Question

Suppose that a Normal model described student scores in a history class. Parker has a standardized score ( z-score) of -0.03 . What does this mean for Parker? Parker has a standard deviation of 0.03 . Parker is 0.03 points below average for the class. Parker is 0.03 standard deviations below average for the class. Parker has a score that is 0.03 times the average for the class. Parker is 0.03 points above average for the class.

Answer 1

Parker's z-score of -0.03 indicates that his score is 0.03 standard deviations below the class average for the history test.

Step-by-step explanation:

If Parker has a standardized score (z-score) of -0.03, this means that Parker's score is 0.03 standard deviations below the class average on the history test. A z-score is a statistical measure that describes a score's relationship to the mean of a group of scores in terms of standard deviations. Since the z-score is negative, Parker scored just slightly below the class mean; positive z-scores indicate a score above the mean. The standard normal distribution, denoted as Z~ N(0, 1), has a mean of 0 and standard deviation of 1, and is used for comparing different data sets by standardizing scores.