Enter marks and the minimum and maximum on the same scale to calculate a dimensionless min–max ratio, or select a missing variable to solve for.

Min–max scaling only. This does not implement an exam board’s normalization or equating method.

Related Calculators

Normalized Marks Formula

The following formula is used to calculate the normalized marks for a given set of marks.

N = ((M - Mₘᵢₙ)) / ((Mₘₐₓ - Mₘᵢₙ))

Variables:

  • N is the normalized marks
  • M is the marks obtained
  • Mmin is the minimum marks
  • Mmax is the maximum marks

To calculate the normalized marks, subtract the minimum marks from the marks obtained. Then, divide the result by the difference between the maximum marks and the minimum marks.

What are Normalized Marks?

This calculator applies linear min–max scaling. The entered minimum maps to 0 and maximum maps to 1; scores outside that range can give ratios below 0 or above 1. Maximum must exceed minimum. A common numeric scale does not by itself correct differences in exam difficulty or establish fair comparisons. Official exam normalization and equating methods may use other data and formulas.

How to Calculate Normalized Marks?

The following steps outline how to calculate the Normalized Marks.

  1. First, determine the marks obtained (M).
  2. Next, determine the minimum marks (Mmin).
  3. Next, determine the maximum marks (Mmax).
  4. Finally, calculate the normalized marks using the formula N = (M – Mmin) / (Mmax – Mmin).
  5. After inserting the values and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

Marks Obtained (M) = 75

Minimum Marks (Mmin) = 50

Maximum Marks (Mmax) = 100