Maine MTA Grades 6-8 Statistics and Probability. Practice it free.

Develops understanding of statistical variability and summarizes, displays, and analyzes data distributions. This Grades 6-8 reporting domain maps to 9 practice skills and 8 representative questions from the playable bank.

Grades 6-89 mapped skills
What the test measures

Statistics and Probability skills

  1. Develop understanding of statistical variability

  2. Summarize and describe distributions

  3. Investigate patterns of association in bivariate data

Standards basis

Common Core State Standards (CCSS-M) — Maine

How the Maine MTA reports it

Maine Through-Year Assessment is Maine’s state assessment program delivered with NWEA MAP Growth item pools and through-year administration. The public sources identify it as a Maine DOE assessment aligned to Common Core State Standards in math, but Maine uses its own through-year blueprint rather than a separate national framework.

Blueprint & weighting

No official per-domain item weighting was located in the Maine DOE public assessment posts or the cited pages. The public Maine DOE materials emphasize a through-year model with fall-to-spring growth measurement rather than a published domain-by-domain blueprint.

Try it now

8 free questions · 0/0 correct

Practice playmedium

A survey asked students how many siblings they have. The frequency table shows the responses.
Number of siblingsNumber of students0312243542\begin{array}{c|c} \text{Number of siblings} & \text{Number of students} \\ \hline 0 & 3 \\ 1 & 2 \\ 2 & 4 \\ 3 & 5 \\ 4 & 2 \end{array}

What is the mean number of siblings per student?

Multiply each sibling count by its frequency and add: (0×3)+(1×2)+(2×4)+(3×5)+(4×2)=33(0 \times 3) + (1 \times 2) + (2 \times 4) + (3 \times 5) + (4 \times 2) = 33. With 1616 students, the mean is 3316=2.0625\dfrac{33}{16} = 2.0625 siblings.

Practice playeasy

Five students answered the statistical question "How many hours did you sleep last night?" The answers were 9,4,11,6,29, 4, 11, 6, 2. What is the median number of hours?

The median describes the center: put the values in order and take the middle. In order: 2,4,6,9,112, 4, 6, 9, 11. The middle value is 66.

Practice playeasy

Which of these is NOT a statistical question?

A statistical question anticipates variability: many people or things can give different answers. "How many pets does my family own?" asks about one family, so it has one answer. It is not a statistical question.

Practice playeasy

A biologist measures five plant heights, in inches: 5858, 6060, 6262, 6464, and 6666. The tallest plant, 6666 inches, is removed from the data set. How does this affect the mean?

The mean of the original five heights is 58+60+62+64+665=62\dfrac{58+60+62+64+66}{5}=62 inches. Because 66>6266>62, removing the largest value lowers the mean.

Practice playeasy

The distances, in miles, run on seven days are 6,6\textsf{,} 8,8\textsf{,} 12,12\textsf{,} 9,9\textsf{,} 14,14\textsf{,} 7,7\textsf{,} and 14.14\textsf{.} What is the mean distance?

Mean =6+8+12+9+14+7+147=707=10= \dfrac{6 + 8 + 12 + 9 + 14 + 7 + 14}{7} = \dfrac{70}{7} = 10.

Practice playeasy

Find the median of 3, 7, 9.

Order the data and take the middle value(s): median =7= 7.

Practice playeasy

Seven test scores are 90,90\textsf{,} 50,50\textsf{,} 80,80\textsf{,} 55,55\textsf{,} 72,72\textsf{,} 60,60\textsf{,} and 83.83\textsf{.} What is the median score?

In order, the values are 50,50\textsf{,} 55,55\textsf{,} 60,60\textsf{,} 72,72\textsf{,} 80,80\textsf{,} 83,83\textsf{,} 90.90\textsf{.} The median is the middle value, 72.72\textsf{.}

Practice playeasy

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

The slope of y=6x+10y = 6x + 10 is 66: the predicted change in free throws for each extra hour of practice.

Keep practicing

Turn statistics and probability into game time.

The Maine MTA placement starts with this test's real coverage map and finds the right difficulty.