Using the Central Limit Theorem, considering the higher sample size, the sample of 75 students, with a mean of 22.5, is a better representation.
It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
A higher sample size leads to a smaller standard error, hence the sample of 75 students, with a mean of 22.5, is a better representation.
More can be learned about the Central Limit Theorem at https://brainly.com/question/16695444
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