MCQ
There are $50$ numbers. Each number is subtracted from $53$ and the difference between the mean of the numbers so obtained is found to be $3.5$. The mean of the given number is:
  • $56.5$
  • B
    $52.5$
  • C
    $49.5$
  • D
    $47.5$

Answer

Correct option: A.
$56.5$

Let the mean of the initial sequence is $x$.
Given that, after subtracting $53$ from each number, the difference between the means is $3.5$.
So, $x - 53 = 3.5$
Mean of the number is $x = 53 + 3.5 = 56.5$

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