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Q.

An aircraft has 120 passenger seats. The number of seats occupied during 100 flights is given in the following table:


Question Image

Determine the mean number of seats occupied over the flights.


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a

210

b

109

c

313

d

125 

answer is B.

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Detailed Solution

As it is given that an aircraft has 120 passenger seats.
The number of seats occupied during 100 flights is given by the table.
Question ImageLet us find the mean number of seats occupied over the flights.
Mean( x ¯ )=a+ f i d i f i   Where a = assumed mean  d i = x i a  
Question ImageLet assumed mean = 110
Total number of observations N = 100
Class width = 4
  Mean( x ¯ )=a+ f i d i f i =110+ 8 100 =1100.08 =109.92  
We know that seats cannot be possible in decimal,
So the mean number of seats = 109
So, the mean number of seats occupied over the flights is 109.
Therefore, option 2 is correct.
 
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