Calculate the standard deviation of the values 5, 10, 25, 30 and 50 by the direct method.

Worked Examples · Example 10

Q. Calculate the standard deviation of the values 5, 10, 25, 30 and 50 by the direct method.

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$\sum X^2 = 4150$ , mean $= 24$ , so $\sigma = \sqrt{830 - 576} = \sqrt{254} = 15.937$ .

Step 1 — Squares of the values.

Q.Calculate the standard deviation of the values 5, 10, 25, 30 and 50 by the direct method.