Question

2. If the mean of a distribution is 100 with a standard deviation of 10, what raw score is associated with a z-score of +2.003.

3. Using the z-score formula, if you have a distribution with a mean of 50 and a standard deviation of 5, what z-score is associated with a raw score of X=43.5?

4. Using the z-score formula, if you have a distribution with a mean of 50 and a standard deviation of 5, what z-score is associated with a raw score of X=53.1

Answer 1

Solution:

2) If the mean of a distribution is 100 with a standard deviation of 10, what raw score is associated with a z-score of +2.003.

We have to find a raw score is associated with a z-score of +2.003

That is find x value for a z-score of +2.003.

Use following formula:

Thus a raw score is associated with a z-score of +2.003 is 120.03

3) Using the z-score formula, if you have a distribution with a mean of 50 and a standard deviation of 5, what z-score is associated with a raw score of X=43.5?

We have to find z-score is associated with a raw score of X=43.5.

z score formula is:

A z-score is associated with a raw score of X=43.5 is z = -1.30

4) Using the z-score formula, if you have a distribution with a mean of 50 and a standard deviation of 5, what z-score is associated with a raw score of X=53.1

We have to find z-score is associated with a raw score of X=53.1.

z score formula is:

Thus a z-score is associated with a raw score of X=53.1 is z = 0.62