PSSA Grade 7 Statistics and Probability Practice

Statistics and Probability skills

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

Understand that statistics can be used to gain information about a population by examining a sample of the population

Use measures of center and variability for numerical data from random samples to draw informal comparative inferences

Standards basis

Pennsylvania Academic Standards for Mathematics / Pennsylvania Assessment Anchors and Eligible Content — Pennsylvania

How the PSSA reports it

PSSA is Pennsylvania’s own standards-based, criterion-referenced assessment. Its math reporting structure is built on the Pennsylvania Academic Standards/Assessment Anchors and Eligible Content rather than a separate multi-state framework, and it closely mirrors CCSS-style grade-level domains.

Blueprint & weighting

The official PSSA page lists the Mathematics Test Design and grade-level item/scoring samplers, but the accessible source excerpt did not expose a usable per-domain percentage blueprint; no reliable item-weight table was recoverable from the available primary page text.

Official sources

Pennsylvania Department of Education — Pennsylvania System of School Assessment (PSSA)
Pennsylvania Department of Education — View Standards

8 free questions · 0/0 correct

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 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 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

For two independent events, the probability of rolling two 6's: $P(A)=\tfrac{1}{6}$ , $P(B)=\tfrac{1}{6}$ . Find $P(A \text{ and } B)$ as a simplified fraction.

Multiply: $P(A \text{ and } B) = \tfrac{1}{6} \times \tfrac{1}{6} = \tfrac{1}{36}$ .

PSSA Grade 7 Statistics and Probability. Practice it free.

Statistics and Probability skills

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

Understand that statistics can be used to gain information about a population by examining a sample of the population

Use measures of center and variability for numerical data from random samples to draw informal comparative inferences

Topics mapped to this domain

Compound probability

One-event probability word problems

Probability basics

Probability from number sets

Probability of simple events

Sampling and inference

Two-event compound probability word problems

8 free questions · 0/0 correct

Turn statistics and probability into game time.

More Grade 7 domains