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.

View item in MCAS Digital Item Library

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 4 Mathematics

Question 3: Number and Operations-Fractions

Question 4: Ratios and Proportional Relationships

Question 4: Measurement and Data

Question 4: Technology/Engineering

Question 5: Earth and Space Science

Question 5: Functions

Question 6: Operations and Algebraic Thinking

Question 6: Technology/Engineering

Question 6: Measurement and Data

Question 8: Expressions and Equations

Question 8: Language and Writing

Question 8: Reading

Question 8: Language and Writing

Question 9: Language and Writing

Question 9: Number and Quantity

Question 12: Ecology

Question 12: Waves and Radiation

Question 12: Expressions and Equations

Question 13: Number and Operations in Base Ten

Question 14: Statistics and Probability

Question 15: Operations and Algebraic Thinking

Question 15: Statistics and Probability

Question 16: Language and Writing

Question 16: Life Science

Question 17: Physical Science

Question 17: Language and Writing

Question 18: Earth and Space Science

Question 18: Language and Writing

Question 23: Motion and Forces

Question 23: Anatomy and Physiology

Question 30: Geometry

Question 32: Biochemistry and Cell Biology

Question 32: Motion and Forces

Question 35: Algebra and Functions

Question 44: Heat and Heat Transfer

Question 44: Evolution and Biodiversity

Question 45: Electromagnetism

Question 45: Genetics

Return to the MCAS 2019 Student Work Directory

Last Updated: May 5, 2020