There are 50 numbers. Each number is subtracted from 53 and the mean of the numbers so obtained is found to be –3.5. What is the mean of given numbers?

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D Mukherjee

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Let S be the sum of the 50 numbers and the individual numbers be a,b,c etc 50 terms Given that / 50= -3.5 Or / 50 = -3.5 Or / 50 = -3.5 Or 2650 - S = -3.5 x 50 Or S = 2650 + 175 = 2825 Therefore the mean of the given numbers = S/50 = 56.5 Ans
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Let S be the sum of the 50 numbers and the individual numbers be a,b,c etc 50 terms Given that [(53-a) + (53-b) + (53-c) + .........50 terms] / 50= -3.5 Or [53 + 53+53+...50 terms -(a+b+c+...50 terms] / 50 = -3.5 Or [53 x 50 - S ] / 50 = -3.5 Or 2650 - S = -3.5 x 50 Or S = 2650 + 175 = 2825 Therefore the mean of the given numbers = S/50 = 56.5 Ans read less
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