Z-score given mean test score and standard deviation

A student scores 50 on a psychology exam and 83 on an economics exam. The psychology exam has a mean score of 60 and the standard deviation of 5. The economics exam has a mean score of 80 and a standard deviation of 10. Find the z-score for each test and decide which exam score is relatively better.

What is the z-score for the psychology test score?

What is the z-score for the economics test score?

Choose the test on which the student had the better score.

Solution Summary

This solution calculates z-scores for a student's exam scores.

On a test whose distribution is approximately normal with a mean of 50 and a standard deviation of 10, the results for three students were reported as follows:
Student Opie has a T-score of 60.
Student Paul has a z-score of -1.00.
Student Quincy has a z-

The Jackson triplets, Jenny, John, and James, are in different algebra classes at City High. On their final exams, Jenny scored 85 on a test with a mean of 78 and a standard deviation of 8.5; John scored 78 on a test with a mean of 73 and a standard deviation of 9; and James scored 83 on a test with a mean of 75 and a standard d

Why it is possible to easily convert standard scores from one scale to another. When using these score listed below the meanand standard deviation of each of the transformed scores and the theoretical rationale for their equivalency for an example.
Person A z-score of 1.0
CEEB Score = 600
IQ Score = 115
AP Score = 82%

How do you find the z-score corresponding to a score of X = 100 for the distributions given below? How do you know what direction they are going?
a. mu = 80 and sigma = 10
b. mu = 80 and sigma = 5
c. mu = 105 and sigma = 10
d. mu = 105 and sigma = 5
Above, mu represents Meanand sigma represents Standard Deviation.

Comparing Scores. 3 students take equivalent test of a sense of humor and, after the laughter dies down, their scores are calculated which score is in the middle of the other two?
1. A score of 144 on a test with a mean of 128 and a standard deviation of 34?
2. A score of 90 on a test with a mean of 86 and a standard de

Comparing Scores. Three students take equivalent tests of sense of humor and, after the laughter dies down, their scores are calculated. Which is the highest relative score?
A. A score of 144 on a test with a mean of 128 and a standard deviation of 34.
B. A score of 90 on a test with a mean of 86 and a standard deviation of

1.) Test one: mean is 80 and standard deviation is 9. Mark scores 91
Test two: mean is 77 and standard deviation is 6. Mark score 87
Find the percentile for all
Which test Mark did better? Why?
2.) What is the the standard deviation for IQ tests? If someone's IQ is 140, how many standard deviation is it above the

With p= 80, x= 86and corresponds to z= + 2.00, what is the population standard deviation?
If you have a score of x= 65 on an exam, which set of parameters would give you the best grade on the exam?
- u= 60 and o= 5
- u=70 and o= 10
- u= 60 and o= 10
- u= 70 and o= 5
If you have a population of u= 50 what value would m