Aubrey Hendricks

2022-01-28

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?

Lily Thornton

Beginner2022-01-29Added 19 answers

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:

1.6*4=6.4

Then, add this number to the mean to find his score:

18+6.4=24.4

The teacher will give Alfred a score of 24.4.

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:

1.6*4=6.4

Then, add this number to the mean to find his score:

18+6.4=24.4

The teacher will give Alfred a score of 24.4.