Please give answer

Dear Student,

Please find below the solution to the asked query:

We form table for mean by step deviation method :
 

Wage Rate	Wage Rate	Mid point ( xi )	No. of Workers ( f i)	ui = $\frac{x_{\mathrm{i}} - a}{h}$ Here h  = 10	fi ui
Less than 10	0 - 10	5	3	- 4	- 12
Less than 20	10 - 20	15	10 - 3 = 7	- 3	- 21
Less than 30	20 - 30	25	18 - 10 = 8	- 2	- 16
Less than 40	30 - 40	35	30 - 18 = 12	- 1	- 12
Less than 50	40 - 50	45 = a	39 - 30 = 9	0	0
Less than 60	50 - 60	55	45 - 39 = 6	1	6
Less than 70	60 - 70	65	50 - 45 = 5	2	10
			${\sum }_{}{f}_i$ = 50		${\sum }_{}{f}_i{u}_i$ = -45

And

We know formula of mean by step deviation method :

$\overline{x} = a + h\times \frac{\sum f_i{u}_i}{\sum f_i}$  , So

Mean $\overline{x} = 45 + 10 \times \frac{-45}{50}= 45 +\frac{-450}{50} = 45 - 9$  = 36                                        ( Ans )

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