The grade point average of the students at BLK is 2.80 with a standard deviation of 0.84. The grade point average of students at SJK is 2.4 with a standard deviation of 0.84. Which university shows a more dispersed grade distribution? Explain you reasoning with statistical evidence.
Solution :
Given that , For BLK , = 2.8 and = 0.84
and for SJK , = 2.4, = 0.84
We will compute Coefficient of variation to check the dispersion.
CV for BLK is,
BLK's coefficient of variation is 30% .
CV for SJ/K is,
SJK's coefficient of variation is 35% .
SJK's coefficient of variation = 35%. BLK's coefficient of variation = 30%. Therefore, SJK has a more dispersed grade distribution.
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