1. For the following, please a

1. For the following, please assume that you are an expert intests and measurements who is meeting with a parent who isunfamiliar with each of the following types of test-scoreinterpretations to explain their child’s score on a math test. Foreach test score write a two- or three-sentence written descriptionin such a way that a parent would understand. You can assume thateach of these is a stand-alone statement (i.e., when describing Byou can assume they have not heard your explanation of A). Youshould first describe the type of score and then what the scoremeans for their child.

  1. Percentile rank of 16.
  2. Grade equivalent of 4.5 for a child who has just completed thesixth grade.
  3. A z-score of +2.0.
  4. Stanine score of 7.
  5. Score of 3 standard deviations above the mean.


A. Percentile means ‘Percentage below’. It isanother way of mentioning your rank.

To score 16 percentile means that there are about 16 percent ofpeople (who appeared for the test) who have scored less than you,that means you are in the top 84 percent of students who havescored great.

B. If the grading system is out of 10, then a grade of 4.5 meansthat the student has scored 45% marks in total.

C. A Z-score is a numerical measurement used in statistics of avalue’s relationship to the mean (average) of a group of values,measured in terms of standard deviations from the mean. A z-scoreof 2 is 2 standard deviations above the mean.

D. A stanine is a score on a nine-unit scale from 1 to 9, wherea score of 5 describes the average performance. The highest stanineis 9; the lowest is 1. A stanine score of 7 means that it is abovethe average performance.

E. ‘Score of 3 standard deviations above the mean’ means that itis above the average performance from the rest of the class.

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