Enter the percentage grade (either as a number, decimal, or fraction) to calculate its square root curve grade with the given tool.
The square root curve calculator calculates the curved score based on the percentage score entered. It adjusts raw scores or grades using the square root function to create a more equitable grade distribution. Additionally, you can also get step-wise calculations to understand the solution.
Using our grade curve calculator is easy!
Our calculator can be a handy tool in different scenarios, some of which include:
In this field, our calculator can be helpful in certain applications like:
A square root curve is a non-linear scaling method that is used to adjust the raw scores or grades. This method uses the square root curve function to produce a new set of curved scores, particularly followed by linear scaling. This method is often used when scores are too low or unevenly spread.
Here is the basic formula:
\(\begin{align*} SRG &= \sqrt{G} \times 10 \end{align*}\)
Where,
Suppose, if a student receives a score of 72 (G) on a test. What is the student's square root curved grade?
Formula:
\(\begin{align*} SRG &= \sqrt{G} \times 10 \end{align*}\)
Step 1: Calculate The Square Root
√(72) = 8.4852
Step 2: Multiply it by 10
8.4852 × 10 = 84.852
Step 3: Round The Curved Grade To The Nearest Whole Number
84.852 ≈ 85
Therefore, the student's sqrt curve grade is 85%.
Multiplying the square root value by 10 results back into the standard 0-100 grading scale, which makes the adjusted scores more understandable and practical.
No, the entered percentage value must not be equal to or less than zero “0”.
Linear curves apply a fixed increase. Unlikely, the square root curve boosts lower scores more than the higher ones, which makes them nonlinear. This helps reduce performance gaps but may not be ideal for uniform adjustments.
Yes, it helps normalize skewed data and reduce variability which makes it useful in grading and analytics. However, it may not handle negative or zero values well and requires computational efficiency for very large datasets.
Number | (G)SRG Value | Number | (G)SRG Value |
---|---|---|---|
1 | 10.00 | 51 | 71.41 |
2 | 14.14 | 52 | 72.11 |
3 | 17.32 | 53 | 72.80 |
4 | 20.00 | 54 | 73.48 |
5 | 22.36 | 55 | 74.16 |
6 | 24.49 | 56 | 74.83 |
7 | 26.46 | 57 | 75.50 |
8 | 28.28 | 58 | 76.16 |
9 | 30.00 | 59 | 76.81 |
10 | 31.62 | 60 | 77.46 |
11 | 33.17 | 61 | 78.10 |
12 | 34.64 | 62 | 78.74 |
13 | 36.08 | 63 | 79.37 |
14 | 37.42 | 64 | 80.00 |
15 | 38.73 | 65 | 80.62 |
16 | 40.00 | 66 | 81.24 |
17 | 41.23 | 67 | 81.85 |
18 | 42.43 | 68 | 82.46 |
19 | 43.59 | 69 | 83.07 |
20 | 44.72 | 70 | 83.67 |
21 | 45.83 | 71 | 84.26 |
22 | 46.90 | 72 | 84.85 |
23 | 47.96 | 73 | 85.44 |
24 | 48.99 | 74 | 86.02 |
25 | 50.00 | 75 | 86.60 |
26 | 50.99 | 76 | 87.17 |
27 | 51.96 | 77 | 87.75 |
28 | 52.91 | 78 | 88.31 |
29 | 53.85 | 79 | 88.88 |
30 | 54.77 | 80 | 89.44 |
31 | 55.68 | 81 | 90.00 |
32 | 56.57 | 82 | 90.55 |
33 | 57.45 | 83 | 91.10 |
34 | 58.31 | 84 | 91.65 |
35 | 59.16 | 85 | 92.20 |
36 | 60.00 | 86 | 92.74 |
37 | 60.83 | 87 | 93.27 |
38 | 61.64 | 88 | 93.81 |
39 | 62.45 | 89 | 94.34 |
40 | 63.25 | 90 | 94.87 |
41 | 64.03 | 91 | 95.39 |
42 | 64.81 | 92 | 95.92 |
43 | 65.57 | 93 | 96.44 |
44 | 66.33 | 94 | 96.95 |
45 | 67.08 | 95 | 97.47 |
46 | 67.82 | 96 | 97.98 |
47 | 68.56 | 97 | 98.49 |
48 | 69.28 | 98 | 98.99 |
49 | 70.00 | 99 | 99.50 |
50 | 70.71 | 100 | 100.00 |
Percentage Grade (G) | SRG Value |
---|---|
28/40 (70%) | 83.67 |
19/30 (63.33%) | 79.71 |
44/50 (88%) | 93.81 |
26/35 (74.29%) | 86.23 |
25/40 (62.5%) | 79.06 |
20/25 (80%) | 89.44 |
26/32 (81.25%) | 90.09 |
35/45 (77.78%) | 88.17 |
28/50 (56%) | 74.83 |
26/30 (86.67%) | 93.07 |
46/60 (76.67%) | 87.75 |
23/30 (76.67%) | 87.75 |
33/45 (73.33%) | 85.57 |
30/40 (75%) | 86.60 |
38/50 (76%) | 87.15 |
34/40 (85%) | 92.20 |
17/26 (65.38%) | 80.92 |
14/16 (87.5%) | 93.48 |
7/11 (63.64%) | 79.96 |
Mr. Ah With a Bee, n.d. Square Root Curve: Graphing and Real-World Applications. [online] Available at: https://mrahwithabee.com/square-root-curve-graphing-and-real-world-applications/
AnalyzeMath.com, n.d. Graphing Square Root Functions. [online] Available at: https://www.analyzemath.com/Graphing/graphing_square_root_func.html
GeeksforGeeks, 2024. Real-life Applications of Square Root. [online] Available at: https://www.geeksforgeeks.org/real-life-applications-of-square-root/
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