Answer:
As we do not have any information about the ages of the existing teachers in the data set, we cannot determine the exact impact of adding a teacher with an age of 45 on the mean.
However, we can make some general observations. If the age of the new teacher (45 years) is less than the mean age of the original data set, then the addition of the new teacher would decrease the mean age. Conversely, if the age of the new teacher is greater than the mean age of the original data set, then the addition of the new teacher would increase the mean age.