You are given the following:

there are 27 pieces of data
mean is 60
standard deviation is 25

You realize that one of the pieces of data is inputted wrong..... it was a 25, but it is suppose to be 52.... find the actual mean and standard deviation for the actual set of numbers

It was supposed to be 52 instead of 25, so that adds 27 to the total to calculate the mean. The mean rises by 1 to 61. The standard decreases since the correct value is closer to the mean. It appears it should decrease by 1 to 24, but I'll let you prove that.