Question

describe the problems faced by the weimar republic​

Answer 1

Answer:

(iv)

(v) Apply the following formula to obtain mean :

X = A +

Calculate Arithmetic Mean, of the following data by using Illustration 2 :

direct and short-cut method :

10 20 30 40 50 60 70 80 90 Wages (Rs.) :

453252312 No. of Workers :

Solution :

Direct Method Short-cut Method

Deviations fd Frequencies ages Frequencies W Wages

X f fX X f d=X–A

A=50

10 4 40 10 4 -40 -160

20 5 100 20 5 -30 -150

30 3 90 30 3 -20 -60

40 2 80 40 2 -10 -20

50 5 250 50 5 0 0

60 2 120 60 2 +10 +20

70 3 210 70 3 +20 +60

80 1 80 80 1 +30 +30

90 2 180 90 2 +40 +80

fd

Σ f=27

Σ fX

Σ f=27

Σ

=1,150 =-200

Direct Method : Short -cut Method :

X= = = 42.59 X = A+ = 50 + = 42.59 1150

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