Quantitive Analysis Assignment Solution For 2021 July

Sri Dev Suman Uttrakhand Vishwavidhalaya

2. Calculate the Mean from the folowing data (07)

Marks	Less than 10	Less than 20	Less than 30	Less than 40	Less than 50
No. of Students	5	17	31	41	49

Solution

Marks	0-10	10-20	20-30	30-40	40-50
No. of Students	5	17	31	41	49

  Observations(x)  
  Frequency(f)  
  Class mark  
      x × f     
  0 - 10
  5  
  5  
  5×5 = 25  
  10 - 20
  17  
  15  
  15×17 = 255  
  20 - 30
  31  
  25  
  25×31 = 775  
  30 - 40
  41  
  35  
  35×41 = 1435  
  40 - 50
  49  
  45  
  45×49 = 2205  
  
  Σf = 143  
  
  Σfx = 4695  


Arithmetic mean (x) =  Σfx 
Arithmetic mean (x) =      
Arithmetic mean (x) =  Σf  


Arithmetic mean (x) =   4695  
Arithmetic mean (x) =         
Arithmetic mean (x) =   143   


 ∴ Arithmetic mean (x) = 32.832