How is the sample mean represented in statistics?

Prepare for UofT's PSY201 Statistics I Midterm. Study with detailed flashcards and multiple choice questions, each complete with hints and explanations. Ace your exam!

The sample mean is represented by the symbol x̄ in statistics. This notation specifically indicates the average value calculated from a sample of data. To obtain the sample mean, you sum all the values in the sample and then divide that sum by the number of values in the sample. This representation is fundamental in descriptive statistics as it provides a measure of central tendency for the sample data.

In contrast, μ represents the population mean, which is the average of all values in an entire population rather than a subset of it. ΣX signifies the sum of all values in the dataset, but it does not convey the average or mean directly. Lastly, n refers to the sample size, indicating the number of observations in the sample. Each of these other symbols has a distinct meaning, but x̄ specifically denotes the sample mean, making it the correct answer to the question.

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