A student, by mistake, wrote 64 in place of 46 as a number

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A student, by mistake, wrote 64 in place of 46 as a number at the time of finding the average of 10 given numbers and got the average as 50. The correct average of the numbers is :

1. 48.2
2. 48
3. 48.1
4. 49

Correct Option: A

Here , Average of 10 given numbers = 50
A student, by mistake, wrote 64 in place of 46 , then
Correct sum of numbers = 10 × 50 – 64 + 46
Correct sum of numbers = 500 – 18 = 482
∴ Correct average = 482 ÷ 10 = 48.2