ATLAS Grade 6 Statistics and Probability Practice

Statistics and Probability skills

Recognize a statistical question as one that anticipates variability in the data related to the question

Understand that a set of data collected to answer a statistical question has a distribution

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

Summarize numerical data sets in relation to their context

Standards basis

Arkansas Academic Standards for Mathematics (CCSS-M–aligned / Arkansas-adopted math standards) — Arkansas

How the ATLAS reports it

Arkansas’s statewide assessment system is ATLAS, which the ADE page says began serving in spring 2024. The official public page does not publish a math blueprint there, so the most defensible coverage map is the Arkansas math standards structure that ATLAS is aligned to.

Blueprint & weighting

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

Official sources

Arkansas DESE Assessment: Test Scores
Arkansas DESE home page
Arkansas DESE: 3–10 ATLAS Content Assessments

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Practice playeasy

A student tracked minutes spent studying each night for $16$ nights. The frequency table shows the results.
$\begin{array}{c|c} \text{Minutes studied} & \text{Number of nights} \\ \hline 10 & 2 \\ 20 & 4 \\ 30 & 3 \\ 40 & 5 \\ 50 & 2 \end{array}$

What is the median number of minutes studied per night?

Expand to $16$ values: $10, 10, 20, 20, 20, 20, 30, 30, 30, 40, 40, 40, 40, 40, 50, 50$ . The $8$ th and $9$ th values are both $30$ , so the median is $30$ minutes.

Practice playeasy

The statistical question "How many minutes is your ride to school?" produced the data $3, 8, 10, 15$ . What is the range of the data?

The range describes the spread: greatest value minus least value. $15 - 3 = 12$ .

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 playmedium

A cyclist records five ride distances, in miles: $12$ , $15$ , $18$ , $21$ , and $24$ . Another ride distance is added to the data set, but its length is not given. How does this affect the mean?

The mean of the five known distances can be found, but the effect of the change depends on the unknown sixth distance. Without that value, the new mean cannot be determined.

Practice playeasy

Seven morning temperatures, in degrees Fahrenheit, are $62\textsf{,}$ $64\textsf{,}$ $66\textsf{,}$ $75\textsf{,}$ $70\textsf{,}$ $72\textsf{,}$ and $67\textsf{.}$ What is the mean temperature?

Mean $= \dfrac{62 + 64 + 66 + 75 + 70 + 72 + 67}{7} = \dfrac{476}{7} = 68$ .

Practice playeasy

Find the median of 2, 4, 6, 8.

Order the data and take the middle value(s): median $= 5$ .

Practice playeasy

Five afternoon temperatures, in degrees Fahrenheit, are $64\textsf{,}$ $78\textsf{,}$ $72\textsf{,}$ $60\textsf{,}$ and $66\textsf{.}$ What is the median temperature?

In order, the values are $60\textsf{,}$ $64\textsf{,}$ $66\textsf{,}$ $72\textsf{,}$ $78\textsf{.}$ The median is the middle value, $66\textsf{.}$

Practice playeasy

A shipping clerk weighed $14$ packages. The frequency table shows each weight and how many packages had that weight.
$\begin{array}{c|c} \text{Weight (lb)} & \text{Number of packages} \\ \hline 2 & 3 \\ 7 & 2 \\ 12 & 5 \\ 17 & 2 \\ 22 & 2 \end{array}$

What is the median package weight?

There are $14$ weights. Listing every weight from least to greatest, the $7$ th and $8$ th values are both $12$ , so the median is $12$ pounds.

ATLAS Grade 6 Statistics and Probability. Practice it free.

Statistics and Probability skills

Recognize a statistical question as one that anticipates variability in the data related to the question

Understand that a set of data collected to answer a statistical question has a distribution

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

Summarize numerical data sets in relation to their context

Topics mapped to this domain

Central Measures from Tally Charts (ACT)

Describing a Data Distribution

Identifying Statistical Questions

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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