NH SAS Grade 6 Statistics and Probability Practice

Statistics and Probability skills

Develop understanding of statistical variability

Summarize and describe distributions displayed in dot plots, histograms, and box plots

Recognize a statistical question and distinguish it from a non-statistical question

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

Standards basis

Common Core State Standards for Mathematics (CCSS-M) / New Hampshire mathematics standards — New Hampshire

How the NH SAS reports it

New Hampshire SAS is the state assessment system, but the official math reporting structure was not accessible from the state page in this session. In practice, New Hampshire’s math assessments are aligned to the state’s K-12 mathematics standards, which closely mirror Common Core grade-level domains and clusters.

Blueprint & weighting

Not published in the accessible source set used here.

Official sources

New Hampshire Department of Education – Assessments
Common Core State Standards for Mathematics
CCSS-M Grade 3 (Oregon ODE reprint)

8 free questions · 0/0 correct

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 $1$ statistical question.

Practice playmedium

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

What is the mean step count per day?

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

Practice playeasy

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

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

Practice playeasy

A bookstore tracks five daily sales totals, in dollars: $10$ , $15$ , $20$ , $25$ , and $30$ . A sixth day with sales of $20$ is added to the data set. How does this affect the mean?

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

Practice playeasy

Five afternoon temperatures, in degrees Fahrenheit, are $68\textsf{,}$ $72\textsf{,}$ $65\textsf{,}$ $74\textsf{,}$ and $71\textsf{.}$ What is the mean temperature?

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

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 $4$ appears twice, so the mode is $4$ .

Practice playeasy

Seven morning temperatures, in degrees Fahrenheit, are $58\textsf{,}$ $80\textsf{,}$ $70\textsf{,}$ $62\textsf{,}$ $72\textsf{,}$ $64\textsf{,}$ and $56\textsf{.}$ What is the median temperature?

In order, the values are $56\textsf{,}$ $58\textsf{,}$ $62\textsf{,}$ $64\textsf{,}$ $70\textsf{,}$ $72\textsf{,}$ $80\textsf{.}$ The median is the middle value, $64\textsf{.}$

Practice playeasy

Coach Rivera brainstorms four questions:

• How many push-ups can each player on my team do?
• How many push-ups did the team captain do today?
• How many sit-ups can each player on my team do?
• How many laps can each player on my team run?

How many of the four are statistical questions?

A statistical question anticipates variability. Asking how many push-ups, sit-ups, or laps each player can do asks about every player, so the answers can differ from player to player. Asking how many push-ups the team captain did today asks about one person on one day, so it has one answer. That makes $3$ statistical questions.

NH SAS Grade 6 Statistics and Probability. Practice it free.

Statistics and Probability skills

Develop understanding of statistical variability

Summarize and describe distributions displayed in dot plots, histograms, and box plots

Recognize a statistical question and distinguish it from a non-statistical question

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

Topics mapped to this domain

Identifying Statistical Questions

Central Measures from Tally Charts (ACT)

Describing a Data Distribution

Mean change from data set edits

Mean from a data list

Measures of center and variability

Median from a data list

8 free questions · 0/0 correct

Turn statistics and probability into game time.

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