NC EOG/EOC NC Math 1 Statistics and Probability Practice

NC EOG/EOC NC Math 1 Statistics and Probability. Practice it free.

EOC NC Math 1 domain (18-20% of the test, Table 1). Summarize, represent, and interpret data on a single count or measurement variable and on two categorical and quantitative variables, and interpret linear models (S-ID). This NC Math 1 reporting domain maps to 6 practice skills and 8 representative questions from the playable bank.

NC Math 1S6 mapped skills

Statistics and Probability skills

Summarize, represent, and interpret data on a single count or measurement variable (NC.M1.S-ID.1, NC.M1.S-ID.2, NC.M1.S-ID.3)

Summarize, represent, and interpret data on two categorical and quantitative variables, including fitting a function to data (NC.M1.S-ID.6)

Interpret linear models, including slope, intercept, correlation, and causation (NC.M1.S-ID.7, NC.M1.S-ID.8, NC.M1.S-ID.9)

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

Four data sets show minutes spent on homework each night. Which set has the greatest standard deviation?

Set A: $18, 20, 22, 24, 26$
Set B: $19, 21, 23, 25$
Set C: $15, 20, 25, 30$
Set D: $20, 21, 22, 23, 24$

Set C has mean $22.5$ with values stepping by $5$ from $15$ to $30$ , so each value is far from the center; its standard deviation is about $5.6$ . Sets A and B spread less evenly, and Set D is tightly clustered.

Practice playeasy

Seven game scores are $14\textsf{,}$ $18\textsf{,}$ $10\textsf{,}$ $20\textsf{,}$ $12\textsf{,}$ $15\textsf{,}$ and $23\textsf{.}$ Which data set has the same mean?

The original mean is $\dfrac{14 + 18 + 10 + 20 + 12 + 15 + 23}{7} = 16$ . The set $10\textsf{,}$ $12\textsf{,}$ $14\textsf{,}$ $16\textsf{,}$ $18\textsf{,}$ $20\textsf{,}$ $22$ also has mean $16$ , so the means match.

Practice playeasy

The ages, in years, of seven students are $12\textsf{,}$ $7\textsf{,}$ $15\textsf{,}$ $9\textsf{,}$ $18\textsf{,}$ $10\textsf{,}$ and $20\textsf{.}$ Which data set has the same median?

In order, the original values have middle value $12$ , so the median is $12$ . The set $5\textsf{,}$ $8\textsf{,}$ $10\textsf{,}$ $12\textsf{,}$ $19\textsf{,}$ $23\textsf{,}$ $27$ also has median $12$ , so the medians match.

Practice playeasy

A swimmer logged $20$ , $24$ , $18$ , $22$ , and $26$ laps on five days of practice. On a sixth day, she swam $x$ laps. The mean number of laps per day over all six days is $23$ . What is the value of $x$ ?

Six days with a mean of $23$ laps total $6 \times 23 = 138$ . Since $20 + 24 + 18 + 22 + 26 = 110$ , $x = 138 - 110 = 28$ .

Practice playeasy

A histogram of daily park visitors has bins 0-19: 5 days, 20-39: 9 days, and 40-59: 2 days. How many more days are in the 20-39 bin than in the 40-59 bin?

Subtract the bin frequencies: $9 - 2 = 7$ .

Practice playeasy

A runner logged the miles she ran on seven consecutive days: $3, 5, 4, 6, 5, 7, 5$ . What is the mean number of miles per day?

Mean $= \dfrac{3 + 5 + 4 + 6 + 5 + 7 + 5}{7} = \dfrac{35}{7} = 5$ miles per day.

Practice playeasy

Four data sets record the number of pages read in four or five sessions. Which set has the least standard deviation?

Set A: $4, 8, 12, 16$
Set B: $6, 8, 10, 12, 14$
Set C: $7, 8, 9, 10, 11$
Set D: $2, 6, 10, 14, 18$

Set C has mean $9$ with consecutive values from $7$ to $11$ , each only one or two units from the center, giving the smallest standard deviation, about $1.4$ . Sets A, B, and D spread farther from their means.

Practice playeasy

The ages, in years, of seven students are $10\textsf{,}$ $16\textsf{,}$ $14\textsf{,}$ $8\textsf{,}$ $13\textsf{,}$ $15\textsf{,}$ and $8\textsf{.}$ Which data set has the same mean?

The original mean is $\dfrac{10 + 16 + 14 + 8 + 13 + 15 + 8}{7} = 12$ . The set $6\textsf{,}$ $8\textsf{,}$ $10\textsf{,}$ $12\textsf{,}$ $14\textsf{,}$ $16\textsf{,}$ $18$ also has mean $12$ , so the means match.