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:
  • A
    $49.5$
  • B
    $53.5$
  • $56.5$
  • D
    $46.5$

Answer

Correct option: C.
$56.5$

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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