PSSA Grade 6 Statistics and Probability Practice

Statistics and Probability skills

Develop understanding of statistical variability

Summarize and describe distributions

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

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

Pennsylvania Academic Standards for Mathematics / Pennsylvania Assessment Anchors and Eligible Content — Pennsylvania

How the PSSA reports it

PSSA is Pennsylvania’s own standards-based, criterion-referenced assessment. Its math reporting structure is built on the Pennsylvania Academic Standards/Assessment Anchors and Eligible Content rather than a separate multi-state framework, and it closely mirrors CCSS-style grade-level domains.

Blueprint & weighting

The official PSSA page lists the Mathematics Test Design and grade-level item/scoring samplers, but the accessible source excerpt did not expose a usable per-domain percentage blueprint; no reliable item-weight table was recoverable from the available primary page text.

Official sources

Pennsylvania Department of Education — Pennsylvania System of School Assessment (PSSA)
Pennsylvania Department of Education — View Standards

8 free questions · 0/0 correct

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

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.

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

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 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.

PSSA Grade 6 Statistics and Probability. Practice it free.

Statistics and Probability skills

Develop understanding of statistical variability

Summarize and describe distributions

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

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)

Identifying Statistical Questions

Mean change from data set edits

Mean from a data list

Measures of center and variability

Median from a data list

Describing a Data Distribution

8 free questions · 0/0 correct

Turn statistics and probability into game time.

More Grade 6 domains