Final answer:
The correct representation of a sample's mean and standard deviation from the given options would be Option A: (1), (2), as this directly lists the sample mean and the sample standard deviation without alterations.
The correct answer is A.
Step-by-step explanation:
The statement provides a sample size (n=45), a mean (denoted by (1)), and a standard deviation (denoted by (2)). The question seems to be asking how to represent the mean and standard deviation of the sample in a statistical context. Options A to D are different combinations of the provided mean and standard deviation.
None of the provided SEO keywords seems relevant to constructing a mathematical explanation for the question asked. Therefore, we will stick to offering a general explanation based on standard statistical notations. Normally, when we talk about a sample with a given size, mean, and standard deviation, we would not alter the mean or standard deviation in expressions unless we're performing specific operations such as computing confidence intervals or other statistical measures.
The sample mean is usually denoted simply by its value (in this case (1)), and the sample standard deviation by its value (in this case (2)). Thus, the correct representation from the given options would be Option A: (1), (2), which directly lists the sample mean and the sample standard deviation as they are.