say that you have a distribution of exam scores with a mean of 57 and a standard deviation of 7. if a student in the class has a standard score equal to 2.429, what would their raw score on the exam be?
I assume you mean a Z score.
Z = (score-mean)/SD
To find the raw score corresponding to a given standard score, you can use the formula:
Raw score = (Standard score * Standard deviation) + Mean
In this case, the standard score is given as 2.429, the standard deviation is 7, and the mean is 57.
Plugging in these values into the formula, we can calculate the raw score as:
Raw score = (2.429 * 7) + 57
Simplifying the expression:
Raw score = 16.003 + 57
Calculating:
Raw score ≈ 73.003
Therefore, the student's raw score on the exam would be approximately 73.003.