The following table gives the distribution of total household (in rupees) of manual workers in the day

Then the average expenditure (in Rs) per household is ____.

Question

The following table gives the distribution of total household (in rupees) of manual workers in the dayThen the average expenditure (in Rs) per household is ____.

Accepted Answer

So here we are given the distribution or the table which shows that or the expenditures and their frequency are distributed. So here we are given that between the expenditure of 100 and and 150 we have 24 workers and similarly we are given all other ranges of the expenditures and number of persons lying in that range.So here we saw how the expenditures of the total household are distributed among the manual workers in a city and we have to find the average expenditure of the workers. Average value is also termed as the mean value and its formula is given by

Mean=

∑ 
       
        x
        i

f
        i

∑ 
       
        f
        i

Here

x
    1
   
   =
    
     100+150
    2
   
   =125
  Similarly all other values will be the average of their upper and lower limit whenever we are given the terms in the form of the interval.

x
      2
     
     =
      
       150+200
      2
     
     =175

x
      3
     
     =225

x
      4
     
     =275

x
      5
     
     =325

x
      6
     
     =375

x
      7
     
     =425

x
      8
     
     =475

Similarly we are given the frequencies values as

f
      1
     
     =24

f
      2
     
     =40

f
      3
     
     =33

f
      4
     
     =28

f
      5
     
     =30

f
      6
     
     =22

f
      7
     
     =16

f
      8
     
     =7

Now we apply the formula as

Mean=

∑ 
       
        x
        i

f
        i

∑ 
       
        f
        i

=
      
       (24)(125)+40(175)+33(225)+28(275)+30(325)+22(375)+16(425)+7(475)
      
       24+40+33+28+30+22+16+7

=
      
       53250
      
       200
     
     =266.25

Hence average value is Rs.

266.25

The following table gives the distribution of total household (in rupees) of manual workers in the day

Then the average expenditure (in Rs) per household is ____.

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