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1. 5, 5, 5, 5

   4 values.

2. \bar{x} = \frac{5 + 5 + 5 + 5}{4} = \frac{20}{4} = 5

   Mean: add them up and divide by how many there are.

3. (5 - 5)^2 = 0 ,\; (5 - 5)^2 = 0 ,\; (5 - 5)^2 = 0 ,\; (5 - 5)^2 = 0

   Squared deviations from the mean.

4. \sigma^2 = \frac{\sum (x_i - \bar x)^2}{n} = 0

   Population variance (divide by n).

5. s^2 = \frac{\sum (x_i - \bar x)^2}{n - 1} = 0

   Sample variance (divide by n − 1).

6. \sigma = \sqrt{0} = 0,\quad s = 0

   Standard deviation is the square root of the variance.