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Square Root Grading Calculator

Square Root Grading Formula:

\[ Grade = \sqrt{\frac{Original}{Max}} \times Max \]

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1. What is Square Root Grading?

Square root grading is a method of adjusting raw scores to give more weight to lower scores while compressing higher scores. It helps mitigate the impact of very high scores while giving more recognition to lower scores.

2. How Does the Calculator Work?

The calculator uses the square root grading formula:

\[ Grade = \sqrt{\frac{Original}{Max}} \times Max \]

Where:

Explanation: The formula takes the square root of the ratio of the original score to the maximum score, then scales it back to the original grading scale.

3. Importance of Square Root Grading

Details: This grading method is particularly useful when you want to reduce grade inflation at the top end while giving more recognition to students who scored at the lower end of the scale.

4. Using the Calculator

Tips: Enter the original score and maximum possible score. Both values must be positive numbers, and the original score cannot exceed the maximum score.

5. Frequently Asked Questions (FAQ)

Q1: When should I use square root grading?
A: It's most useful when you want to compress the grading scale at the top while giving more recognition to lower scores.

Q2: Does this method favor lower-scoring students?
A: Yes, it gives proportionally more benefit to lower scores than higher ones.

Q3: Can I use this for any grading scale?
A: Yes, as long as you have a clear maximum score defined.

Q4: What are alternatives to square root grading?
A: Other options include linear scaling, curve grading, or percentile-based grading.

Q5: Does this work for negative scores?
A: No, the square root of a negative number is undefined in real numbers.

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