As a subject matter expert in mathematics and statistics, I can tell you that calculating the
sigma, which is a measure of the dispersion or variability in a set of data, typically involves the following steps:
1. Determine the Mean: Calculate the average value of the data set, which is the sum of all data points divided by the number of points.
2. Find the Deviations: For each data point, subtract the mean from the data point to find the deviation from the mean.
3. Square the Deviations: Square each deviation to remove negative values and emphasize larger deviations.
4. Sum the Squared Deviations: Add up all the squared deviations.
5. Divide by Degrees of Freedom: For a sample, the sigma (standard deviation) is calculated by dividing the sum of squared deviations by the degrees of freedom, which is typically the number of data points minus one (n - 1).
6. Take the Square Root: Finally, take the square root of the result from step 5 to find the sigma, which is the standard deviation of the data set.
Here's the process in English, followed by the translation in Chinese:
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