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.

54.3

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