 Author:
 Hannah HynesPetty
 Subject:
 Mathematics
 Material Type:
 Assessment, Homework/Assignment
 Level:
 High School
 Tags:
 License:
 Creative Commons Attribution
 Language:
 English, Armenian
 Media Formats:
 Downloadable docs
Education Standards
OSPI Statistics and Geometry Instructional Task: Age Distribution
Overview
This resource was created by the Washington Office of Superintendent of Public Instruction.
Task
OSPI Statistics and Geometry Instructional Task H
Statistics and Geometry; Standard SID.2, Claim 1; SID.3, Claim 1; SID.2, Claim 4D; SID.3, Claim 1
Age Distributions
Random samples of 200 people from Kenya and the United States were taken. A study will compare the age distributions of the two countries. The data collected is represented in the box plots below.
 What measure would be used to compare the centers of these distributions? Explain your reasoning with numbers and words.
 Compare the centers of these distributions and interpret the meaning of these in terms of the population samples.
 Find the interquartile range (IQR) of each sample and explain what a smaller IQR indicates about a country.
 Compare the first quartile of each sample and interpret the meaning of these in terms of the population samples.
Rubric
Rubric
Question Number  Standard/Claim  Description 
H  SID.2/Claim 1 SID.3/Claim 1 SID.2/Claim 4D SID.3/Claim  _{A 4point response demonstrates full and complete understanding of the standards and claims by doing all the following:}
_{States the smaller first quartile for Kenya indicates the lowest 25% of the Kenya sample are younger than US’s.} 
_{A 3point response demonstrates reasonable understanding of the standards and claims by doing six of the following:}
_{States the smaller first quartile for Kenya indicates the lowest 25% of the Kenya sample are younger than US’s.}  
_{A 2point response demonstrates partial understanding of the standards and claims by doing four of the following:}
_{States the smaller first quartile for Kenya indicates the lowest 25% of the Kenya sample are younger than US’s.}  
_{A 1point response demonstrates limited understanding of the standards and claims by doing two of the following:}
_{States the smaller first quartile for Kenya indicates the lowest 25% of the Kenya sample are younger than US’s.}  
_{A 0point response demonstrates almost no understanding of the standards and claims.} 
OSPI Statistics and Geometry Instructional Task H Exemplar
OSPI Statistics and Geometry Instructional Task H Exemplar
Statistics and Geometry; Standard SID.2, Claim 1; SID.3, Claim 1; SID.2, Claim 4D; SID.3, Claim 1
Age Distributions
Random samples of 200 people from Kenya and the United States were taken. A study will compare the age distributions of the two countries. The data collected is represented in the box plots below.
 What measure would be used to compare the centers of these distributions? Explain your reasoning with numbers and words.
 Compare the centers of these distributions and interpret the meaning of these in terms of the population samples.
 Find the interquartile range (IQR) of each sample and explain what a smaller IQR indicates about a country.
 Compare the first quartile of each sample and interpret the meaning of these in terms of the population samples.
