NM-MSSA Grades 6, 7 Statistics & Probability Practice

NM-MSSA Grades 6, 7 Statistics & Probability. Practice it free.

Concepts & Procedures reporting category (grades 6-7). Statistics and Probability: statistical variability and distributions (grade 6); random sampling and inferences, comparative inferences, and probability models (grade 7). NM-MSSA core-point share: grade 6 ~9-16%, grade 7 ~15-22%. This Grades 6, 7 reporting domain maps to 14 practice skills and 8 representative questions from the playable bank.

Grades 6, 7Statistics & Probability14 mapped skills

Statistics & Probability skills

Develop understanding of statistical variability

Summarize and describe distributions

Use random sampling to draw inferences about a population

Draw informal comparative inferences about two populations

Investigate chance processes and develop, use, and evaluate probability models

Standards basis

New Mexico Common Core State Standards for Mathematics (NMCCSS / 'NM STEM Ready! Math'; CCSS-M adopted 2010) — New Mexico

How the NM-MSSA reports it

NM-MSSA is New Mexico's statewide summative assessment for Grades 3-8 (mathematics and ELA), administered by Cognia for the New Mexico Public Education Department. It is not built on a national framework (SBAC/NAEP); its items are aligned to the New Mexico Common Core State Standards (NMCCSS) — the CCSS-M that New Mexico adopted in 2010 and re-branded 'NM STEM Ready! Math'. The official math Test Blueprint and the public-facing Mathematics Test Specifications expose a per-grade reporting-category structure whose Concepts & Procedures categories ARE the CCSS-M content domains (Operations & Algebraic Thinking, Number & Operations in Base Ten, etc.), with published point/percentage ranges. This coverage_map was enriched from those two primary documents (the bare resources page transcribed earlier exposed only resource links, not the content structure). Reporting categories are grouped exactly as the blueprint groups them: Grades 3/4/5, Grades 6/7, and Grade 8 (grade 8 replaces Ratios & Proportional Relationships with Functions, matching CCSS). Two mathematical-practices reporting categories (Problem Solving / Reasoning & Argument; Modeling / Structure & Repeated Reasoning) are reported across all grades and are the CCSS Standards for Mathematical Practice (process standards), carried here as a separate per-band domain.

Blueprint & weighting

Published per-grade core-point distributions (NM-MSSA Operational Test Blueprint, Mathematics Test Specifications, Cognia/NMPED 2024). Concepts & Procedures content domains as a percent of the per-grade Concepts & Procedures subtotal — Grade 3: Operations & Algebraic Thinking 32-39%, Number & Operations in Base Ten 8-15%, Number & Operations—Fractions 12-19%, Measurement & Data 24-31%, Geometry 4-11%. Grade 4: 18-25% / 18-25% / 30-37% / 10-17% / 4-11%. Grade 5: 8-15% / 22-29% / 22-29% / 22-29% / 6-13%. Grade 6: Ratios & Proportional Relationships 15-22%, The Number System 22-27%, Expressions & Equations 26-33%, Geometry 9-16%, Statistics & Probability 9-16%. Grade 7: 15-22% / 13-20% / 28-35% / 9-16% / 15-22%. Grade 8: Functions 16-23%, The Number System 5-12%, Expressions & Equations 28-34%, Geometry 18-25%, Statistics & Probability 13-19%. Mathematical Practices are scored independently (Problem Solving/Reasoning & Argument and Modeling/Structure & Repeated Reasoning each >=15% of core points per grade); a small fixed number of practice points from constructed-response rubrics contribute to the overall score. Depth of Knowledge: grades 3-6 DOK1 5-25% / DOK2 50-80% / DOK3 5-30%; grades 7-8 DOK1 0-20% / DOK2 50-80% / DOK3 5-30%.

Official sources

New Mexico Public Education Department — NM-MSSA Resources
NM-MSSA Mathematics Test Blueprint (NMPED, 2025)
NM-MSSA Summative Test Specifications — Mathematics (Cognia, Rev. 2024)

8 free questions · 0/0 correct

Practice playeasy

In a random sample of 30, 9 were left-handed students. Estimate how many of 300 are left-handed in the whole population.

Proportion $= \dfrac{9}{30}$ . Estimate $= \dfrac{9}{30} \times 300 = 90$ .

Practice playeasy

Five students answered the statistical question "How many hours did you sleep last night?" The answers were $9, 4, 11, 6, 2$ . What is the median number of hours?

The median describes the center: put the values in order and take the middle. In order: $2, 4, 6, 9, 11$ . 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 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.

Practice playeasy

A biologist measures five plant heights, in inches: $58$ , $60$ , $62$ , $64$ , and $66$ . The tallest plant, $66$ inches, is removed from the data set. How does this affect the mean?

The mean of the original five heights is $\dfrac{58+60+62+64+66}{5}=62$ inches. Because $66>62$ , removing the largest value lowers the mean.

Practice playeasy

The distances, in miles, run on seven days are $6\textsf{,}$ $8\textsf{,}$ $12\textsf{,}$ $9\textsf{,}$ $14\textsf{,}$ $7\textsf{,}$ and $14\textsf{.}$ What is the mean distance?

Mean $= \dfrac{6 + 8 + 12 + 9 + 14 + 7 + 14}{7} = \dfrac{70}{7} = 10$ .

Practice playeasy

Find the median of 3, 7, 9.

Order the data and take the middle value(s): median $= 7$ .

Practice playeasy

Seven test scores are $90\textsf{,}$ $50\textsf{,}$ $80\textsf{,}$ $55\textsf{,}$ $72\textsf{,}$ $60\textsf{,}$ and $83\textsf{.}$ What is the median score?

In order, the values are $50\textsf{,}$ $55\textsf{,}$ $60\textsf{,}$ $72\textsf{,}$ $80\textsf{,}$ $83\textsf{,}$ $90\textsf{.}$ The median is the middle value, $72\textsf{.}$

NM-MSSA Grades 6, 7 Statistics & Probability. Practice it free.

Statistics & Probability skills

Develop understanding of statistical variability

Summarize and describe distributions

Use random sampling to draw inferences about a population

Draw informal comparative inferences about two populations

Investigate chance processes and develop, use, and evaluate probability models

Topics mapped to this domain

Sampling and inference

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

Compound probability

One-event probability word problems

Probability basics

Probability from number sets

8 free questions · 0/0 correct

Turn statistics & probability into game time.

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