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,

$x_{1} , x_{2} , x_{3} , ... x_{50} \\\\ \overline{x}= \dfrac{\sum_{i=1}^{50}\ x_{i}}{50} \\\\ \dfrac{\sum_{i=1}^{50}\ 53-x_{i} }{50} =-3.5\\ \dfrac{50*53 }{50} -\dfrac{\sum_{i=1}^{50}\ x_{i}}{50}=-3.5\\\\ 53-\overline{x}=-3.5\\ \overline{x}=53+3.5=56.5$