Question : The average of 36 results is 18. If 2 is subtracted from each result, what will be the new average of the results?
Option 1: 9
Option 2: 16
Option 3: 17
Option 4: 17.5
Correct Answer: 16
Solution :
An average of 36 results = 18
Sum of 36 results = 36 × 18 = 648
Let the new average be $x$.
According to the question,
36$x$ = 648 – 36 × 2
⇒ 36$x$ = 648 – 72
⇒ 36$x$ = 576
⇒ $x$ = 16
Hence, the correct answer is 16.
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