The average of 157 lab readings was 53 units. Later on, it was found that a reading of 210 was wrongly typed as 53. Find the correct average.

The average of 100 numbers is 40. If one of the numbers, 30, is replaced by 70 while keeping the other numbers same, what is the new average?

The arithmetic mean of 22.5, 56, 42.5, 2x + 1, x - 2, 3x, and 36 is 30. Find the value of x (where x > 0).