# Converting scores to a metric

#### latonya1

##### New Member
Scores for the AAT are reported with a mean of 80 and a standard deviation of 8. Martina received a raw score of 84 on the math portion of the AAT. Convert her scores to a metric so they are comparable to SAT scores.

The scores that are normally used are SAT scores (mean=500 and standard deviation=100)

Decide which math class Martina should be placed in:
700-800 Calculus
500-699 Trigonometry
300-499 Geometry
100-299 Algebra

Should I use the Z score formula and if so what is the next step?

Z= 84-80/8 = 0.5

latonya

Conversion

Latonya

latonya

#### Xenu

##### New Member

latonya

I am not absolutely sure that I understand the question. However, this is what I think.

As you can see, Martina is 0.5 standard deviations above the mean in the AAT. So, what you need to find out is the corresponding value for the SAT scores. What is the score that is 0.5 SD above the mean in the SAT?

#### latonya1

##### New Member
You have a student, Martina, entering your school from another state. You need to know which math class you should place her in. The scores you normally use are SAT scores (mean=500 and standard deviation=100). The rules you use for placement are:

700-800 Calculus
500-699 Trigonometry
300-499 Geometry
100-299 Algebra

However, this student did not take the SAT, but instead took the AAT. Scores for the AAT are reported with a mean of 80 and a standard deviation of 8. Martina received a raw score of 84 on the math portion of the AAT. Convert her scores to a metric so that they are comparable to SAT scores, then decide in which math class Martina should be placed.

Please give me some direction. What formula do I use to compute which level is .5 standard deviations above the mean.
latonya

#### latonya1

##### New Member
.5 standard deviations above the mean is 550 correct? That would mean the correct placement would be a Trigonometry class?