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)

POPULATION. All 13 public universities in Ohio are included.

b)

Getting the mean, u,      
      
u = Sum(x) / n      

Sum(x) =    287491  

As n =    13  

Thus,      

u =    22114.69231   [ANSWER]

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c)

Ordering the data,

1913
4180
14419
15604
17360
18319
18613
20215
20677
25967
34064
36835
59325

Thus, the middle entry is the 7th entry,

median = 18613 [ANSWER]

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d)

Range = max - min = 59325 - 1913 = 57412 [ANSWER]

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e)

Setting up tables,          
x       x - u       (x - u)^2  
25967   3852.307692   14840274.56  
18613   -3501.692308   12261849.02  
1913   -20201.69231   408108372.1  
36835   14720.30769   216687458.6  
15604   -6510.692308   42389114.33  
34064   11949.30769   142785954.3  
17360   -4754.692308   22607098.94  
59325   37210.30769   1384606999  
20677   -1437.692308   2066959.172  
4180   -17934.69231   321653188.2  
20215   -1899.692308   3608830.864  
18319   -3795.692308   14407280.09  
14419   -7695.692308   59223680.09  
          
Thus, Sum(x - X)^2 =    2645247059      
          
Thus, as           
          
s^2 = Sum(x - X)^2 / (n - 1)          
          
As n =    13      
          
s^2 =    220437254.9      
          
Thus,          
          
s =    14847.12952   [ANSWER, STANDARD DEVIATION]