The average of 100 numbers is 46, but it was found that 2 numbers 16 and 43 are mistakenly calculated as 61 and 34. Find his current average if it was also found that total number are only 84.
Answer & explanation
Correct answer: option 1
Sum of 100 numbers = 46 × 100 = 4600
Increase / decrease in numbers = (16+43) - (61+34)
= -36
So the sum would be = 4600 - 36 = 4564
and the numbers are 84 instead of 100
Hence average = \(\frac{4564}{84}\) = 54.3