Question:
There are 50 numbers. Each number is subtracted from 53 and the mean of the numbers so obtained is found to be – 3.5. Determine the mean of the given numbers.
Answer:
Let the mean of the number is x
Value of total number = 50x
Now each number is subtracted by 50
Total substracted value = 50*53 = 2650
According to question
( 53*50 - 50x) = -3.5
=> 2650 - 50x = -3.5*50
=> 2650 - 50x = -175
=> 50x = 2650 + 175
=> 50 x = 2825
=> x = 2825/50
=> x = 56.5
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