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

Worked Examples · Example 8

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

Bihar BsebTextbookSubjectiveImportance★★★★★est

27% · 7/26 Questions

You're viewing a preview — the full solution, concept, methods & PYQ mapping are locked.

Mean $= 24$ , $\sum d^2 = 1270$ , so $\sigma = \sqrt{254} = 15.937$ .

Step 1 — Mean.

\bar{X} = \dfrac{5 + 10 + 25 + 30 + 50}{5} = \dfrac{120}{5} = 24

Step 2 — Deviations from the mean and their squares (with $d = X - \bar{X}$ ).

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