Q.1 There are 50 numbers .Each number is subtracted from 53 and the mean of the numbers so obtained is -3.5.find the mean of given number?????????????
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let the no.s be x, x2, x3, x4,..................., x50
given each no. is subtracted from 53
the new no.s are 53-x1, 53-x2,.......................,53-x50
the mean of these new no. is -3.5
(53-x1+53-x2+53-x3+.............+53-x50)/50 = -3.5
2650-(x1+x2+..........+x50)=-175
x1+x2+..............+x50 = 2825
mean of the original no.s = 2825/50 = 56.5
given each no. is subtracted from 53
the new no.s are 53-x1, 53-x2,.......................,53-x50
the mean of these new no. is -3.5
(53-x1+53-x2+53-x3+.............+53-x50)/50 = -3.5
2650-(x1+x2+..........+x50)=-175
x1+x2+..............+x50 = 2825
mean of the original no.s = 2825/50 = 56.5
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37
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