Alfred missed a class test. For the test that Alfred missed, the class mean was 18 and the standard deviation was 4. If his teacher is going to give Alfred a mark based on his standard score, what mark should Alfred receive?
His teacher knows that Alfred usually scores 1.6 standard deviations above the class mean.
His teacher knows that Alfred usually scores 1.6 standard deviations above the class mean.
1 Answer
Jan 9, 2018
The teacher will give Alfred a score of
Explanation:
Since his average z-score is 1.6 standard deviations above the class mean, the teacher has to convert that score into a number of points above the mean.
First, the teacher can multiply the standardized score by the standard deviation to find how many points above/below the mean, his score will be:
Then, add this number to the mean to find his score:
The teacher will give Alfred a score of
