The average score of 17 students was calculated as 180. However, it was later discovered that the score of one student was wrongly entered as 72 instead of 27. What is the correct average score?

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).