Q.
If the mean of the numbers 27+x,31+x,89+x,107+x,156+x is 82, then the mean of 130+x, 126+x,68+x,50+x,1+x is
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a
75
b
157
c
82
d
80
answer is A.
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Detailed Solution
Given 82=(27+x)+(31+x)+(89+x)+(107+x)+(156+x)5 ⇒82×5=410+5x⇒410−410=5x⇒x=0Therfore, the required mean isx¯=130+x+126+x+68+x+50+x+1+x5=375+5x5=375+05=3755=75
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