Normal Distribution and Z Scores

On a standardized exam, the scores are normally distributed with a mean of 36 and a standard deviation of 5. Find the z-score of a person who scored 39 on the exam.

• 0.6

• -0.6

• 0.79

• -0.79

On a standardized exam, the scores are normally distributed with a mean of 195 and a standard deviation of 20. Find the z-score of a person who scored 140 on the exam.

• -2.75

• 275

• 2.75

• 5.72

On a standardized exam, the scores are normally distributed with a mean of 500 and a standard deviation of 40. Find the z-score of a person who scored 616 on the exam.

• 2.9

• -2.9

• 29

• 2.99

Which of the following gives the most information about a score in relation to the overall population?

• Raw score

• z score

• Mean

The z score provides

• Information about how many standard deviations the score is from the mean

• The highest score

• The lowest score

• The mode

A positive standardized score represents

• An observed value at the mean

• An observed value above the mean

• One standard deviation

• Two standard deviations

According to the Empirical Rule

• 34% of the values fall within 3 standard deviations above and below the mean

• 34% of the values fall within one standard deviation above and below the mean

• 68% of the values fall within a positive 1 standard deviation

• 68% of the values fall within one standard deviation above and below the mean

A z score

• Is a standardized score for an observed value

• Is a raw score

• Is always the mean

• Is always the median

The area on the z table associated with one standard deviation above the mean is

• .3413

• .6826

• .0000

• .9515

A negative z score is located

• Below the mean

• At the mean

• Above the mean