Question : The average of 45 numbers was found to be 39. Later on, it was detected that the number 65 was misread as 56. Find the correct average of the given numbers.
Option 1: 39.2
Option 2: 37.2
Option 3: 38.2
Option 4: 36.2
Correct Answer: 39.2
Solution :
The sum of 45 numbers = 45 × 39 = 1755
According to the question,
The correct sum of 45 numbers = 1755 – 56 + 65 = 1764
The correct average of the given numbers $=\frac{\text{The sum of values}}{\text{The total number of values}}=\frac{1764}{45} = 39.2$
Hence, the correct answer is 39.2.
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