AASA Grade 6 Statistics and Probability. Practice it free.

Develop understanding of statistical variability and summarize and describe distributions. This Grade 6 reporting domain maps to 7 practice skills and 8 representative questions from the playable bank.

Grade 67 mapped skills
What the test measures

Statistics and Probability skills

  1. Develop understanding of statistical variability

  2. Summarize and describe distributions

  3. Recognize a statistical question

  4. Display numerical data in plots on a number line

  5. Summarize numerical data sets in relation to their context

Standards basis

Arizona 2016 Mathematics Standards — Arizona

How the AASA reports it

AASA is Arizona’s statewide achievement test for Grades 3-8, and its math item specifications are aligned to Arizona’s 2016 Mathematics Standards rather than a national framework like SBAC or SAT. The public AASA page does not show a fixed common-core-style domain blueprint; instead, the official math coverage is embedded in grade-level item specifications and scoring guides.

Blueprint & weighting

AASA uses the Independent / state-specific framework (by grade domains structure).

Try it now

8 free questions · 0/0 correct

Practice playmedium

A fitness tracker recorded daily step counts, in thousands of steps, over 1414 days. The frequency table shows the results.
Steps (thousands)Number of days5382114143172\begin{array}{c|c} \text{Steps (thousands)} & \text{Number of days} \\ \hline 5 & 3 \\ 8 & 2 \\ 11 & 4 \\ 14 & 3 \\ 17 & 2 \end{array}

What is the mean step count per day?

Multiply each step count by its frequency and add: (5×3)+(8×2)+(11×4)+(14×3)+(17×2)=151(5 \times 3) + (8 \times 2) + (11 \times 4) + (14 \times 3) + (17 \times 2) = 151. With 1414 days, the mean is 1511410.79\dfrac{151}{14} \approx 10.79 thousand steps.

Practice playeasy

A bookstore tracks five daily sales totals, in dollars: 1010, 1515, 2020, 2525, and 3030. A sixth day with sales of 2020 is added to the data set. How does this affect the mean?

The mean of the original five totals is 10+15+20+25+305=20\dfrac{10+15+20+25+30}{5}=20 dollars. Because the new value equals the current mean, the mean stays 2020.

Practice playeasy

Five afternoon temperatures, in degrees Fahrenheit, are 68,68\textsf{,} 72,72\textsf{,} 65,65\textsf{,} 74,74\textsf{,} and 71.71\textsf{.} What is the mean temperature?

Mean =68+72+65+74+715=3505=70= \dfrac{68 + 72 + 65 + 74 + 71}{5} = \dfrac{350}{5} = 70.

Practice playeasy

Find the mode of the data set 4, 4, 7, 9, 10, 11.

The mode is the value that appears most often. Only 44 appears twice, so the mode is 44.

Practice playeasy

Seven morning temperatures, in degrees Fahrenheit, are 58,58\textsf{,} 80,80\textsf{,} 70,70\textsf{,} 62,62\textsf{,} 72,72\textsf{,} 64,64\textsf{,} and 56.56\textsf{.} What is the median temperature?

In order, the values are 56,56\textsf{,} 58,58\textsf{,} 62,62\textsf{,} 64,64\textsf{,} 70,70\textsf{,} 72,72\textsf{,} 80.80\textsf{.} The median is the middle value, 64.64\textsf{.}

Practice playeasy

Students answered the statistical question "How many snacks did you pack?" The data are 3,5,7,133, 5, 7, 13. What is the mean of the data?

The mean describes the center: add the values and divide by how many there are. 3+5+7+13=283 + 5 + 7 + 13 = 28, and 28÷4=728 \div 4 = 7.

Practice playeasy

Jaden lists four questions:

• What is my dog's weight?
• How much do the dogs at the animal shelter weigh?
• How old is my teacher?
• How tall is my desk?

How many of the four are statistical questions?

A statistical question anticipates variability. Asking how much the dogs at the animal shelter weigh asks about a group, so the weights can differ. Asking about one dog, one teacher, or one desk has a single answer. That makes 11 statistical question.

Practice playmedium

A basketball player recorded points scored in each of 1616 games. The frequency table shows the results.
Points scoredNumber of games182213244274303\begin{array}{c|c} \text{Points scored} & \text{Number of games} \\ \hline 18 & 2 \\ 21 & 3 \\ 24 & 4 \\ 27 & 4 \\ 30 & 3 \end{array}

What is the mean number of points scored per game?

Multiply each point total by its frequency and add: (18×2)+(21×3)+(24×4)+(27×4)+(30×3)=393(18 \times 2) + (21 \times 3) + (24 \times 4) + (27 \times 4) + (30 \times 3) = 393. With 1616 games, the mean is 39316=24.5625\dfrac{393}{16} = 24.5625 points per game.

Keep practicing

Turn statistics and probability into game time.

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