Question

The following data gives the distribution of total monthly household expenditure of 200 families of a village. Find the modal monthly expenditure of the families. Also, find the mean monthly expenditure:
Expenditure (in rupees) 1000-1500 1500-2000 2000-2500 2500-3000 3000-3500 3500-4000 4000-4500 4500-5000
Number of families 24 40 33 28 30 22 16 7

Answer 1

1 ) From Table ( 1 )

Here ,

The maximum class frequency is 40

Now ,

lower limit ( l ) = 1500

modal class = 1500 - 2000

class size ( h ) = 500

frequency of the modal class ( f1 ) = 40

frequency of class preceding the

modal class ( f0 ) = 24 ,

frequency of class succeeding the

modal class ( f2 ) = 33 ,

mode ( z ) = l+[(f1 - f0)/(2f1 - f0 - f2)]×h

z = 1500 + [(40-24)/(2×40-24-33)]×500

z = 1500 + ( 16 × 500 )/( 23 )

z ≈ 18847.83

2 ) From table ( 2 ),

Mean = 2750 +[ ( -35 )/200 ]× 500

Mean = 2662.5

I hope this helps you.

: )

Answer 2

Answer:

according tomorrow your results will come

newer win