The enrollments of the 13 public universities in the state o

The enrollments of the 13 public universities in the state of Ohio are listed below.

Solution

a)

This is a population, since this includes all pubic universities in Ohio.

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b)

Getting the mean, X,          
          
X = Sum(x) / n          
Summing the items, Sum(x) =    287994      
As n =    13      
Thus,          
X =    22153.38462   [ANSWER]

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c)  

Ordering the data,

1682
4204
14673
15660
17019
18268
18792
20713
20900
25654
34524
36679
59226

Thus, the median is the middle term, the 7th term,

Median = 18792 [ANSWER]

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d)

Also, we have          
          
Maximum =    59226      
Minimum =    1682      
Range = max - min =    57544   [ANSWER]

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e)  

          
Setting up tables,          
x   x - X   (x - X)^2  
25654   3500.615385   12254308.07  
18792   -3361.384615   11298906.53  
1682   -20471.38462   419077588.1  
36679   14525.61538   210993502.3  
15660   -6493.384615   42164043.76  
34524   12370.61538   153032125  
17019   -5134.384615   26361905.38  
59226   37072.61538   1374378811  
20713   -1440.384615   2074707.84  
4204   -17949.38462   322180408.1  
20900   -1253.384615   1570972.994  
18268   -3885.384615   15096213.61  
14673   -7480.384615   55956153.99  
          
Thus, Sum(x - X)^2 =    2646439647      
          
Thus, as           
          
s^2 = Sum(x - X)^2 / (n - 1)          
          
As n =    13      
          
s^2 =    220536637.3      
          
Thus,          
          
s =    14850.47599   [ANSWER, STANDARD DEVIATION]

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