For the same continuous distribution (Example 13), calculate the standard deviation by the assumed mean method

Worked Examples · Example 14

Q. For the same continuous distribution (Example 13), calculate the standard deviation by the assumed mean method, taking the assumed mean as 40.

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With $A = 40$ : $\sum fd = 20$ , $\sum fd^2 = 11800$ , so $\sigma = \sqrt{295 - 0.25} = \sqrt{294.75} = 17.168$ .

Working table (with $d = m - A$ , $A = 40$ ).

C.I.	f	m	d = m − 40	fd	fd²
10–20	5	15	−25	−125	3125
20–30	8	25	−15	−120	1800
30–50	16	40	0	0	0
50–70	8	60	+20	160	3200
70–80	3	75	+35	105	3675

Q.For the same continuous distribution (Example 13), calculate the standard deviation by the assumed mean method, taking the assumed mean as 40.