NC EOG/EOC Grade 6 Statistics and Probability Practice

Statistics and Probability skills

Develop understanding of statistical variability

Summarize and describe distributions

Standards basis

North Carolina Standard Course of Study (NCSCOS) — North Carolina

How the NC EOG/EOC reports it

North Carolina’s math assessments are state-developed EOG/EOC tests aligned to the North Carolina Standard Course of Study (NCSCOS) for Mathematics, adopted June 2016, rather than a shared multistate framework. The EOG Grades 3-8 Mathematics Test Specifications and the EOC NC Math 1 and NC Math 3 Test Specifications publish, in Table 1/Table 2, the range of total items by domain (the official domain weight distributions). The NCSCOS K-8 domains carry CCSS domain codes (NC.3.OA, NC.8.F, …) and are CCSS-derived; NC Math 1 and NC Math 3 are integrated high-school EOC courses whose standards carry NC.M1/NC.M3 conceptual-category codes (Number and Quantity, Algebra, Functions, Geometry, Statistics and Probability).

Blueprint & weighting

Published per-domain weight ranges come from the NC DPI EOG/EOC Mathematics Test Specifications (April 2026), Table 1/Table 2 (range of total items by domain). EOG grades 3-5 (Table 1): Operations and Algebraic Thinking 32-36% (g3) / 14-18% (g4) / 9-13% (g5); Number and Operations in Base Ten 9-13% / 25-29% / 25-29%; Number and Operations – Fractions 28-32% / 30-34% / 39-43%; Measurement and Data, Geometry 23-27% / 23-27% / 19-23%. EOG grades 6-8 (Table 2): Ratios and Proportional Relationships 24-28% (g6) / 24-28% (g7) / — (g8); The Number System 20-24% / 8-12% / —; Expressions and Equations 22-26% / 20-24% / —; The Number System, Expressions and Equations (combined) — / — / 24-28%; Functions — / — / 28-32%; Geometry 12-16% / 16-20% / 24-28%; Statistics and Probability 12-16% / 22-26% / 16-20%. EOC (Table 1): NC Math 1 — Number and Quantity and Algebra 36-40%, Functions 32-36%, Geometry 8-12%, Statistics and Probability 18-20%; NC Math 3 — Number and Quantity and Algebra 32-36%, Functions 32-36%, Geometry 20-24%, Statistics and Probability 8-12%.

Official sources

NC DPI End-of-Grade (EOG)
NC DPI 2025-26 EOC Assessment Brief
NC DPI EOG Mathematics Grades 3-8 Test Specifications (April 2026)

8 free questions · 0/0 correct

Practice playeasy

A team answered the statistical question "How many laps did you run?" The data are $8, 2, 9, 3, 6$ . What is the median of the data?

The median describes the center: put the values in order and take the middle. In order: $2, 3, 6, 8, 9$ . The middle value is $6$ .

Practice playeasy

A student is writing questions about trees. Which of these is NOT a statistical question?

A statistical question anticipates variability: many people or things can give different answers. "How tall is this specific tree?" names one tree, so it has one answer. It is not a statistical question.

Practice playmedium

A basketball player recorded points scored in each of $16$ games. The frequency table shows the results.
$\begin{array}{c|c} \text{Points scored} & \text{Number of games} \\ \hline 18 & 2 \\ 21 & 3 \\ 24 & 4 \\ 27 & 4 \\ 30 & 3 \end{array}$

What is the mean number of points scored per game?

Multiply each point total by its frequency and add: $(18 \times 2) + (21 \times 3) + (24 \times 4) + (27 \times 4) + (30 \times 3) = 393$ . With $16$ games, the mean is $\dfrac{393}{16} = 24.5625$ points per game.

Practice playeasy

A weather station records five daily rainfall amounts, in inches: $1$ , $2$ , $3$ , $4$ , and $5$ . The lowest amount, $1$ inch, is removed from the data set. How does this affect the mean?

The mean of the original five amounts is $\dfrac{1+2+3+4+5}{5}=3$ inches. Because $1<3$ , removing the smallest value raises the mean.

Practice playeasy

The ages, in years, of seven students are $10\textsf{,}$ $16\textsf{,}$ $14\textsf{,}$ $8\textsf{,}$ $13\textsf{,}$ $15\textsf{,}$ and $8\textsf{.}$ What is the mean age?

Mean $= \dfrac{10 + 16 + 14 + 8 + 13 + 15 + 8}{7} = \dfrac{84}{7} = 12$ .

Practice playeasy

Find the range of 4, 9, 2, 7.

Range $= \max - \min = 9 - 2 = 7$ .

Practice playeasy

Five quiz scores are $92\textsf{,}$ $68\textsf{,}$ $75\textsf{,}$ $88\textsf{,}$ and $77\textsf{.}$ What is the median score?

In order, the values are $68\textsf{,}$ $75\textsf{,}$ $77\textsf{,}$ $88\textsf{,}$ $92\textsf{.}$ The median is the middle value, $77\textsf{.}$

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 $\dfrac{5 + 7}{2} = 6$ .