NC EOG/EOC Grade 7 Statistics and Probability Practice

What the test measures

Statistics and Probability skills

Use random sampling to draw inferences about a population and compare two populations
Investigate chance processes and develop, use, and evaluate probability models, including compound events

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)

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

A random sample of 12 contained 3 successes. What is the sample proportion (as a simplified fraction)?

Proportion $= \dfrac{3}{12} = \dfrac{1}{4}$ .

Practice playeasy

A meal has 3 mains and 4 sides. How many different (main, side) combinations are possible?

By the multiplication principle: $3 \times 4 = 12$ .

Practice playeasy

A standard six-sided number cube is rolled once. What is the probability of rolling an odd number?

The odd faces are $1$ , $3$ , and $5$ , so $P(\text{odd}) = \dfrac{3}{6} = \dfrac{1}{2}$ .

Practice playeasy

A spinner has $5$ equal sections: $1$ red, $2$ blue, and $2$ green. What is the probability the spinner does not land on red?

Four of the five equal sections are not red, so $P = \dfrac{4}{5}$ .

Practice playeasy

The whole numbers $1$ through $36$ were each written on separate cards. Those $36$ cards were placed in a bag. One card will be randomly drawn from this bag. What is the probability that the card will show a two-digit number?

Two-digit numbers from $1$ to $36$ are $10$ through $36$ , giving $27$ favorable outcomes: $P = \tfrac{27}{36} = \tfrac{3}{4}$ .

Practice playeasy

What is the probability of flipping heads on a coin? Give a simplified fraction.

$P = \dfrac{\text{favorable}}{\text{total}} = \dfrac{1}{2} = \dfrac{1}{2}$ .

Practice playeasy

Mia can pick from $5$ shirts and $2$ hats. How many outcomes are in the sample space of (shirt, hat) outfits?

A tree diagram starts with $5$ branches for the shirts. Each of those splits into $2$ hat branches, so the sample space has $5 \times 2 = 10\textsf{.}$