VTCAP Grade 6 Statistics and Probability Practice

VTCAP Grade 6 Statistics and Probability. Practice it free.

Grade 6 Statistics and Probability standards; reported jointly with geometry as the 'Geometry and Statistics and Probability' performance indicator. Blueprint target: 6-10 points (11-19% of the grade 6 test). This Grade 6 reporting domain maps to 7 practice skills and 8 representative questions from the playable bank.

Grade 66.SP7 mapped skills

Statistics and Probability skills

Develop understanding of statistical variability

Summarize and describe distributions

Standards basis

Common Core State Standards for Mathematics (CCSS-M) — Vermont

How the VTCAP reports it

Vermont administered the Smarter Balanced summative through spring 2022, then replaced it with the Cognia-developed Vermont Comprehensive Assessment Program (VTCAP) beginning spring 2023 — this landing slug predates the switch. VTCAP mathematics is an adaptive, CCSS-M-aligned assessment in grades 3-9. It is NOT a Smarter Balanced administration: its reporting categories are groupings of the CCSS grade-level domains (e.g. 'The Number System, Expressions and Equations'), not SBAC claims, though two cross-grade Mathematical Practices indicators ('Problem Solving, Reasoning, and Argument'; 'Modeling, Patterns, and Structure') echo the old claim structure. Per the test specifications, the grades 3-8 test may assess any CCSS-M standard at the grade; the grade 9 test assesses a prioritized subset of the high school CCSS-M within the conceptual categories of Number and Quantity, Algebra, Functions, Geometry, and Statistics and Probability (the assessed focus areas are published in the grade 9 Performance Level Descriptors).

Blueprint & weighting

VTCAP Test Specifications (Spring 2026) operational test blueprint, target percent of points per grade — Grade 3: OA 24-35%, NBT 10-14%, NF 16-20%, MD 22-29%, G 6-10%, constructed-response Mathematical Practices 12%. Grade 4: OA 20-31%, NBT 16-20%, NF 20-31%, MD 12-20%, G 6-10%, practices 12%. Grade 5: OA 14-22%, NBT 14-25%, NF 22-29%, MD 20-27%, G 8-16%, practices 12%. Grade 6: RP 15-22%, NS 15-22%, EE 15-22%, G 11-19%, SP 11-19%, practices 11%. Grade 7: RP 15-22%, NS 11%, EE 15-30%, G 11-19%, SP 19-22%, practices 11%. Grade 8: F 18-29%, NS 7%, EE 20-31%, G 18-29%, SP 18-22%, practices 11%. Grade 9 (all machine-scored): Number and Quantity/Algebra 18-27%, Algebra/Functions 31-40%, Geometry 20-29%, Statistics and Probability 13-20%; the two practices indicators are dual-aligned targets of >18% of points each. Identical figures appear in the Spring 2025 specifications.

Official sources

VTCAP Test Specifications, Spring 2026 (Vermont AOE / Cognia)
VTCAP Test Specifications, Spring 2025 (Vermont AOE / Cognia)
VTCAP Performance Level Descriptors: Mathematics, Grades 3-9 (Vermont AOE)

8 free questions · 0/0 correct

Practice playeasy

A class answered the statistical question "How many pages did you read this week?" The answers were $12, 15, 15, 18, 20, 15$ . How many students were interviewed?

Each answer in the list is one student. Count every value, including repeats: there are $6$ answers, so $6$ students were interviewed.

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 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.

Practice playmedium

Five test scores are $70$ , $78$ , $84$ , $90$ , and $96$ . One score is removed from the data set, but which score was removed is not stated. How does this affect the mean?

The mean of the five given scores can be found, but removing a different score changes the mean in different ways. Without knowing which score was removed, the effect cannot be determined.

Practice playeasy

Seven test scores are $70\textsf{,}$ $75\textsf{,}$ $88\textsf{,}$ $85\textsf{,}$ $90\textsf{,}$ $65\textsf{,}$ and $87\textsf{.}$ What is the mean score?

Mean $= \dfrac{70 + 75 + 88 + 85 + 90 + 65 + 87}{7} = \dfrac{560}{7} = 80$ .

Practice playeasy

Find the range of 10, 3, 15, 6.

Range $= \max - \min = 15 - 3 = 12$ .

Practice playeasy

The distances, in miles, run on seven days are $14\textsf{,}$ $6\textsf{,}$ $20\textsf{,}$ $9\textsf{,}$ $11\textsf{,}$ $18\textsf{,}$ and $6\textsf{.}$ What is the median distance?

In order, the values are $6\textsf{,}$ $6\textsf{,}$ $9\textsf{,}$ $11\textsf{,}$ $14\textsf{,}$ $18\textsf{,}$ $20\textsf{.}$ The median is the middle value, $11\textsf{.}$

Practice playeasy

A club answered the statistical question "How many hours did you practice this week?" The answers were $4, 7, 7, 9, 10, 12, 13$ . How many people were interviewed?

Each answer in the list is one person. Count every value, including repeats: there are $7$ answers, so $7$ people were interviewed.

VTCAP Grade 6 Statistics and Probability. Practice it free.

Statistics and Probability skills

Develop understanding of statistical variability

Summarize and describe distributions

Topics mapped to this domain

Describing a Data Distribution

Identifying Statistical Questions

Central Measures from Tally Charts (ACT)

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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