🎯 Why are Normalization Marks Calculated?
When an exam is conducted in multiple sessions, there may be differences in the difficulty level of the question papers 🧠📊. As a result, candidates with similar capabilities might end up scoring differently due to the session they appeared in.
👉 To ensure fairness and maintain a level playing field for all aspirants, a statistical method called Normalization of Marks is used. This adjusts the scores to account for any variation in difficulty between different sessions.
📐 How are Normalization Marks Calculated?
There are various methods for calculating Normalization Marks (NM). Below are two commonly used formulas:
📘 Normalization Formula 1:
NM = {(Student’s Raw Score − Lowest Marks of the Shift)/(Topper’s Marks of the Shift − Lowest Marks of the Shift)} × (Highest Score Across All Shifts − Lowest Score Across All Shifts) + Lowest Score Across All Shifts
🔍 Where:
Student’s Raw Score 🎯 = Marks obtained by the candidate in their shift
Topper’s Marks of the Shift 🏆 = Highest marks scored in that shift
Lowest Marks of the Shift 🔻 = Minimum marks in that shift
Highest Score Across All Shifts 🌟 = Top score among all shifts
Lowest Score Across All Shifts 📉 = Lowest score among all shifts
📗 Normalization Formula 2:
Xn= (S2/S1) (X-Xav) + Yav
🔍 Where:
Xₙ 🧮 = Normalized Score of the candidate
S₂ 📏 = Standard Deviation of raw marks of the Base Session
S₁ 📐 = Standard Deviation of raw marks of the Candidate’s Session
X ✍️ = Raw marks of the candidate
Xav ➗ = Average marks of the Candidate’s Session
Yav ➕ = Average marks of the Base Session
Both methods aim to eliminate the bias caused by varying paper difficulty and ensure that all candidates are judged on an equal scale. ⚖️✨
