Question

1. If an examinee has a Z score of 0, what does this mean? If an examinee has a Z score of -1, what does this mean? What about -2?

2. Determine if the following are true or false and explain why.

Matthew is a sixth grade student. He obtains a Grade Equivalent (GE) score of 8.3 in reading. This means that Matthew scored well above average fifth-graders on reading.

A GE score for Matthew of 8.3 means that he can read as well as eighth-graders in the third month of the school year.

Matthew’s GE score of 8.3 on reading means that Matthew could well be put in a class of eighth-graders for material in which readings skills are important Matthew scores a GE score of 6.4 in arithmetic on the same test battery from which his reading GE score was 8.3. This means that in arithmetic, Matthew is nearly two years behind his performance in reading.

Answer 1

1. Z scores are measures of standard deviation. If an examiner has a Z score of 0, it means that his/her score falls on the mean score of the distribution. If another examinee has a Z score of -1, it his/her score is interpreted as one standard deviation below the mean of the distribution. Finally, a Z score of -2 indicates the score being two standard deviations below the distribution.

Please post the other questions separately as we are supposed to answer just one question or four sub parts of the same question.