RISE Grade 6 Statistics and Probability Practice

Statistics and Probability skills

Develop understanding of statistical variability

Summarize and describe distributions

Display numerical data in plots on a number line, including dot plots, histograms, and box plots

Standards basis

Utah Core Standards for Mathematics (CCSS-aligned Utah math standards) — Utah

How the RISE reports it

Utah’s RISE mathematics assessment is a state assessment aligned to Utah Core Standards rather than a separately branded national framework. The official Utah pages point to Utah Core standards resources and the RISE administration guidance, with no separate public math blueprint published on the assessment page itself.

Blueprint & weighting

RISE mathematics weighting by domain was not located on the official Utah assessment page; the official page only points to the RISE assessment overview/administration resources and the Utah Core Standards resources. Grade 6 administration guidance notes a two-segment math test with Segment 1 no calculator and Segment 2 calculator allowed, and the proctor guide states Mathematics has an expected testing time of 90 minutes for most students and 135 minutes for all students.

Official sources

Utah State Board of Education Assessments
Utah State Board of Education Learning Resources for Families
Utah State Board of Education Assessment Contacts PDF

8 free questions · 0/0 correct

Practice playeasy

A clinic recorded customer wait times, in minutes, for $16$ visits. The frequency table shows the results.
$\begin{array}{c|c} \text{Wait time (min)} & \text{Number of customers} \\ \hline 2 & 2 \\ 5 & 3 \\ 8 & 2 \\ 11 & 6 \\ 14 & 3 \end{array}$

What is the median wait time?

Expand to $16$ wait times: $2, 2, 5, 5, 5, 8, 8, 11, 11, 11, 11, 11, 11, 14, 14, 14$ . The $8$ th and $9$ th values are both $11$ , so the median is $11$ minutes.

Practice playeasy

A club answered the statistical question "How many hours did you practice this week?" The answers were $4, 7, 7, 9, 10, 12, 13$ . How many people were interviewed?

Each answer in the list is one person. Count every value, including repeats: there are $7$ answers, so $7$ people were interviewed.

Practice playeasy

A student is writing questions about trees. Which of these is a statistical question?

A statistical question anticipates variability: many people or things can give different answers. "How tall are the trees in the park?" asks about many trees, so the heights can differ. It is a statistical question.

Practice playeasy

A student logs five daily page counts: $20$ , $25$ , $30$ , $35$ , and $40$ . A sixth day with $45$ pages read is added to the data set. How does this affect the mean?

The mean of the original five counts is $\dfrac{20+25+30+35+40}{5}=30$ pages. Because $45>30$ , adding $45$ pulls the mean up.

Practice playeasy

The practice times, in minutes, for five days are $18\textsf{,}$ $22\textsf{,}$ $30\textsf{,}$ $20\textsf{,}$ and $35\textsf{.}$ What is the mean practice time?

Mean $= \dfrac{18 + 22 + 30 + 20 + 35}{5} = \dfrac{125}{5} = 25$ .

Practice playeasy

Find the mean of the data set 1, 4, 4, 7, 9.

Mean $= \dfrac{1+4+4+7+9}{5} = 5$ .

Practice playeasy

Seven game scores are $90\textsf{,}$ $70\textsf{,}$ $82\textsf{,}$ $75\textsf{,}$ $95\textsf{,}$ $60\textsf{,}$ and $88\textsf{.}$ What is the median score?

In order, the values are $60\textsf{,}$ $70\textsf{,}$ $75\textsf{,}$ $82\textsf{,}$ $88\textsf{,}$ $90\textsf{,}$ $95\textsf{.}$ The median is the middle value, $82\textsf{.}$

Practice playmedium

A coach recorded how many goals the team scored in each of $16$ games. The frequency table shows the results.
$\begin{array}{c|c} \text{Goals scored} & \text{Number of games} \\ \hline 1 & 2 \\ 3 & 4 \\ 5 & 4 \\ 7 & 3 \\ 9 & 3 \end{array}$

What is the mean number of goals scored per game?

Multiply each goal total by its frequency and add: $(1 \times 2) + (3 \times 4) + (5 \times 4) + (7 \times 3) + (9 \times 3) = 82$ . With $16$ games, the mean is $\dfrac{82}{16} = 5.125$ goals per game.