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The 10√x Rule: A Mathematical Deep Dive

Why the square root curve is the most balanced method for academic score adjustments.

The Math Behind the Curve

The 10√x curve is a nonlinear transformation that compresses the range while significantly boosting the lower quartile.

Calculator Math

Why it Works

Unlike a linear shift (+10 points for everyone), the square root curve rewards effort on the hardest tasks where average performance is lower.

How-To Use the Scaler

  1. Select "Root Scale (10√x)".
  2. Enter your raw test scores.
  3. Compare the "Result" column to see how many students moved from a failing grade to a pass.

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