![]() ![]() Where x i is the i th element of the sample, x is the sample mean, n is the sample size, and is the sum of squares (SS). However, data can be collected from a sample of the students and statistical measures (including standard deviation) can be used to make inferences about the rest of the population based on the sample. For example, it may not be practical to collect weight data for all the students attending a large university. ![]() Sampling is often used in statistical experiments because in many cases, it may not be practical or even possible to collect data for an entire population. While a population represents an entire group of objects or observations, a sample is any smaller collection of said objects or observations taken from a population. A statistical population does not have to be some group of people it can consist of heights, weights, test scores, temperatures, and so on. In the context of statistics, a population is an entire group of objects or observations. A higher standard deviation indicates values that tend to be further from the mean, while a lower standard deviation indicates that the values tend to be closer to the mean. Standard deviation is a statistical measure of variability that indicates the average amount that a set of numbers deviates from their mean. Home / probability and statistics / descriptive statistics / sample standard deviation Sample standard deviationĪ sample standard deviation refers to the standard deviation of sample rather than that of a population. ![]()
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