The following data represent the represent the flight timein

The following data represent the represent the flight time(in minutes) of a random sample of flights from Chicago . Illinois to Atlanta, Georgia on Sounthwest Airlines. 100, 90, 96, 104, 92, 98, 105, 90, 85, 90 Compute the following measures of thye flight time mean median variance

Solution

Ordering the data,

85
90
90
90
92
96
98
100
104
105

a)

Getting the mean, X,      
      
X = Sum(x) / n      
Summing the items, Sum(x) =    950  
As n =    10  
Thus,      
X =    95   [ANSWER, MEAN]

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b)

The median is the mean of the two middle terms (5th and 6th)

Median = (92+96)/2 = 94 [ANSWER]

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c)

Setting up tables,          
x   x - X   (x - X)^2  
85   -10   100  
90   -5   25  
90   -5   25  
90   -5   25  
92   -3   9  
96   1   1  
98   3   9  
100   5   25  
104   9   81  
105   10   100  
          
Thus, Sum(x - X)^2 =    400      
          
Thus, as           
          
s^2 = Sum(x - X)^2 / (n - 1)          
          
As n =    10      
          
s^2 =    44.44444444   [ANSWER, VARIANCE]