NJSLA Grade 6 Statistics and Probability Practice

NJSLA Grade 6 Statistics and Probability. Practice it free.

Develop understanding of statistical variability; summarize and describe distributions; recognize that a data distribution may not have a single center; and understand probability concepts. This Grade 6 reporting domain maps to 7 practice skills and 8 representative questions from the playable bank.

Grade 6SP7 mapped skills

Statistics and Probability skills

6.SP.A.1 Recognize a statistical question as one that anticipates variability in the data related to the question

6.SP.A.2 Understand that a set of data collected to answer a statistical question has a distribution

6.SP.B.3 Recognize that a measure of center for a numerical data set summarizes all of its values with a single number

6.SP.B.4 Display numerical data in plots on a number line, including dot plots, histograms, and box plots

6.SP.B.5 Summarize numerical data sets in relation to their context

Standards basis

New Jersey Student Learning Standards for Mathematics (NJSLS-M), aligned to Common Core State Standards for Mathematics (CCSS-M) — New Jersey

How the NJSLA reports it

NJSLA math is built on the New Jersey Student Learning Standards for Mathematics, which closely follow the Common Core domain structure and progressions. The assessment is organized by grade-level and end-of-course reporting aligned to those standards rather than by a separate proprietary framework.

Blueprint & weighting

NJDOE publishes statewide assessment administration information and grade/course coverage, but no official public math-domain weighting blueprint was located in the retrieved primary materials.

Official sources

New Jersey Department of Education - Assessment
New Jersey Department of Education - 2023 NJSLS-Mathematics
NJDOE - Statewide Assessment Testing Schedule 2026-27

8 free questions · 0/0 correct

Practice playmedium

A coach recorded how many goals the team scored in each of $16$ games. The frequency table shows the results.
$\begin{array}{c|c} \text{Goals scored} & \text{Number of games} \\ \hline 1 & 2 \\ 3 & 4 \\ 5 & 4 \\ 7 & 3 \\ 9 & 3 \end{array}$

What is the mean number of goals scored per game?

Multiply each goal total by its frequency and add: $(1 \times 2) + (3 \times 4) + (5 \times 4) + (7 \times 3) + (9 \times 3) = 82$ . With $16$ games, the mean is $\dfrac{82}{16} = 5.125$ goals per game.

Practice playeasy

Four students answered the statistical question "How many letters are in your first name?" The data are $7, 3, 5, 11$ . What is the median of the data?

The median describes the center. With an even number of values, put them in order and average the two middle values. In order: $3, 5, 7, 11$ . The two middle values are $5$ and $7$ , and $\dfrac{5 + 7}{2} = 6$ .

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 weighs five packages at $50$ , $55$ , $60$ , $65$ , and $70$ pounds. The $70$ -pound package is removed from the data set. How does this affect the mean?

The mean of the original five weights is $\dfrac{50+55+60+65+70}{5}=60$ pounds. Because $70>60$ , removing the heaviest package lowers the mean.

Practice playeasy

Five quiz scores are $82\textsf{,}$ $75\textsf{,}$ $90\textsf{,}$ $85\textsf{,}$ and $68\textsf{.}$ What is the mean score?

Mean $= \dfrac{82 + 75 + 90 + 85 + 68}{5} = \dfrac{400}{5} = 80$ .

Practice playeasy

Find the mean of the data set 6, 6, 9, 12, 12.

Mean $= \dfrac{6+6+9+12+12}{5} = 9$ .

Practice playeasy

The ages, in years, of seven students are $12\textsf{,}$ $7\textsf{,}$ $15\textsf{,}$ $9\textsf{,}$ $18\textsf{,}$ $10\textsf{,}$ and $20\textsf{.}$ What is the median age?

In order, the values are $7\textsf{,}$ $9\textsf{,}$ $10\textsf{,}$ $12\textsf{,}$ $15\textsf{,}$ $18\textsf{,}$ $20\textsf{.}$ The median is the middle value, $12\textsf{.}$

Practice playmedium

A survey asked students how many siblings they have. The frequency table shows the responses.
$\begin{array}{c|c} \text{Number of siblings} & \text{Number of students} \\ \hline 0 & 3 \\ 1 & 2 \\ 2 & 4 \\ 3 & 5 \\ 4 & 2 \end{array}$

What is the mean number of siblings per student?

Multiply each sibling count by its frequency and add: $(0 \times 3) + (1 \times 2) + (2 \times 4) + (3 \times 5) + (4 \times 2) = 33$ . With $16$ students, the mean is $\dfrac{33}{16} = 2.0625$ siblings.

NJSLA Grade 6 Statistics and Probability. Practice it free.

Statistics and Probability skills

6.SP.A.1 Recognize a statistical question as one that anticipates variability in the data related to the question

6.SP.A.2 Understand that a set of data collected to answer a statistical question has a distribution

6.SP.B.3 Recognize that a measure of center for a numerical data set summarizes all of its values with a single number

6.SP.B.4 Display numerical data in plots on a number line, including dot plots, histograms, and box plots

6.SP.B.5 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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