Calculate the standard deviation of the values 5, 10, 25, 30 and 50 by the step-deviation method, taking devia

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Q. Calculate the standard deviation of the values 5, 10, 25, 30 and 50 by the step-deviation method, taking deviations from the arbitrary value 25 and dividing them by the common factor 5.

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With $A = 25$ , $c = 5$ : $\sum d' = -1$ , $\sum d'^2 = 51$ , so $\sigma = \sqrt{10.16} \times 5 = 15.937$ .

Step 1 — Deviations from the arbitrary value 25, then divided by the common factor 5.

X	d = X − 25	d′ = d ÷ 5	d′²
5	−20	−4	16
10	−15	−3	9
25	0	0	0
30	+5	+1	1
50	+25	+5	25
Total		−1	51

Step 2 — Standard deviation. …

Q.Calculate the standard deviation of the values 5, 10, 25, 30 and 50 by the step-deviation method, taking deviations from the arbitrary value 25 and dividing them by the common factor 5.