Find the arithmetic mean using step deviation method.

95

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85

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77.55

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65

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Solution

The correct option is D $77.55$
Answer:-
Class interval width (i) = 25

Earnings
X No. of workers
F $u = \frac{X - A}{i}$ Fu
25 10 -1 -10
50 = A 20 0 0
75 30 1 30
100 40 2 80
$Σ f = 100$ $Σ f u = 110$
Mean = $A + \frac{Σ f u}{Σ f} = 50 + \frac{110}{100} \times 25 = 50 + 25 = 77.5$
C) 77.5

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Earnings X	No. of workers F	$u = \frac{X - A}{i}$	Fu
25	10	-1	-10
50 = A	20	0	0
75	30	1	30
100	40	2	80
	$Σ f = 100$		$Σ f u = 110$

Find the arithmetic mean using step deviation method.

The correct option is D 77.55Answer:- Class interval width (i) = 25EarningsX No. of workersFu=X−Ai Fu 25 10-1 -1050 = A 2000 75 30130100 40280 Σf=100 Σfu=110 Mean = A+ΣfuΣf=50+110100×25=50+25=77.5C) 77.5

The correct option is D $77.55$
Answer:-
Class interval width (i) = 25

Earnings
X No. of workers
F $u = \frac{X - A}{i}$ Fu
25 10 -1 -10
50 = A 20 0 0
75 30 1 30
100 40 2 80
$Σ f = 100$ $Σ f u = 110$
Mean = $A + \frac{Σ f u}{Σ f} = 50 + \frac{110}{100} \times 25 = 50 + 25 = 77.5$
C) 77.5