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# Massachusetts Comprehensive Assessment System

 Question 21: Open-Response Reporting Category: Data Analysis, Statistics, and ProbabilityStandard: 5.D.1 - Given a set of data, find the median, mean, mode, maximum, minimum, and range, and apply to solutions of problems. The chart below shows the attendance at a ballpark for the last 5 games.What is the range of attendance for the 5 games? Show or explain how you got your answer.What is the median attendance for the 5 games? Show or explain how you got your answer.The attendance for Game 6 was 861. What is the median attendance for all 6 games? 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 Data Analysis, Statistics, and Probability Strand concepts involved in finding the median and range for a given set of data. The student finds the range and median for a given set of data and determines how new data affects the median.
4
3
The student response demonstrates a good understanding of the Data Analysis, Statistics, and Probability Strand concepts involved in finding the median and range for a given set of data. 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 fair understanding of the Data Analysis, Statistics, and Probability Strand concepts involved in finding the median and range for a given set of data. 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 only minimal understanding of the Data Analysis, Statistics, and Probability Strand concepts involved in finding the median and range for a given set of data.
0 The student response contains insufficient evidence of an understanding of the Data Analysis, Statistics, and Probability Strand concepts involved in finding the median and range for a given set of data to merit any points.

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