Question

There are 50 numbers. Each number is subtracted from 53 the mean of the numbers so obtained is found to be -3.5find the new mean of the given number

Answer 1

Sum of the numbers after subtracting from 53 is, -3.5 × 50 = -175
So, the sum of new numbers is -175.
Let the initial numbers be
x1, x2, x3 ....
Original Mean = x1+x2+x3.../50
New mean after subtracting each number from 53 = (53-x1)+(53-x2)+(53-x3).../50
Opening brackets,
53*50-(x1+x2+x3...)/50
2650-(The numbers)/50
We found sum of the numbers is -175.
So,
2650-(Initial Numbers) = -175
So, Sum of initial numbers is 2825.
So original mean is
= 2825/50 = 56.5
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