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Article: Social Science Statistics
ch. 6 p.97 compute: Statistics using:
http://statdisk.com/      [Stat Disk (help - how to use Stat Disk) Free Statistics Calculators]
 
Download Statdisk and save it to the hard drive.
Note: To download, click on http://statdisk.com/ and follow instructions. (Latest Version: 10.4.0
These links are to downloads on the official Addison Wesley Statdisk Site.
Statdisk 10.4.0 Windows 2K, XP, Vista)
Note: When you see the figure at right, click on OK. Extract All with an unzip utility. (PKzip is a free unzip utility - click on PKzip to access site, then click on downloads)
Open Statdisk and enter the below figures into it (see enter data).
Or in "Sample Editor" (toolbar) File > Open > ArtSTATS2 > Saved Data > For6-6 > double click > finish (enters data)
In the tool bar (top of page) click on data - go to explore data - select column (in this case 1) - press evaluate button (see ExploreData).
Notice: on the page (left side) Sample size - mean - Variance = S 2 -  St Dev = S,  Σx,   Σx 2 and 95% CI (values)
 
 
 
ch. 6 p.97 compute: S 2
Formula 6-6. - sample variance - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
       StatDisk - data
   n     x    
   1.   25    see: Enter Data6-6 
   2.   24    
   3.   23    see: ExploreData6-6
   4.   22    
   5.   20    Notice:  ExploreData6-6   variance, S 2  = 31.49091 (or 31.49)
   6.   18                left side aprox 1/4 down
   7.   17    
   8.   16    ans. S 2  = 31.49
   9.   14    
 10.   10    
 11.     8    
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Open Statdisk and enter the below figures into it (see enter data).
Or in "Sample Editor" (toolbar) File > Open > ArtSTATS2 > Saved Data > For6-9 > double click > finish (enters data)
In the tool bar (top of page) click on data - go to explore data - select column (in this case 1) - press evaluate button (see ExploreData).
ch. 6 p.98 compute: S 2 
Formula 6-9. - sample variance - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
       StatDisk - data
   n    x    
   1.  14   see: Enter Data6-9
   2.  13    
   3.  13    see: ExploreData6-9 
   4.  12    
   5.  12    Notice:  ExploreData6-9   variance, S 2  = 5.695652 (or 5.70)
   6.  12               left side aprox 1/4 down              
   7.  11    
   8.  11   Note: where x = the value,   f = the frequency ( or number of times the value is listed)
   9.  11                      x            f
 10.  10                    14           1
 11.  10                    13           2 
 12.  10                    12           3 
 13.  10                    11           3 
 14.  10                    10           5
 15.    9                      9           3
 16.    9                      8           2 
 17.    9                      7           1
 18.    8                      6           2
 19.    8                      5           1
 20.    7    
 21.    6                 ans. S 2  = 5.70
 22.    6                 note: S 2  = variance
 23.    5    
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Open Statdisk and enter the below figures into it (see enter data).
Or in "Sample Editor" (toolbar) File > Open > ArtSTATS2 > Saved Data > For6-14 > double click > finish (enters data)
In the tool bar (top of page) click on data - go to explore data - select column (in this case 1) - press evaluate button (see ExploreData).
ch. 6 p.101 compute: S
Formula 6-14. - sample deviation - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     StatDisk - data
  n     x    
 1.
 20    see: Enter Data6-14
  2.
 19    
  3.
 14    see: ExploreData6-14
  4.   12     
  5.  10    Notice:  ExploreData6-14   deviation, S = 4.358899 (or 4.36)
                     left side aprox 1/4 down
       ans. S = 4.36
       note: S = deviation
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Open Statdisk and enter the below figures into it (see enter data).
Or in "Sample Editor" (toolbar) File > Open > ArtSTATS2 > Saved Data > For6-15 > double click > finish (enters data)
In the tool bar (top of page) click on data - go to explore data - select column (in this case 1) - press evaluate button (see ExploreData).
ch. 6 p.102 compute: S
Formula 6-15. - sample deviation - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
        StatDisk - data
   n     x    
   1.   13    see: Enter Data6-15
   2.    12    
   3.    11    see: ExploreData6-15 
   4.   11     
   5.   10    Notice:  ExploreData6-15   deviation, S = 2.716207 (or 2.72)
   6.      9                left side aprox 1/4 down
   7.     9    
   8.     9      ans. S = 2.72
   9.      6    
 10.     4    
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Exercise 6-5
                   StatDisk - data
   n  x  n  x (cont)  n  x (cont)  n  x (cont)    
   1.  9 11.  7  21.  6 31.  5    see: Enter DataEx6-5a 
   2.  9 12.   7  22.  6 32.   5    
   3.  9 13. 7   23.  6 33.   4    see: Enter DataEx6-5b
   4.  9 14.  7  24.  6 34.  4    
   5.  8 15.  7  25.  6 35.  4   see: ExpDataEx6-5
   6.  8 16. 7   26. 5  36.  3    
   7.  8 17.  7  27. 5  37.  3    Notice: ExpDataEx6-5 - Range: 8, Mean: 6
   8.  8 18.  6  28. 5  38.   3                          St Dev,  s: 1.987138 (or 1.99)
   9.  8 19.  6  29. 5  39.  2                          Variance  S 2 :  3.948718 (or 3.95)
 10.  8 20.  6  30.  5 40.  1                           left side aprox 1/4 down
                              Sapprox = Range / 4  =  8 / 4 = 2
  Find R, Sapprox, mean, S 2 , and S                      ans. R = 8, Sapprox = 2, mean = 6, S = 1.99, S 2  = 3.95
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Open Statdisk and enter the below figures into it (see enter data).
Or in "Sample Editor" (toolbar) File > Open > ArtSTATS2 > Saved Data > Ex6-7 > double click > finish (enters data)
In the tool bar (top of page) click on data - go to explore data - select column (in this case 1) - press evaluate button (see ExploreData)
Exercise 6-7
            StatDisk - data
   n     x    n    x(cont.)    
   1.  22  12.  15   see: Enter DataEx6-7a 
   2.  20   13  13    
   3.  20  14.  13    see: Enter DataEx6-7b
   4. 19   15.  13    
   5.  19  16.  13    see: ExpDataEx6-7
   6.   18  17.  11    
   7.  18  18.  11    Notice: ExpDataEx6-7 - Range: 8, mean: 6
   8.  18  19.  10                 St Dev,  S: 4.084603 (or 4.08)
   9.  15   20.    9                 Variance  S 2 :  16.68398 (or 16.68)
 10.  15  21.    9                 left side aprox 1/4 down
 11.  15  22.     8                 Sapprox = Range / 4  =  14 / 4 = 3.5
           Ans. R = 14, Sapprox = 3.5, S 2  = 16.68, and S = 4.08
Find R, Sapprox, S 2 , and S
Ans. R = 14, Sapprox = 3.5, S 2  = 16.68, and S = 4.08
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Open Statdisk and enter the below figures into it (see enter data).
Or in "Sample Editor" (toolbar) File > Open > ArtSTATS2 > Saved Data > Ex6-9 > double click > finish (enters data)
In the tool bar (top of page) click on data - go to explore data - select column (in this case 1) - press evaluate button (see ExploreData)
Exercise 6-9
           StatDisk - data
   n    x    n   x(cont.)    
   1.    5  11.    4    
   2.    4  12.    6    
   3.    9   13.  10    see: Enter DataEx6-9 
   4.    3  14.    7    
   5.     8  15.    3    see: ExpDataEx6-9
   6.    2  16.    2    
   7.    6    17.    6    Notice: ExpDataEx6-9 - Range: 8, Mean: 6
   8.    7  18.    8                 St Dev,  s = 2.716422 (or 2.72)
   9.    8  19.    2                 Variance  S 2 =  7.378947 (or 7.38)
 10.    0  20.    6                 left side aprox 1/4 down
           Sapprox = Range / 4  =  10 / 4 = 2.5
           Ans. R = 10, Sapprox = 2.5, S 2  = 7.38, and S = 2.72
Find R, S 2 , and S                          
Ans. R = 10, S 2  = 7.38, and S = 2.72
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Exercise 6-11
Identify each of the following:              Ans.
a. σ 2              d. S 2                            a. population variance                        d. sample variance              
b. σ                e.  S                              b. population standard deviation         e. sample standard deviation
c. μ                 f.  R                              c. population mean                             f. range of a set of scores
 
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Exercise 6-13                                      x - μ        92 - 100       - 8
find the z score for the following:      z =  -------   =  --------  =  -------  =  -0.533333333 (or -0.53)
IQ of 92; IQ of 127                                 σ               15             15
find the IQ score for following:
z score of 1.1; z score of -0.5             x - μ      127 - 100       27
Given: μ = 100 and σ = 15      z = -------  =  ----------  =  -----  =  1.8
                                                            σ               15             15
 
x = zσ  +  μ = 1.1(15) + 100 = 16.5 + 100 = 116.5
x = zσ  +  μ = -0.5(15) + 100 = -7.5 + 100 = 92.5
 
Ans. z = -0.53, z = 1.8; IQ = 116.5, IQ = 92.5
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Open Statdisk and enter the below figures into it (see enter data).
Or in "Sample Editor" (toolbar) File > Open > ArtSTATS2 > Saved Data > Ex6-15 > double click > finish (enters data)
In the tool bar (top of page) click on data - go to explore data - select column (in this case 1) - press evaluate button (see ExploreData)
Exercise 6-15
        StatDisk - data
   n  x    
   1.  13    see: Enter Data6-15 
   2.  12    
   3.  11    see: ExploreData6-15 
   4.  11    
   5.  10    Notice:  ExploreData6-15   variance, S = 2.716207 (or 2.72)
   6.    9                left side aprox 1/4 down
   7.    9    
   8.    9    ans. S = 2.72
   9.    6    
 10.    4    
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Open Statdisk and enter the below figures into it (see enter data).
Or in "Sample Editor" (toolbar) File > Open > ArtSTATS2 > Saved Data > Ex617 > double click > finish (enters data)
In the tool bar (top of page) click on data - go to explore data - select column (in this case 1) - press evaluate button (see ExploreData)
Exercise 6-17
               StatDisk - data
 n  x    n  x(cont)    n  x(cont)    
   1.  5  12.  2 23.   2     see: Enter DataEx6-17a
   2.  5  13.  2  24.  2    
   3.  5  14.  2  25.  2    see: Enter DataEx6-17b
   4.  3  15.  2  26.  2    
   5.  3  16.  2  27.  2    see: ExpDataEx6-17
   6.  3  17.  2  28.  2    
   7.  3  18.  2  29.  2   Notice: ExpDataEx6-9 - Range: 8, Mean: 6 
   8.  3  19.  2  30.  1                St Dev,  s: 1.028937 (or 1.03)
   9.  3  20.  2  31.  1                Variance  S 2 :  1.058712 (or 1.06)
 10.  3  21.  2  32.  1                left side aprox 1/4 down
 11.  3  22.  2  33.  1    Sapprox = Range / 4  =  4 / 4 = 1
               Ans. R = 4, S 2  = 1.06, and S = 1.03
Find R, S 2 , and S
Ans. R = 4, S 2  = 1.06, and S = 1.03
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Open Statdisk and enter the below figures into it (see enter data).
Or in "Sample Editor" (toolbar) File > Open > ArtSTATS2 > Saved Data > Ex6-19 > double click > finish (enters data)
In the tool bar (top of page) click on data - go to explore data - select column (in this case 1) - press evaluate button (see ExploreData)
Exercise 6-19
                
           StatDisk - data
   n    x    n  x (cont.)    
 1.  13  15.  7     see: Enter DataEx6-19a  
 2.  13  16.  7     
 3.  13  17.  6    see: Enter DataEx6-19b
 4.  11  18.  6    
 5.  10  19.  6    see: ExpDataEx6-19
 6.  10  20.  6    
 7.    9  21.  6    Notice: ExpDataEx6-19 - Range: 11, Mean: 6
 8.    9  22.  6                St Dev,  S = 2.85998 (or 2.86)
 9.    9  23.  5               Variance  S 2 :  8.179487 (or 8.18)
 10.    8 24.   5                 left side aprox 1/4 down
 11.    8  25.  4               Sapprox = Range / 4  =  11 / 4 = 2.75
 12.    8  26.  3               Ans. R = 11, Sapprox = 2.75, S 2  = 8.18, and S = 2.86
 13.    7  27.   2    
 14.    7        
Find R, Sapprox, S 2 , and S
Ans. R = 11, Sapprox = 2.75, Ssq = 8.18, and S = 2.86
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