




Massachusetts Comprehensive Assessment System
2011, Grade 5 Mathematics
Question 21: OpenResponse 

Reporting Category: Data Analysis, Statistics, and Probability Standard: 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 Work Select a score point in the table below to view the sample student response.
Score  Description 
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.
Grade 5 Mathematics
 Question 8: Measurement
 Question 21: Data Analysis, Statistics, and Probability
Return to the MCAS 2011 Student Work Directory
Last Updated: January 19, 2017


