1. what two factors determine the size of a z-score? 2.why are z- scores called

Question

1. what two factors determine the size of a z-score?

2.why are z- scores called "standard scores"?

3. An instructor says that your test grade produced a very large positive z-score. A) How well did you do on the test? B) What do you know about your raw scores relative frequency?

4. Another exam produced raw scores with a sample mean of 25 and standard deviation of 2. Find the following: A) the z- score for x= 31, B) the z- score for X= 18, C) the raw score for z= -2.5, D) the raw score for z= +.5

Explanation / Answer

1. The Z is decided by the Mean and the standard deviation of the distribution

2. The Z score are got by standardizing the variable with it' mean and standard deviaiton. Like that you can standardize attributes and compare at the same scales. That' how and why variables are comparables.

3. A) How well did you do on the test?

He did better than 50 perentage of total people who gave test

B) What do you know about your raw scores relative frequency?

It' depends on data. Cant see data

4. Another exam produced raw scores with a sample mean of 25 and standard deviation of 2.

Find the following:

A) the z- score for x= 31,

Z = 31-25 / 2 = 3

B) the z- score for X= 18,

18-25/ 2 = -3.5

C) the raw score for z= -2.5,

That' -2.5*2 +25 = 20

D) the raw score for z= +.5

That' .5*2 +25 = 26

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