There are 50 numbers. Each number is subtracted from 53 and the mean of the numbers so obtained is found to be -3.5. The mean of the given numbers is

Question

Philoid · Accepted Answer

Let’s take 50 numbers as = n₁, n₂, …………, n₅₀

And mean = x

Then sum = 50x

Now each number is subtracted from 53,

We have,

53 - n₁, 53 - n₂, …………, 53 - n₅₀

Sum becomes = 53 × 50 – (n₁ + n₂ + …………, + n₅₀)

Given Mean = - 3.5

So,

= 2650 – 50x = 50 × (- 3.5) = -175

50x = 2875

So, mean of the given numbers will be 56.5