There are 50 numbers. Each number is subtracted from 53 and the mean of the…
2017
There are 50 numbers. Each number is subtracted from 53 and the mean of the numbers so obtained is -3.5. The mean of the given numbers is
- A.
49.5
- B.
53.5
- C.
46.5
- D.
56.5
Attempted by 51 students.
Show answer & explanation
Correct answer: D
Let the mean of the 50 numbers be x̄.
When each number is subtracted from 53, the new mean becomes 53 - x̄.
We are given that this new mean is -3.5.
So, 53 - x̄ = -3.5.
Solving for x̄, we get x̄ = 53 + 3.5 = 56.5.
Thus, the mean of the given numbers is 56.5.