Map a raw exam score linearly from one range onto a published scale.
| Scaled | – |
Use this calculator to rescale a raw mark onto a different band, for example mapping a class range onto 50–100. Enter the score, the low and high ends of the raw range, and the low and high ends of the published scale.
The mapping is linear: scaled = outMin + (raw − rawMin) / (rawMax − rawMin) × (outMax − outMin). A raw 62 in a 40–88 band mapped onto 50–100 becomes about 72.9. Scores outside the raw band extrapolate; they are not clipped.
This is a linear stretch, not a bell-curve rank, z-score, or letter-grade table. Raw min and max must not be equal.
Raw score: The mark to map.
Raw min: Low end of the original range.
Raw max: High end of the original range.
Scaled min: Low end of the published scale.
Scaled max: High end of the published scale.
Scaled: The mapped score.
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