If the mean of the 5 observation x,x+2,x+4,x+6 and x+8 is 11 . then find the value of x5
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Solution :
Given observations :
x ,x+2,x+4,x+6 and x+8
i ) Sum of the observations
= x+x+2+x+4+x+6+x+8
= 5x + 20 ---( 1 )
ii ) Number of observations
= 5
Now ,
mean = 11 [ Given ]
=> ( 1 )/( 2 ) = 11
=> ( 5x + 20 )/5 = 11
=> 5x + 20 = 55
=> 5x = 55 - 20
=> 5x = 35
=> x = 35/5
=> x = 7
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