Final answer:
The symbol for the sample mean is a) X (X bar). It represents the average of a sample data set, as opposed to μ (mu), which stands for population mean. The sample mean is important in the context of standard deviation and the Central Limit Theorem.
Step-by-step explanation:
The correct answer is option a) X (X bar). In statistics, the symbol X with a bar over it represents the sample mean, which is the average value of a sample data set. On the other hand, the Greek letter μ (mu) represents the population mean, which is the average value of an entire population. When calculating standard deviation, deviations are represented as x - X for sample data and x - μ for a population. The Central Limit Theorem plays a crucial role in statistics by showing that sample means will tend to follow a normal distribution as the sample size, n, increases, and the sample means tend to get closer to the population mean, μ.
he symbol x represents the sample mean, while the Greek symbol μ represents the population mean. The sample mean represents the average of a set of data points taken from a larger population, while the population mean represents the average of the entire population.