A school system employs teachers at salaries between $18,000 and $40,000. The teachers' union and school board are negotiating the form of next year's increase in the salary schedule. If every teacher is given a flat $1,000 raise, what will this do to the mean salary? To the median salary? To the extremes and quartiles of the salary distribution?
+23254 If every person's salary goes up by $1000.00:
The mean salary goes up by $1000.00.
The person who had the median salary before the raise will be the person who has the median salary after the raise and, since that person's salary went up by $1000.00, the median salary goes up by $1000.00
The person who had the lowest salary still has the lowest salary, but it is $1000.00 higher.
Similarly, the person who had the highest salary still has the highest salary, but it is also $1000.00 higher.
Finally, the quartiles of the salary distribution also increase by $1000.00.
