Q. 224.7( 3 Votes )

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
A. 46.5

B. 49.5

C. 53.5

D. 56.5

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

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