A sample mean example is a concrete illustration of how to calculate the average of a subset of data taken from a larger population, which is used to estimate the population mean in statistics. The sample mean is denoted as x-bar and is calculated by adding all values in the sample and dividing by the number of observations. For example, suppose you want to know the average height of students in a school of 1000, but you only measure 5 students with heights 150 cm, 160 cm, 165 cm, 170 cm, and 155 cm. To find the sample mean, you add them 150 plus 160 plus 165 plus 170 plus 155 equals 800, then divide by 5, so 800 divided by 5 equals 160 cm. So the sample mean height is 160 cm, which estimates the average height of all students. Another example, test scores 80, 85, 90, 95 have sample mean 80 plus 85 plus 90 plus 95 equals 350 divided by 4 equals 87.5. Sample mean is used in confidence intervals, hypothesis testing, and research to summarize data. It can be affected by outliers, so sometimes median is also considered, but sample mean is the most common measure of central tendency for a sample.
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