WVGSA Grade 6 Statistics and Probability Practice

Statistics and Probability skills

Recognize statistical questions.

Describe distributions by center, spread, and shape.

Understand measures of center.

Display data with dot plots, histograms, and box plots.

Summarize data in context, including measures of center and pattern.

Standards basis

West Virginia College- and Career-Readiness Standards for Mathematics (WVBE Policy 2520.2B) — West Virginia

How the WVGSA reports it

West Virginia’s General Summative Assessment is a state assessment aligned to the West Virginia College- and Career-Readiness Standards rather than a separate national assessment framework. The math blueprint follows CCSS-style grade-band domains and clusters, but the standards are the state’s own West Virginia College- and Career-Readiness Standards.

Blueprint & weighting

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

Official sources

West Virginia Department of Education: General Summative Assessment
West Virginia Department of Education: Grade 3 Mathematics Standards
West Virginia Department of Education: Grade 4 Mathematics Standards

8 free questions · 0/0 correct

Practice playeasy

The table shows quiz scores and how many students earned each score.
$\begin{array}{c|c} \text{Quiz score} & \text{Number of students} \\ \hline 62 & 2 \\ 68 & 3 \\ 74 & 5 \\ 80 & 3 \\ 86 & 3 \end{array}$

What is the median quiz score?

There are $16$ scores. Listing every score from least to greatest, the $8$ th and $9$ th values are both $74$ , so the median is $74$ .

Practice playeasy

Students answered the statistical question "How many books did you read this summer?" The data are $2, 5, 6, 9$ . What is the range of the data?

The range describes the spread: greatest value minus least value. $9 - 2 = 7$ .

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 playeasy

A runner logs five lap times, in seconds: $18$ , $20$ , $22$ , $24$ , and $26$ . A sixth lap time of $16$ seconds is added to the data set. How does this affect the mean?

The mean of the original five times is $\dfrac{18+20+22+24+26}{5}=22$ seconds. Because $16<22$ , adding $16$ pulls the mean down.

Practice playeasy

Seven game scores are $14\textsf{,}$ $18\textsf{,}$ $10\textsf{,}$ $20\textsf{,}$ $12\textsf{,}$ $15\textsf{,}$ and $23\textsf{.}$ What is the mean score?

Mean $= \dfrac{14 + 18 + 10 + 20 + 12 + 15 + 23}{7} = \dfrac{112}{7} = 16$ .

Practice playeasy

Find the mean of the data set 3, 8, 10.

Mean $= \dfrac{3+8+10}{3} = 7$ .

Practice playeasy

The practice times, in minutes, for five days are $35\textsf{,}$ $15\textsf{,}$ $20\textsf{,}$ $40\textsf{,}$ and $25\textsf{.}$ What is the median practice time?

In order, the values are $15\textsf{,}$ $20\textsf{,}$ $25\textsf{,}$ $35\textsf{,}$ $40\textsf{.}$ The median is the middle value, $25\textsf{.}$

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.

WVGSA Grade 6 Statistics and Probability. Practice it free.

Statistics and Probability skills

Recognize statistical questions.

Describe distributions by center, spread, and shape.

Understand measures of center.

Display data with dot plots, histograms, and box plots.

Summarize data in context, including measures of center and pattern.

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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