This square root curve calculator is used to adjust raw scores and create a more balanced grade distribution using SRG = SQRT(G)*10 formula.
For example, imagine a class where the highest raw score on an exam is 80 out of 100. Using a square root curve, this score might be adjusted to 89.4, providing a more favorable outcome for the entire class while maintaining the relative performance differences between students.
Square Root Curve Calculator
| Raw Score | Percentage | Curved Score |
|---|---|---|
| 100 | 100% | 100.0 |
| 90 | 90% | 94.9 |
| 80 | 80% | 89.4 |
| 70 | 70% | 83.7 |
| 60 | 60% | 77.5 |
| 50 | 50% | 70.7 |
| 40 | 40% | 63.2 |
| 30 | 30% | 54.8 |
| 20 | 20% | 44.7 |
| 10 | 10% | 31.6 |
Square Root Curve Formula
The formula used in Square Root Curve calculations is:
SRG = SQRT(G) * 10Where:
- SRG represents the Square Root Grade (the curved score)
- SQRT is the square root function
- G is the original grade (raw score) expressed as a percentage
Suppose a student scores 64 out of 100 on an exam. To apply the square root curve:
- Convert the raw score to a percentage: 64/100 = 0.64 or 64%
- Take the square root of 64: SQRT(64) ≈ 8
- Multiply the result by 10: 8 * 10 = 80
The student’s curved grade would be 80, a significant improvement from the original 64.
How do you calculate the square root curve?
Calculating the square root curve involves a step-by-step process:
- Gather raw scores: Collect all the original grades from the assessment.
- Convert to percentages: If not already in percentage form, convert each score to a percentage.
- Apply the formula: Use the SRG = SQRT(G) * 10 formula for each score.
- Round results: Round the curved grades to the nearest whole number or decimal place, as preferred.
- Verify: Ensure that the highest curved grade does not exceed 100.
Raw score: 49/100
Percentage: 49%
SQRT(49) ≈ 7
7 * 10 = 70
Rounded curved grade: 70
This process transforms a failing grade of 49 into a passing grade of 70, demonstrating the curve’s impact on lower scores.
How to square root grade?
Here’s a detailed how to square root grade a class set:
Original Grades: 92, 85, 78, 65, 53, 40
- Apply the formula to each grade:
- 92: SQRT(92) 10 ≈ *95.9
- 85: SQRT(85) 10 ≈ *92.2
- 78: SQRT(78) 10 ≈ *88.3
- 65: SQRT(65) 10 ≈ *80.6
- 53: SQRT(53) 10 ≈ *72.8
- 40: SQRT(40) 10 ≈ *63.2
- Round the results (to one decimal place in this case): 95.9, 92.2, 88.3, 80.6, 72.8, 63.2
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