Author:
Hannah Hynes-Petty
Subject:
Mathematics
Material Type:
Assessment, Homework/Assignment
Level:
High School
Tags:
  • Washington Office of Superintendent of Public Instruction
  • wa-math
    License:
    Creative Commons Attribution
    Language:
    English
    Media Formats:
    Downloadable docs

    Education Standards

    OSPI Statistics and Geometry Instructional Task: Walkathon

    OSPI Statistics and Geometry Instructional Task: Walkathon

    Overview

    This resource was created by the Washington Office of Superintendent of Public Instruction. 

    Task

    OSPI Statistics and Geometry Instructional Task E

    Statistics and Geometry; Standard S-ID.A, Claim 3B; S-ID.A, Claim 1

    Walkathon

    Sam claims that  of the twenty-two juniors at River City High School who participated in a walkathon walked at least ten miles. 

     

     

     

    • Justify or refute Sam’s claim. Show your reasoning using numbers and words.
    • Estimate the typical number of miles the juniors walked. Explain why you chose this value.

    Rubric

    Rubric

    Question Number

    Standard/Claim

    Description

    E

    S-ID.A/Claim 3B

    S-ID.A/Claim 1

    A 2-point response demonstrates reasonable understanding of the standards and claims by doing all the following:

    • States that Sam’s claim is invalid.
    • Provides supporting reasoning using specific numbers from the box plot.
    • States the typical number of miles in the interval (8, 9).

    States the median should be used because the data is skewed.

    A 1-point response demonstrates partial understanding of the standards and claims by doing two of the following:

    • States that Sam’s claim is invalid.
    • Provides supporting reasoning using specific numbers from the box plot.
    • States the typical number of miles in the interval (8, 9).

    States the median should be used because the data is skewed.

    A 0-point response demonstrates almost no understanding of the standards and claims.

     

    OSPI Statistics and Geometry Instructional Task E Exemplar

    OSPI Statistics and Geometry Instructional Task E

    Statistics and Geometry; Standard S-ID.A, Claim 3B; S-ID.A, Claim 1

    Walkathon

    Sam claims that  of the twenty-two juniors at River City High School who participated in a walkathon walked at least ten miles. 

     

     

     

    • Justify or refute Sam’s claim. Show your reasoning using numbers and words.
    • Estimate the typical number of miles the juniors walked. Explain why you chose this value.
    • According to this box plot, over 75% of the students walked under 10 miles since the 3rd quartile appears to be just over 9 miles. This line is represented by the vertical line of the box on the right.
    • The typical number of miles would be just over 8 miles as that is where the median is. Since this data is skewed, the median would be the best measure of central tendency to use.