NAEP Grade 8 Data Analysis, Statistics, and Probability Practice

Data Analysis, Statistics, and Probability skills

graphical displays

statistics

data interpretation

probability concepts

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%.

Official sources

National Center for Education Statistics
National Center for Education Statistics
National Center for Education Statistics

8 free questions · 0/0 correct

Practice playeasy

What is the probability of drawing a red ball from 2 red and 3 blue? Give a simplified fraction.

$P = \dfrac{\text{favorable}}{\text{total}} = \dfrac{2}{5} = \dfrac{2}{5}$ .

Practice playeasy

In a random sample of 50, 15 were defective bulbs. Estimate how many of 400 are defective in the whole population.

Proportion $= \dfrac{15}{50}$ . Estimate $= \dfrac{15}{50} \times 400 = 120$ .

Practice playeasy

Two fair coins are flipped. How many outcomes are in the sample space?

Each coin has $2$ outcomes, so the sample space has $2 \times 2 = 4$ outcomes: HH, HT, TH, TT.

Practice playmedium

A school raffle has $50$ identical tickets sold. Maya buys $5$ of the tickets. One winning ticket is drawn at random. What is the probability that Maya wins?

Maya holds $5$ of the $50$ tickets, so $P(\text{Maya wins}) = \dfrac{5}{50} = \dfrac{1}{10}$ .

Practice playeasy

Each letter of the word EQUATION is written on a separate card, and one card is drawn at random. What is the probability the letter is not a vowel?

EQUATION has $8$ letters, and $3$ of them ( $Q, T, N$ ) are consonants, so $P = \dfrac{3}{8}$ .

Practice playeasy

The whole numbers $1$ through $30$ were each written on separate pieces of paper. Those $30$ pieces were placed in a bowl. One piece will be randomly drawn from this bowl. What is the probability that the piece will show a composite number?

Composite numbers from $1$ to $30$ exclude $1$ (neither prime nor composite) and the $10$ primes (including $2$ , the only even prime), leaving $19$ favorable outcomes: $P = \tfrac{19}{30}$ .

Practice playmedium

A bag contains $4$ red marbles and $6$ blue marbles. One marble is drawn at random, its color is recorded, and it is placed back in the bag. A second marble is then drawn at random. What is the probability that both marbles are red?

With replacement, each draw is independent: $P(\text{red}) = \dfrac{4}{10} = \dfrac{2}{5}$ . So $P(\text{both red}) = \dfrac{2}{5} \times \dfrac{2}{5} = \dfrac{4}{25}$ .

Practice playeasy

A shipping clerk weighed $14$ packages. The frequency table shows each weight and how many packages had that weight.
$\begin{array}{c|c} \text{Weight (lb)} & \text{Number of packages} \\ \hline 2 & 3 \\ 7 & 2 \\ 12 & 5 \\ 17 & 2 \\ 22 & 2 \end{array}$

What is the median package weight?

There are $14$ weights. Listing every weight from least to greatest, the $7$ th and $8$ th values are both $12$ , so the median is $12$ pounds.

NAEP Grade 8 Data Analysis, Statistics, and Probability. Practice it free.

Data Analysis, Statistics, and Probability skills

graphical displays

statistics

data interpretation

probability concepts

mathematical reasoning with data

Topics mapped to this domain

Probability of simple events

Sampling and inference

Compound probability

One-event probability word problems

Probability basics

Probability from number sets

Two-event compound probability word problems

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

8 free questions · 0/0 correct

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

More Grade 8 domains