You scored low on an exam. Your score was 43 out of a mean of 70. Assuming that the next exam is equally difficult you study same way as before with the mean still being 70. Which of the following actions will occur?
You will:
-score below 43
-score close to 43
-score between 43 and 70
-score close to 70
or -score above 85
You will:
-score below 43
-score close to 43
-score between 43 and 70
-score close to 70
or -score above 85
-
Choice #2: You will score close to 43. The reason is that the center of the distribution is fixed (at 70) and since you're not changing your standard deviation by studying differently, your percent rank in the scores' distribution will stay mostly unchanged.
-
-score below 43 . . . quite likely
-score close to 43 . . . most likely < <
-score between 43 and 70 . . . quite likely
-score close to 70 . . . unlikely
-score above 85 . . . very unlikely
-score close to 43 . . . most likely < <
-score between 43 and 70 . . . quite likely
-score close to 70 . . . unlikely
-score above 85 . . . very unlikely