NAEP Grade 12 Data Analysis, Statistics, and Probability. Practice it free.

This area includes graphical displays and statistics. This Grade 12 reporting domain maps to 16 practice skills and 8 representative questions from the playable bank.

Grade 1216 mapped skills
What the test measures

Data Analysis, Statistics, and Probability skills

  1. graphical displays

  2. statistics

  3. probability

  4. data interpretation

  5. analysis of models and data

  6. mathematical reasoning with data

Standards basis

NAEP Mathematics Framework (National Assessment Governing Board framework; not a CCSS-M/state standards test blueprint) — national

How the NAEP reports it

NAEP mathematics is organized by the National Assessment Governing Board’s framework, not by state standards. The current framework assesses Grades 4, 8, and 12 and uses five content areas, with item distributions and complexity levels specified in the official framework; it is a national assessment and not aligned to Common Core as a governing blueprint, though it reflects broadly modern school math expectations.

Blueprint & weighting

Published item distribution by grade and content area: Grade 4 — Number Properties and Operations 40%, Measurement 20%, Geometry 15%, Data Analysis/Statistics/Probability 10%, Algebra 15%; Grade 8 — Number Properties and Operations 20%, Measurement 15%, Geometry 20%, Data Analysis/Statistics/Probability 15%, Algebra 30%; Grade 12 — Number Properties and Operations 10%, Measurement and Geometry 30%, Data Analysis/Statistics/Probability 25%, Algebra 35%.

Practice by skill

Topics mapped to this domain

Probability of simple events

Grade 716 questions

Interpreting data displays

Grade 915 questions

Compound probability

Grade 718 questions

One-event probability word problems

Grade 710 questions

Probability basics

Grade 718 questions

Probability from number sets

Grade 710 questions

Two-event compound probability word problems

Grade 710 questions

Compare standard deviation of data sets (ACT)

Grade 910 questions

Comparing means

Grade 710 questions

Comparing medians

Grade 710 questions

Find score from mean

Grade 910 questions

Normal distribution basics

Grade 1015 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

What is the probability of the spinner landing on a shaded section (5 of 8)? Give a simplified fraction.

P=favorabletotal=58=58P = \dfrac{\text{favorable}}{\text{total}} = \dfrac{5}{8} = \dfrac{5}{8}.

Practice playeasy

A histogram has bins 0-9: 4 values, 10-19: 7 values, 20-29: 5 values. How many data values are there in all?

Add bin frequencies: 4+7+5=164+7+5=16.

Practice playeasy

For two independent events, the probability of flipping two heads in a row: P(A)=12P(A)=\tfrac{1}{2}, P(B)=12P(B)=\tfrac{1}{2}. Find P(A and B)P(A \text{ and } B) as a simplified fraction.

Multiply: P(A and B)=12×12=14P(A \text{ and } B) = \tfrac{1}{2} \times \tfrac{1}{2} = \tfrac{1}{4}.

Practice playeasy

A bowl contains 44 lemons and 99 limes. One piece of fruit is chosen at random. What is the probability that the fruit is a lime?

There are 4+9=134 + 9 = 13 pieces of fruit and 99 are limes, so P(lime)=913P(\text{lime}) = \dfrac{9}{13}.

Practice playeasy

A number cube is rolled once. What is the probability of rolling an even number?

Three of the six faces (2,4,62, 4, 6) are even, so P=36=12P = \dfrac{3}{6} = \dfrac{1}{2}.

Practice playeasy

The whole numbers 11 through 2424 were each written on separate cards. Those 2424 cards were placed in a hat. One card will be randomly drawn from this hat. What is the probability that the card will show a number greater than 1515?

Numbers greater than 1515 from 11 to 2424 are 16,17,18,19,20,21,22,23,2416, 17, 18, 19, 20, 21, 22, 23, 24, giving 99 favorable outcomes: P=924=38P = \tfrac{9}{24} = \tfrac{3}{8}.

Practice playmedium

A standard six-sided number cube is rolled twice. What is the probability of rolling a 44 on the first roll and an even number on the second roll?

P(4 on first roll)=16P(4\text{ on first roll}) = \dfrac{1}{6} and P(even on second roll)=36=12P(\text{even on second roll}) = \dfrac{3}{6} = \dfrac{1}{2}. So P(both)=16×12=112P(\text{both}) = \dfrac{1}{6} \times \dfrac{1}{2} = \dfrac{1}{12}.

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: 4,8,12,164, 8, 12, 16
Set B: 6,8,10,12,146, 8, 10, 12, 14
Set C: 7,8,9,10,117, 8, 9, 10, 11
Set D: 2,6,10,14,182, 6, 10, 14, 18

Set C has mean 99 with consecutive values from 77 to 1111, each only one or two units from the center, giving the smallest standard deviation, about 1.41.4. Sets A, B, and D spread farther from their means.

Keep practicing

Turn data analysis, statistics, and probability into game time.

The NAEP placement starts with this test's real coverage map and finds the right difficulty.

Batting Cage game coverBatting CagePlay →Blaster Gate game coverBlaster GatePlay →Blitz Tanks game coverBlitz TanksPlay →Buzzer Beater game coverBuzzer BeaterPlay →
Related Common Core standards
7.SP.C.5HSS.ID.A.17.SP.C.87.SP.C.7HSS.ID.A.2HSS.ID.A.4HSS.CP.A.3HSS.IC.B.4
Data Analysis, Statistics, and Probability in other NAEP grades
Grade 4Grade 8
Source and test overview
All NAEP prepOfficial test source
Reporting categories

More Grade 12 domains

Number Properties and OperationsNumbers are the main tools for describing the world quantitatively; at grade 12 this area continues to include number sense and operations, with more advanced expectations.8 QsPractice →Measurement and GeometryAt grade 12, measurement and geometry are combined for reporting because many measurement topics are geometric in nature.8 QsPractice →AlgebraThis area includes representations and relationships; at grade 12 it emphasizes more advanced algebraic reasoning and application.8 QsPractice →