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 S-ID.2, Claim 1; S-ID.3, Claim 1; S-ID.2, Claim 4D; S-ID.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 | S-ID.2/Claim 1 S-ID.3/Claim 1 S-ID.2/Claim 4D S-ID.3/Claim | A 4-point 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 3-point 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 2-point 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 1-point 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 0-point 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 S-ID.2, Claim 1; S-ID.3, Claim 1; S-ID.2, Claim 4D; S-ID.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.
|