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Normalized Percentage Formula:
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Normalized percentage is a method of scaling marks to a standard range, typically 0-100%, regardless of the original scoring scale. It allows for fair comparison of scores from different tests or evaluation systems with varying maximum and minimum possible scores.
The calculator uses the normalized percentage formula:
Where:
Explanation: This formula linearly transforms the original score to a percentage scale where the minimum score becomes 0% and the maximum score becomes 100%.
Details: Normalized percentage is crucial for comparing performance across different tests, exams, or evaluation systems that have different scoring ranges. It's commonly used in educational institutions, competitive exams, and performance assessments to ensure fair comparison.
Tips: Enter the marks obtained, the minimum possible score, and the maximum possible score. All values must be valid (Max > Min, and Marks between Min and Max).
Q1: When should I use normalized percentage?
A: Use it when you need to compare scores from different tests or evaluation systems that have different maximum and minimum possible scores.
Q2: What's the difference between percentage and normalized percentage?
A: Regular percentage is (obtained marks/maximum marks)×100, while normalized percentage adjusts for both minimum and maximum possible scores.
Q3: Can normalized percentage be more than 100%?
A: No, the formula ensures the result is always between 0% and 100% when the input marks are between the specified min and max values.
Q4: What if my test has negative marking?
A: If your test has negative marking, set the minimum value to the lowest possible score (which could be negative), and the calculator will work correctly.
Q5: Is normalized percentage used in standardized testing?
A: Yes, many standardized tests and educational systems use normalized scoring to ensure fair comparison across different test versions or years.