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In statistics, the term “Syy” typically refers to the sample variance of a set of data. The sample variance is a measure of the spread or dispersion of the data. It is calculated as follows:

- Calculate the mean of the data set.
- For each data point, subtract the mean and square the result.
- Sum the squared differences.
- Divide the sum by the number of data points minus 1.

Here’s an example of how to calculate the sample variance using the Sxx formula:

- Suppose we have a data set containing the following five numbers: 2, 4, 6, 8, 10.
- Calculate the mean of the data set: (2 + 4 + 6 + 8 + 10) / 5 = 6
- For each data point, subtract the mean and square the result: (2 – 6)^2 = 16, (4 – 6)^2 = 4, (6 – 6)^2 = 0, (8 – 6)^2 = 4, (10 – 6)^2 = 16
- Sum the squared differences: 16 + 4 + 0 + 4 + 16 = 40

So, the sample variance of this data set is 40 .