Find s from the definition given by Eq. (22.2), as in Example 1.

Data from Example 1

Find the standard deviation of the following numbers: 1, 5, 4, 2, 6, 2, 1, 1, 5, 3. A table of the necessary values is shown below, and steps 1–6 are indicated:

Eq. 22.2

X 1542 62 2 -1 3 -1 1 1 step 2 step 3 x-x(x - x) 4 4 1 1 3 30 -2 2 1 ONNAL -2 -2 9 1 4 4 32 step 4 k || = (x - x) n - 1 S = 30 10 = 32 = 3 32 10 = 1.9 = 32 step 1 step 5 step 6