Calculate Square Root Curve Online
Free online tool to adjust grades with the square root curve formula. Real-time calculations for fair score adjustments.
Free Square Root Curve Calculator
Adjust grades instantly with real-time calculations
Curved Score Result
Based on your original score of 75
What is Square Root Curve?
The square root curve is a mathematical method used by educators to adjust student scores in a way that benefits lower-performing students more than higher-performing ones. This technique applies a square root transformation to raw scores to create a more balanced distribution.
Fair Adjustments
Provides more significant boosts to lower scores while maintaining differentiation between high performers.
Educator Friendly
Simple formula that can be applied quickly without complex statistical analysis.
Intuitive Concept
Based on fundamental mathematical principles that are easy to understand and explain.
Square Root Curve Visualization
The chart below shows how the square root curve transforms original scores into adjusted scores. The curve has a more significant impact on lower scores and less impact as scores approach perfection.
How To Use
Understanding the mathematics behind the square root curve helps educators apply it effectively. Here's a step-by-step explanation:
Step 1: Understand the Formula
The basic formula for a 100-point scale is:
Step 2: Calculate for Different Scores
For a score of 64:
For a score of 25:
Step 3: Using Excel
To apply the square root curve in Excel, use this formula:
Where A1 contains the original score. For non-100 point scales:
Where A1 is original score and B1 is maximum score.
Frequently Asked Questions
A square root curve is a method of adjusting scores by applying the square root function to the original score and multiplying by a factor (usually 10). This transformation boosts lower scores more than higher ones.
Educators use square root curves to adjust for difficult tests while maintaining score differentiation. It gives more help to struggling students while still rewarding higher performers.
Use the formula =10*SQRT(A1) where A1 contains the original score. For non-100 point scales: =(10*SQRT((A1/B1)*100))/100*B1 where A1 is original score and B1 is max score.
Yes! Our calculator handles any maximum score. Simply enter the original score and the maximum possible score for that test.
To define a curve using two points, calculate the curve factor. If you know the original and desired curved score for one student, solve for k: curved = k × √original. Then use that k for other scores.
10 is standard for 100-point scales. Adjust this factor to control how aggressive the curve is. Higher factors create more dramatic adjustments.
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Created by Sadiq Saleem | Reviewed by Team TheEducationistHub