A professor standardizes exam scores so that all exams have μ = 50 and s = 10.If the original scores from an exam have μ = 42 and s = 6,then a student with an original exam score of X = 45 would receive a standardized score of X = 55.

Question

Quizplus · Accepted Answer

To standardize scores, we use the formula:

z = (x - μ) / s

where z is the standardized score, x is the original score, μ is the mean, and s is the standard deviation.

In this case, we have:

μ = 42
s = 6
μ desired = 50
s desired = 10

To find the standardized score for x = 45, we first standardize the original score:

z = (45 - 42) / 6 = 0.5

Then, we convert this standardized score to the desired scale:

X = μ desired + z * s desired = 50 + 0.5 * 10 = 55

Therefore, the statement is true, and the answer is A.

A Professor Standardizes Exam Scores So That All Exams Have