac{\sum (x_i - \mu)^2}{N}}, \quad s = \sqrt{\frac{\sum (x_i - \bar{x})^2}{n - 1}}$$ me

Standard deviation measures the dispersion or spread of data points relative to their mean average. A low standard deviation indicates values cluster close to the mean.

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Statistical Mode Formula

Mathematics & Education
$$\text{Mode} = L + \left[ \frac{f_1 - f_0}{2f_1 - f_0 - f_2} \right] \times h$$

The mode represents the specific value or continuous frequency peak that appears with the highest frequency in a statistical distribution.

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Statistical Range Formula

Mathematics & Education
$$\text{Range} = x_{\max} - x_{\min}$$

The statistical range formula measures total dispersion by calculating the numerical distance between the highest and lowest values in a distribution.

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