Question

The wage distribution of workers of a certain factory is given as under: Wages in rupees 27 32 37 42 47 52 Number of workers 30 28 25 19 15 3 On the present demand of the workers, the wages of each worker is increased by Rs.10. What effect will this change have on the mean and standard deviation of the given wages distribution.

Answer 1

Answer:

ANSWER

 Class-Intervals mid-values

xi fi di=xi−47.5ui=3xi=47.5

fiui 40−43 41.5 31 −6 −2 −6243−46  44.5 58 −3 −1 −58 46−52 47.5 60 0 0 0 49−52 50.5 f 3 1 f 52−55 53.5 27 6 2 54   N=∑fi=176+f   ∑fiui=f−66We have,

X= 42.7 , A= 47. 5 and h=3

∴X=A+h[