Question

There are 50 numbers. Each number is subtracted from 53 and the mean of the numbers

so obtained is found to be – 3.5. Determine the mean of the given numbers.

Answer 1

Hello,


`x_(1) , x_(2) , x_(3) , ... x_(50) \\\\ \overline{x}= (\sum_(i=1)^(50)\ x_(i))/(50) \\\\ (\sum_(i=1)^(50)\ 53-x_(i) )/(50) =-3.5\\ (50*53 )/(50) -(\sum_(i=1)^(50)\ x_(i))/(50)=-3.5\\\\ 53-\overline{x}=-3.5\\ \overline{x}=53+3.5=56.5\\`