Normal Distribution and Z-Scores

So, y values represent the actual, measurements that we are interested in.

• True

• False

In this formula, the y is one of the cut points in a Normal curve.

• True

• False

Which one is CORRECT?

• the bigger the Z-score, the data is closed to the mean

• the bigger the Z-score, then the more extreme the data will be

• the bigger the Z-score, the more usual is the data

Joanne's Z-score is -1.5. What does this mean?

• She didn't take the test yet.

• She scored 1.5 standard deviations below the average.

• She did better than most people.

• No clue

On a standardized exam, the scores are normally distributed with a mean of 500 and a standard deviation of 25. Find the z-score of a person who scored 525 on the exam.

• 1

• -1

• 0

• 2

On a standardized exam, the scores are normally distributed with a mean of 750 and a standard deviation of 100. Find the z-score of a person who scored 580 on the exam.

• -1.7

• 1.7%

• 1.12

• 1.7

On a standardized exam, the scores are normally distributed with a mean of 51 and a standard deviation of 10. Find the z-score of a person who scored 27 on the exam.

• -2.4

• 2.4

• 1.51

• -1.51

On a standardized exam, the scores are normally distributed with a mean of 400 and a standard deviation of 40. Find the z-score of a person who scored 472 on the exam.

• 1.8

• -1.8

• 0.76

• -0.76

On a standardized exam, the scores are normally distributed with a mean of 300 and a standard deviation of 20. Find the z-score of a person who scored 294 on the exam.

• -0.3

• 0.5

• 0.3

• 0.95

On a standardized exam, the scores are normally distributed with a mean of 300 and a standard deviation of 40. Find the z-score of a person who scored 400 on the exam.

• 2.5

• 25

• 2.5%

• -2.5