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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:

1. Calculate the mean of the data set.
2. For each data point, subtract the mean and square the result.
3. Sum the squared differences.
4. 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 .