The following 14 Sample Student Responses represent a range of score points.

Score for Sample Student Response #1: Rubric Score 1

Annotation: This response indicates little attempt to apply a reasonable strategy. The answers for the mean, median, and mode are all incorrect. The amount of money a consumer must spend ($14) is not based on a measure of central tendency and is the least amount of money it would take to receive all five game pieces. The student correctly chooses the mean as the measure that will be most affected by leaving out data point 26 and justifies this answer by stating that the mean will decrease. The response demonstrates a minimal understanding and analysis of the problem.

Score for Sample Student Response #2: Rubric Score 2

Annotation: This response indicates an incomplete application of a reasonable strategy. The answers for the mean, median, and mode are all correct. A correct answer for the amount of money a consumer must spend ($30.80) is given, but the justification is not addressed. The student correctly states that removing data point 26 would have a greater influence on the mean. However, the justification is incomplete because no indication of the impact on the mean is given. The response shows a conceptual understanding and analysis of the problem.

Score for Sample Student Response #3: Rubric Score 1

Annotation: This response indicates little attempt to apply a reasonable strategy. The answers for the mean, median, and mode are all correct. A correct answer with justification is given for the amount of money a consumer must spend. Although the student first incorrectly gives ($29.26), the correct answer is provided ($29.96) at the end of the response. The justification uses a measure of central tendency (multipling the cost per box times the mean). The response does not address the data point of 26. The response demonstrates a minimal understanding and analysis of the problem.

Score for Sample Student Response #4: Rubric Score 3

Annotation: This response indicates application of a reasonable strategy that leads to a correct solution in the context of the problem. The answers for the mean, median, and mode are all correct. The response to the amount of money a consumer must spend ($25.20) is correct and is justified (I used the median). The student correctly chooses the mean as the measure that will be most influenced if data point 26 is ignored. The justification is clearly presented and fully developed (9.89 has a difference of .81 from the original mean. However, if you took off 26, and found the median, 9 is still the median.) The response demonstrates a complete understanding and analysis of the problem. Compare to Anchor Paper #8.

Score for Sample Student Response #5: Rubric Score 1

Annotation: This response indicates little attempt to apply a reasonable strategy. The mode is correct, but both the mean and median are incorrect. The response to the amount of money a consumer must spend gives a correct answer (25.20); however, no justification is given. The response to the third part of the question is missing. The response demonstrates a minimal understanding and analysis of the problem. Compare to Anchor Paper #2.

Score for Sample Student Response #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. The answers for the mean, median, and mode are all correct. The amount of money a consumer must spend ($25.20) is correct, and the justification is clearly presented, with the student multiplying $2.80 x 9 because 9 is the median and the mode. The student correctly chooses the mean as the measure that will be most affected if data point 26 is ignored. A fully developed justification is given. The student states what the mean and median would be without data point 26 and clearly shows that the mean would decrease and the median would stay the same. (The median does not change [it stays 9] while the mean is less by .81.) The response demonstrates a complete understanding and analysis of the problem. Compare to Anchor Paper #8.

Score for Sample Student Response #7: Rubric Score 2

Annotation: This response indicates an incomplete application of a reasonable strategy. The answers for the mean, median, and mode are all correct. Although the amount of money a consumer must spend ($14) is not based on a measure of central tendency and is the least amount of money it would take to receive all five game pieces, it is relevant to the question. The student correctly states that removing data point 26 would have a greater influence on the mean. The justification (26 is an outlier that raised the mean) supports the solution. The response shows a conceptual understanding and analysis of the problem. Compare to Anchor Paper #4.

Score for Sample Student Response #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. The answers for the mean, median, and mode are all correct. The response to the amount of money a consumer must spend ($25.20) is correct and is justified. (I got this result by multiplying $2.80 by 9 [the median and mode of the data].) The student correctly chooses the mean as the measure that will be most influenced if data point 26 is ignored. The justification is clearly presented and fully developed. (The median will remain the same. The mean would become 9.9.) The response demonstrates a complete understanding and analysis of the problem. Compare to Anchor Paper #7.

Score for Sample Student Response #9: Rubric Score 1

Annotation: This response indicates little attempt to apply a reasonable strategy. The answers for the mean, median, and mode are all correct. A correct answer (25.2) is given for the amount of money a consumer must spend and is justified by using a measure of central tendency (take the mode and multiply by 2.80). The data point of 26 is not addressed. The response demonstrates a minimal understanding and analysis of the problem. Compare to Anchor Paper #1.

Score for Sample Student Response #10: Rubric Score 3

Annotation: This response indicates application of a reasonable strategy that leads to a correct solution in the context of the problem. The answers for the mean, median, and mode are all correct. The response to the amount of money a consumer must spend gives two correct answers with a fully developed justification; ($29.96) is justified by stating that this is the cost using the mean, and ($25.20) is justified by stating that this is the cost using the median or mode. The student correctly chooses the mean as the measure that will be most affected if data point 26 is ignored. A fully developed justification is given when the student states (since 26 is an outlier, it really adds to the mean since a mean is an average of all the data, while the median will still be 9 in this situation). The response demonstrates a complete understanding and analysis of the problem. Compare to Anchor Paper #8.

Score for Sample Student Response #11: Rubric Score 2

Annotation: This response indicates an incomplete application of a reasonable strategy. The answers for the mean, median, and mode are all correct. The amount of money a consumer must spend ($14) is not based on a measure of central tendency and is the least amount of money it would take to receive all five game pieces. The student correctly states that removing data point 26 would have a greater influence on the mean. Because no indication is given of the impact it would have on the mean, the justification (Ignoring the data point of 26 will effect the mean but not the median.) is incomplete. The response shows a conceptual understanding and analysis of the problem. Compare to Anchor Paper #5.

Score for Sample Student Response #12: Rubric Score 1

Annotation: This response indicates little attempt to apply a reasonable strategy. The answers for the mean, median, and mode are all correct. The amount of money a consumer must spend ($14) is not based on a measure of central tendency and is simply the least amount of money it would take to receive all five game pieces. The data point of 26 is not addressed. The response demonstrates a minimal understanding and analysis of the problem. Compare to Anchor Paper #1.

Score for Sample Student Response #13: Rubric Score 2

Annotation: This response indicates an incomplete application of a reasonable strategy. The answers for the mean, median, and mode are all correct. The amount of money a consumer must spend ($14) is not based on a measure of central tendency and is the least amount of money it would take to receive all five game pieces. The student correctly states that removing data point 26 would have a greater influence on the mean, justified by (it would bring the average down), but does not address the median. The response shows a conceptual understanding and analysis of the problem. Compare to Anchor Paper #4.

Score for Sample Student Response #14: Rubric Score 3

Annotation: This response indicates application of a reasonable strategy that leads to a correct solution in the context of the problem. The answers for the mean, median, and mode are all correct. The amount of money a consumer must spend ($25.20) is correct, and the justification is fully developed. (I used the mode because it's the central tendency that appears the most. I multiplied how much a box of cereal costs by the mode.) The student correctly chooses the mean as the measure that will be most affected if data point 26 is ignored, and the justification supports the solution (the mean would become 9.9 but the median would still stay the same). The response demonstrates a complete understanding and analysis of the problem. Compare to Anchor Paper #7.

Anchor Papers used in scoring