Calculate the mean for the following table using step deviation method.

11

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12

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13

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14

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Solution

The correct option is D $12$
Answer:- By shortcut Method
Class interval width (i) = $5 - 2 = 3$

Age
No. of children
F Mid Value
(X) $u = \frac{X - A}{i}$ Fu
2-5 1 3.5 -1 -1
5-8 2 6.5 = A 0 0
8-11 3 9.5 1 3
11-14 4 12.5 2 8
14-17 5 15.5 3 15
$Σ F = 15$ $Σ F u = 25$
By step deviation method
Mean = $A + \frac{Σ f u}{Σ f} \times i = 6.5 + \frac{25}{15} \times 3 = 6.5 + 5 = 11.5 ≃ 12$
B) 12

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Age	No. of children F	Mid Value (X)	$u = \frac{X - A}{i}$	Fu
2-5	1	3.5	-1	-1
5-8	2	6.5 = A	0	0
8-11	3	9.5	1	3
11-14	4	12.5	2	8
14-17	5	15.5	3	15
	$Σ F = 15$			$Σ F u = 25$