PARCC Grades 6-8 Statistics and Probability Practice

Statistics and Probability skills

Develop understanding of statistical variability

Summarize and describe distributions

Investigate patterns of association in bivariate data

Standards basis

Common Core State Standards for Mathematics (CCSS-M) / PARCC Model Content Frameworks — national

How the PARCC reports it

PARCC was a multistate assessment system built around the Common Core-era PARCC mathematics model content frameworks rather than a separate proprietary standards set. Its math structure is organized by grade/course and aligned to CCSS-M content categories and model content frameworks.

Blueprint & weighting

No single published PARCC weighting table was located in the accessible sources used here.

Official sources

PARCC Assessment
Common Core State Standards Initiative

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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

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 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 trend line predicts Mia will spell $18$ words correctly in a spelling bee. She actually spells $21$ words correctly. What is the residual (actual minus predicted)?

Residual $= 21 - 18 = 3$ words.

PARCC Grades 6-8 Statistics and Probability. Practice it free.

Statistics and Probability skills

Develop understanding of statistical variability

Summarize and describe distributions

Investigate patterns of association in bivariate data

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

Scatterplots and trend lines

Two-way tables

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Turn statistics and probability into game time.

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