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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