TCAP Grade 8 Statistics and Probability Practice

What the test measures

Statistics and Probability skills

8.SP.A.1 Construct and interpret scatter plots for bivariate measurement data
8.SP.A.2 Know that straight lines are widely used to model relationships between two quantitative variables
8.SP.A.3 Use a linear function to model a relationship between two quantities
8.SP.A.4 Understand that patterns of association can be seen in bivariate categorical data

Standards basis

Tennessee Academic Standards for Mathematics — Tennessee

How the TCAP reports it

TCAP math is Tennessee’s state assessment program and its blueprints are aligned to Tennessee Academic Standards, which closely mirror the Common Core content structure in grades 3-8 and the CCSS-style high school conceptual categories. The blueprint page lists the current 2025-26 assessment overviews, including Math Grade 2, Grades 3-5, Grades 6-8, and Math EOC. [Tennessee Department of Education](https://www.tn.gov/education/districts/lea-operations/assessment/tcap-blueprints.html)

Blueprint & weighting

Published TCAP math blueprints assign content emphasis by grade/course, but the exact percentage table was not recoverable from the accessible blueprint page in this session. The state blueprint landing page confirms the math overviews but did not expose the PDF links in the fetched page content. [Tennessee Department of Education](https://www.tn.gov/education/districts/lea-operations/assessment/tcap-blueprints.html)

Official sources

Tennessee Department of Education TCAP Blueprints
Tennessee Education Glossary (academic standards entry)

Practice by skill

Topics mapped to this domain

Scatterplots and trend lines

Grade 818 questions

Two-way tables

Grade 815 questions

Try it now

8 free questions · 0/0 correct

Practice playeasy

A line of best fit for the number of lawns Jaden mows $x$ and his savings $y$ in dollars is $y = 15x + 40$ . According to the line, how many dollars did Jaden have saved before mowing any lawns?

At $x = 0$ lawns, $y = 40$ : the $y$ -intercept is the starting savings.

Practice playeasy

A two-way table has rows Bus/Walk and columns 6th/7th: Bus&6th=12, Bus&7th=8, Walk&6th=4, Walk&7th=16. How many chose Bus in total?

Row total for Bus: $12+8=20$ .

Practice playeasy

A trend line for hours studied $x$ and quiz score $y$ is $y = 4x + 62$ . What score does the line predict for a student who studies $3$ hours?

Substitute $x = 3$ : $y = 4(3) + 62 = 12 + 62 = 74$ .

Practice playeasy

A two-way table has rows Bus/Walk and columns 6th/7th: Bus&6th=12, Bus&7th=8, Walk&6th=4, Walk&7th=16. What fraction of all surveyed were Bus and 6th? Simplify.

$\dfrac{12}{40} = \dfrac{3}{10}$ .

Practice playeasy

A trend line predicts that a bakery will sell $75$ bagels on Monday. The bakery actually sells $79$ bagels. What is the residual (actual value minus predicted value)?

Residual $=$ actual $-$ predicted $= 79 - 75 = 4$ .

Practice playeasy

A two-way table has rows Chess/Art and columns 7th/8th: Chess&7th=9, Art&7th=4, Art&8th=11. The Chess row total is 15. How many students are Chess&8th?

Chess row total minus the known Chess cell: $15-9=6$ .

Practice playeasy

A line of best fit relating hours of practice $x$ to free throws made $y$ is $y = 6x + 10$ . According to the line, each additional hour of practice adds about how many free throws?

The slope of $y = 6x + 10$ is $6$ : the predicted change in free throws for each extra hour of practice.

Practice playeasy

A two-way table has rows Bike/Scooter and columns Morning/Afternoon: Bike&Morning=11, Bike&Afternoon=7, Scooter&Morning=5. In all, 29 trips were recorded. How many trips are Scooter&Afternoon?