| Public Release Item Scoring Information | Return |
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Goal 3 Data Analysis And Probability |
Expectation 3.1 The student will collect, organize, analyze, and present data. |
Indicator 3.1.2 The student will use the measures of central tendency and/or variability to make informed conclusions. |
Assessment Limits:
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Brief Constructed Response (BCR) Item - Released in 2006 |
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The student government wants to determine if students get better grades in morning or afternoon classes. They randomly surveyed 20 students that take math class in the morning and 20 students that take math class in the afternoon. The survey results are shown in the stem-and-leaf plots below.
Complete the following in the Answer Book:
The following 8 Anchor Papers represent a range of score points and are used in conjunction with the rubrics to assess student responses. |
| Anchor Paper #1 |
Score for Anchor Paper #1: Rubric Score 1 Annotation: This response indicates little attempt to apply a reasonable strategy. The means for both the morning and afternoon classes are correct. The medians are incorrect because two answers are given for each median instead of one averaged answer (81 and 83; 76 and 79). The modes are incorrect (45; 35). The student indicates that the morning classes get better grades, but the justification using a measure of central tendency is missing (This is not clinicly proven; I would guess that they do better in the morning). The response demonstrates a minimal understanding and analysis of the problem. |
| Anchor Paper #2 |
Score for Anchor Paper #2: Rubric Score 1 Annotation: This response indicates little attempt to apply a reasonable strategy. The modes for both the morning and afternoon classes are correct. However, the means and medians are all incorrect. The justification for students in the morning classes getting better grades is missing. The response demonstrates a minimal understanding and analysis of the problem. |
| Anchor Paper #3 |
Score for Anchor Paper #3: Rubric Score 2 Annotation: This response indicates an incomplete application of a reasonable strategy. The median and mode are correct for the morning classes but the mean is incorrect. For the afternoon classes, the mode is correct but the mean and median are incorrect. The justification (according to the mean (81.2) and median (82) of the first class, they ranked higher than the second class (72.15 and 79)) supports the solution that the morning classes get better grades. Although some of the values used in the justification are incorrect, the relationship between the values still supports the solution. The response demonstrates a conceptual understanding and analysis of the problem. |
| Anchor Paper #4 |
Score for Anchor Paper #4: Rubric Score 2 Annotation: This response indicates an incomplete application of a reasonable strategy. All the values given for the means, medians, and modes are correct. The justification for students getting better grades in the morning classes is missing. The response demonstrates a conceptual understanding and analysis of the problem. |
| Anchor Paper #5 |
Score for Anchor Paper #5: Rubric Score 2 Annotation: This response indicates an incomplete application of a reasonable strategy. With the exception of the morning median, all the values given are correct. The justification (the average was higher in the morning classes) supports the solution that students get better grades in the morning. The response demonstrates a conceptual understanding and analysis of the problem. |
| Anchor Paper #6 |
Score for Anchor Paper #6: Rubric Score 3 Annotation: This response indicates application of a reasonable strategy that leads to a correct solution in the context of the problem. All the values given for the means, medians and modes are correct. The justification (the morning class mean was 85 and the median was 82 while the afternoon class mean was 77.5 and median was 79) is fully developed and supports the solution that the morning classes get better grades. In addition, the student also justifies why the mode being higher in the afternoon classes does not mean that the afternoon classes get better grades. The response demonstrates a complete understanding and analysis of the problem. |
| Anchor Paper #7 |
Score for Anchor Paper #7: Rubric Score 3 Annotation: This response indicates application of a reasonable strategy that leads to a correct solution in the context of the problem. All the values given for the means, medians and modes are correct. The justification (the mean for the morning class is 9.55 better than the afternoon classes; the median is 4.5 better) is fully developed and supports the solution that the morning classes get better grades. The response demonstrates a complete understanding and analysis of the problem. |
| Anchor Paper #8 |
Score for Anchor Paper #8: Rubric Score 3 Annotation: This response indicates application of a reasonable strategy that leads to a correct solution in the context of the problem. All the values given for the means, medians and modes are correct. The justification (the mean and median are higher but the mode is lower) is fully developed and supports the solution that the morning classes get better grades. The response demonstrates a complete understanding and analysis of the problem. |
Additional Resources |
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Brief Constructed Response (BCR) Rubric |
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| Print: Scoring Rubric (pdf) | ||||||
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Resources for 3.1.2: Skill Statements | PUBLIC RELEASE ITEMS | Lesson Plans | |