The IRS was interested in the number of individual tax forms prepared by small a

Question

The IRS was interested in the number of individual tax forms prepared by small accounting firms. The IRS randomly sampled 51 public accounting firms with 10 or fewer employees in the Dallas-Fort Worth area. The following frequency table reports the results of the study. Number of Clients Frequency 20 up to 30 30 up to 40 11 40 up to 50 23 50 up to 60 60 up to 70 Estimate the mean and the standard deviation. (Round squared deviations to nearest whole number and final answer to 2 decimal places.) Mean Standard deviation

Explanation / Answer

f=   51  
fx =   2275  
      
Mean = fx / f =   44.6078  
Mean square = f x^2 / f =   2091.6667  
      
Varriance = (Mean square) - (Mean)^2      
      
Varriance = f x^2 - Mean^2 =   101.811  
Stadard Dev= Var =   10.0901  

Intervals Frequency(f) Mid-Point(x) fx Midpt^2 ( X^2) Sum-of-the-Squares ( f x^2 ) 20-30 4 25 100 625 2500 30-40 11 35 385 1225 13475 40-50 23 45 1035 2025 46575 50-60 9 55 495 3025 27225 60-70 4 65 260 4225 16900

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