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# Massachusetts Comprehensive Assessment System

## 2015, Grade 6 Mathematics

Question 17: Open-Response
Zoe recorded the number of hours she worked each day for 5 days. Her data set is shown in the box below.
 4,   8,   2,   3,   8
1. What is the median number of hours Zoe worked for the 5 days? Show or explain how you got your answer.
1. What is the mean number of hours Zoe worked for the 5 days? Show or explain how you got your answer.
Lance also recorded the number of hours he worked each day for 5 days. His data set is shown in the box below.
 2,   2,   3,   5,   8
1. Which measure is the same for both Zoe’s and Lance’s data sets: median, mean, or range? Show or explain how you got your answer.

### Scoring Guide and Sample Student WorkSelect a score point in the table below to view the sample student response.

ScoreDescription
4 The student response demonstrates an exemplary understanding of the Statistics and Probability concepts involved in summarizing numerical data sets in relation to their context. The student finds and compares the median, mean and range of two given data sets.
4
3 The student response demonstrates a good understanding of the Statistics and Probability concepts involved in summarizing numerical data sets in relation to their context. Although there is significant evidence that the student was able to recognize and apply the concepts involved, some aspect of the response is flawed. As a result the response merits 3 points.
2 The student response demonstrates a fair understanding of the Statistics and Probability concepts involved in summarizing numerical data sets in relation to their context. While some aspects of the task are completed correctly, others are not. The mixed evidence provided by the student merits 2 points.
1 The student response demonstrates a minimal understanding of the Statistics and Probability concepts involved in summarizing numerical data sets in relation to their context.
0 The student response contains insufficient evidence of an understanding of the Statistics and Probability concepts involved in summarizing numerical data sets in relation to their context to merit any points.

Note: There are 2 sample student responses for Score Point 4.

### Grade 6 Mathematics

Question 6:
Question 17:

Return to the MCAS 2015 Student Work Directory

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