The Standardised Score
The standardized score is a statistical tool that allows comparison of related quantities that are normally distributed. A very good use is test scores. When a student wishes to compare their own results with everybody elses, they may stanaridize their scores to find the percentile in which they lie.
Suppose one student recorded his marks in a set of exams and collected the mean and standard deviation of all the other marks of the other students.
Score,
Standard Deviation,
The standard score is given by
For maths From tables, 72.57% of scores were lower.
For english From tables, 59.87% of scores were lower.
For physics From tables, 62.8% of scores were lower.
For chemistry From tables, 97.72% of scores were lower.
For biology From tables, 79.49% of scores were lower.
In order of decreasing performance his results were chemistry, biology, maths, physics and english.