Illinois Learning Standards incorporating the Common Core State Standards (CCSS-M) — Illinois
Develop understanding of statistical variability and summarize and describe distributions. This Grades 6-8 reporting domain maps to 9 practice skills and 8 representative questions from the playable bank.
Illinois Learning Standards incorporating the Common Core State Standards (CCSS-M) — Illinois
IAR is Illinois’ state assessment built on the Illinois Learning Standards incorporating the Common Core, and its math design follows the PARCC-style blueprinting approach used for grades 3–8. ISBE’s resources page points to the PARCC mathematics model content frameworks, and the IAR page says the math evidence statements are aligned directly to the Common Core State Standards.
IAR uses the PARCC-derived / Illinois Assessment of Readiness (IAR) framework (by grade domains structure).
Illinois State Board of Education – Illinois Assessment of Readiness
Illinois State Board of Education – Resources
A fitness tracker recorded daily step counts, in thousands of steps, over days. The frequency table shows the results.
What is the mean step count per day?
Multiply each step count by its frequency and add: . With days, the mean is thousand steps.
Students answered the statistical question "How many snacks did you pack?" The data are . What is the mean of the data?
The mean describes the center: add the values and divide by how many there are. , and .
Mia writes three survey questions:
• How many minutes do students in my class spend on homework?
• How many minutes did I spend on homework last night?
• How tall are the players on my team?
How many of the three are statistical questions?
A statistical question anticipates variability. Asking how many minutes students spend on homework, and how tall the players are, both ask about a group, so the answers can differ. Asking how many minutes I spent last night asks about one person on one night, so it has one answer. That makes statistical questions.
A bookstore tracks five daily sales totals, in dollars: , , , , and . A sixth day with sales of is added to the data set. How does this affect the mean?
The mean of the original five totals is dollars. Because the new value equals the current mean, the mean stays .
Five afternoon temperatures, in degrees Fahrenheit, are and What is the mean temperature?
Mean .
Find the mode of the data set 4, 4, 7, 9, 10, 11.
The mode is the value that appears most often. Only appears twice, so the mode is .
Seven morning temperatures, in degrees Fahrenheit, are and What is the median temperature?
In order, the values are The median is the middle value,
A line of best fit for the number of lawns Jaden mows and his savings in dollars is . According to the line, how many dollars did Jaden have saved before mowing any lawns?
At lawns, : the -intercept is the starting savings.
The IAR placement starts with this test's real coverage map and finds the right difficulty.