| Course | COUN 6360 Assessment in Counseling and Education |
|---|---|
| Week | Week 2 |
| Paper type | Derived score explanation |
| Length | About 640 words, 5 pages |
| Format | APA 7 student paper |
| School | Walden University |
| Program | MS in Clinical Mental Health Counseling |
| Updated | October 2026 |
Free sample paper for COUN 6360 Week 2
Four Ways to Report the Same Performance: A Derived Score Explanation for a Junior's Illustrative Math and Reading Results, Separating Percentile Rank From Percent Correct, Placing Standard Scores and T-Scores on Their Scales and Explaining Why Grade Equivalents Mislead
Student Name
Walden University
COUN 6360: Assessment in Counseling and Education
Instructor Name
Month Day, Year
Four Ways to Report the Same Performance: A Derived Score Explanation for a Junior's Illustrative Math and Reading Results, Separating Percentile Rank From Percent Correct, Placing Standard Scores and T-Scores on Their Scales and Explaining Why Grade Equivalents Mislead
The Results
Table 1
Illustrative Results for Jordan on Two Subtests
| Subtest | Raw score | Percentile rank | Standard score | T-score |
|---|---|---|---|---|
| Math reasoning | 31 of 48 | 23 | 89 | 43 |
| Reading comprehension | 39 of 48 | 63 | 105 | 53 |
All values are invented for this composite example and do not come from any real test or student. Standard scores are on a scale centered at 100 with 15 points per standard deviation; T-scores are centered at 50 with 10 points per standard deviationof 10.
Raw Scores
A raw score is the number of items answered correctly. Jordan answered 31 of 48 math items and 39 of 48 reading items. On its own, a raw score says little, because it depends on how hard the items were and how many there were. Knowing that Jordan got 31 math items right does not tell us whether that is typical for a junior.
Percentile Rank
Jordan's math percentile rank of 23 means that Jordan scored higher than about 23 percent of the juniors in the test's norm group. It does not mean that Jordan answered 23 percent of the items correctly; Jordan answered about 65 percent. This is the confusion families most often make, and it matters, because a percentile of 23 can sound like a failing grade when it describes a position in a group. Whiston (2017) notes that percentile ranks are easy to communicate but unequal in their spacing: the difference between the 50th and 60th percentiles reflects a smaller difference in performance than the difference between the 90th and 99th.
Standard Scores
A standard score expresses distance from the norm group's average in standard deviation units, placed on a familiar scale. Where 100 is average and each standard deviation spans 15 points, Jordan's math standard score of 89 is about three-quarters of a standard deviation below the average junior, and the reading score of 105 is about a third of a standard deviation above it. Because standard scores have equal intervals, they can be compared across subtests normed on the same group, which is why the math and reading scores can be set side by side. Drummond et al. (2016) describe standard scores as the most useful form for comparing performance across measures.
T-Scores
T-scores do the same work on a different scale, where 50 is the average and each standard deviation spans 10 points. Jordan's T-scores of 43 and 53 carry the same information as the standard scores of 89 and 105: below average in math, slightly above in reading. Some instruments, especially personality and behavior measures, report T-scores, so it helps families to know that a T-score of 50 is average, not a failing half.
Grade Equivalents
Some reports also give grade equivalents, which state the grade and month at which a raw score would be the median. They mislead in several ways. A grade equivalent of 9.4 for an eleventh grader does not mean the student has the skills of a ninth grader in the fourth month, only that a typical ninth grader at that point would have earned the same raw score on this test. Grade equivalents are often estimated rather than measured for grades not in the norm sample, and they are not on an equal-interval scale. Bandalos (2018) cautions against relying on them for interpretation. This explanation does not report them for Jordan.
What the Scores Say Together
In plain terms, Jordan's math reasoning sits in the low-average range for juniors and their reading in the average range. Whether the difference between the two is meaningful depends on the reliability of each score, which the next brief addresses.
References
Bandalos, D. L. (2018). Measurement theory and applications for the social sciences. Guilford Press.
Drummond, R. J., Sheperis, C. J., & Jones, K. D. (2016). Assessment procedures for counselors and helping professionals (8th ed.). Pearson.
Whiston, S. C. (2017). Principles and applications of assessment in counseling (5th ed.). Cengage Learning.
Reading the COUN 6360 Week 2 instructions
Week 2 asks you to explain derived scores for one set of results, in about three pages. Present a small table of results in several forms, such as raw scores, percentile ranks, standard scores and T-scores, and state clearly whether the values are real or invented. Give each score form its own paragraph explaining what it means for this student, in language a family could follow. Distinguish percentile ranks from percent correct explicitly. Explain the scale behind standard scores and T-scores. Address grade equivalents, explaining why they mislead if used. End by saying in plain words what the scores mean taken together. Cite assessment texts accurately, and avoid interpretations the scores do not support.
How this COUN 6360 Week 2 example is built
The derived score brief opens with a two-row table and a note that all values are illustrative. The raw score paragraph explains why 31 of 48 means little alone. The percentile paragraph corrects the common confusion with percent correct and cites Whiston on unequal spacing. The standard score paragraph places 89 and 105 relative to the mean and explains why equal intervals allow comparison, citing Drummond and colleagues. The T-score paragraph notes that 50 is average, not a failing half. The grade equivalent paragraph explains what a 9.4 actually means and cites Bandalos's caution. A short summary describes math as low average and reading as average and points to the next week's reliability question. Every paragraph points back to the same two rows of the table.
COUN 6360 Week 2 rubric: what earns full marks
Accuracy in each explanation carries the most weight. Readers check that percentile ranks, standard scores and T-scores are defined correctly and applied to this student's numbers, and that percentile and percent correct are clearly separated. Explaining scales in plain language earns credit, since the assignment prepares students to talk with families. Treatment of grade equivalents should show why they mislead. Labeling invented data honestly is required. The summary should not claim more than the scores show. Explanations that use technical terms without defining them, confuse score forms, present grade equivalents as meaningful or omit the plain-language summary fall into the middle band.
Common COUN 6360 Week 2 mistakes, and how to avoid them
Make a table with each score form for one or two subtests, then write one paragraph per form as if explaining it to a parent at a meeting. Check the math: a standard score below 100 should go with a percentile below 50. Watch for the percentile and percent correct confusion in your own wording. Explain what the mean and standard deviation of each scale are. If your report includes grade equivalents, explain what they actually mean and why they mislead. End with two plain sentences a family could repeat. A tutor can check your explanations, and the junior's derived score brief above covers all four forms.
Get a COUN 6360 Week 2 example written to your instructions
Any score table your section provides should travel with the derived score prompt and the rubric. A sample explanation with a converted profile, a paragraph per score type and a model parent paragraph arrives in 24 to 48 hours, with no fee for a first custom sample. Scores supplied in your prompt are used as given; otherwise every value is plainly invented.
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COUN 6360 Week 2 questions, answered
Where can I find a free COUN 6360 Week 2 sample paper?
The derived score explanation for the junior's illustrative results is posted above.
What does a percentile rank of 23 mean in the COUN 6360 Week 2 sample?
That the junior scored higher than about 23 percent of the norm group, not that they answered 23 percent correctly.
What scale do standard scores use here?
An average of 100, with 15 points to each standard deviation.
What does a T-score of 50 mean?
Average performance for the norm group.
Why are grade equivalents not reported?
They are often estimated, lack equal intervals and are easily misread as grade-level skills.