Final answer:
The median and mode of the student ages are both 28.5 years, which is equal to the mean. Cannot calculate the range without more data. The standard error is 0.3125 years for given sample size and standard deviation.
Step-by-step explanation:
The mean age of the students is given as 28.5 years with a standard deviation of 2.5 years. When the distribution is assumed to be normal, the median and mode would be the same as the mean, which is 28.5 years. The range of a dataset is the difference between the maximum and minimum values, but since only the mean and standard deviation are provided, we cannot calculate the range without additional data.
The standard error (SE) of the mean can be calculated using the formula SE = σ/√n, where σ is the standard deviation and n is the sample size. For a sample size of 64 students, the standard error would be 2.5 / √64 = 0.3125 years.