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Learn how to calculate standard deviation step-by-step with Khan Academy's easy-to-follow guide.
The range is easy to calculate—it's the difference between the largest and smallest data points in a set. Standard deviation is the square root of the variance. Standard deviation is a measure of how spread out the data is from its mean.
Review of population and sample standard deviation, including the formula and interpretation.
Practice calculating the mean and standard deviation for the sampling distribution of a sample mean.
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Practice calculating sample standard deviation
Lesson 5: Variance and standard deviation of a sample. Sample standard deviation and bias. Variance. Sample and population standard deviation. Population and sample standard deviation review. Math > Statistics and probability > Summarizing quantitative data >
And what it tells us is we can start off with any distribution that has a well-defined mean and variance-- and if it has a well-defined variance, it has a well-defined standard deviation. And it could be a continuous distribution or a discrete one.
You take each of these data points, find their distance from the mean, square that number, add up those squared distances, divide by the number of data points if we're taking the population standard deviation, and then you, and then you, you take the square root of the whole thing.
The population standard deviation is a measure of how much variation there is among individual data points in a population. It's a way of quantifying how spread out the data is from its mean. A small standard deviation means that the data points are generally close to the mean, while a large standard deviation means that the data is more dispersed.