Massachusetts Comprehensive Assessment System

2019, Grade 10 Mathematics

Question 14: Constructed-Response

Reporting Category: Statistics and Probability
Standard: Mathematics.AI.S-ID.A.02 - Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.*
Standard: Mathematics.MI.S-ID.A.02 - Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.*
Item Description: Interpret data in a data display and compare the measures of center of the data sets.

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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 Statistics and Probability concepts involved in using statistics appropriate to the shape of the data distribution to compare center and spread of two or more different data sets. The student analyzes a double bar graph and compares measures of center of the data.
4
3	The student response demonstrates a good understanding of the Statistics and Probability concepts involved in using statistics appropriate to the shape of the data distribution to compare center and spread of two or more different data sets. 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 using statistics appropriate to the shape of the data distribution to compare center and spread of two or more different data sets. 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 using statistics appropriate to the shape of the data distribution to compare center and spread of two or more different data sets.
0	The student response contains insufficient evidence of an understanding of the Statistics and Probability concepts involved in using statistics appropriate to the shape of the data distribution to compare center and spread of two or more different data sets to merit any points.

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

Grade 10 Mathematics

Question 9: Number and Quantity

Question 14: Statistics and Probability

Question 30: Geometry

Question 35: Algebra and Functions

Return to the MCAS 2019 Student Work Directory

Last Updated: May 5, 2020