After grading and calculating the mean, mode, median, and range of exam scores, a teacher changes the scores by adding 8 points to each student's exam score. Which of the following measures will remain unchanged after adding 8 points to each score?
a) median b)mean c)mode d)range
The range.
Let's make a data set.
{1,2,5,10,19,21}
Min is 1
Max is 21
21-1 = 20
The range is 20.
Now, let's imagine that we add 8 to each score.
New Data Set: {9,10,13,18,27,29}
Min is 9
Max is 29
29-9 = 20
The range is still 20.