Forward Grade 7 Statistics & Probability Practice

Statistics & 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

Find and compare probabilities of compound events

Use data from random samples to estimate population parameters

Standards basis

Wisconsin Standards for Mathematics — Wisconsin

How the Forward reports it

Wisconsin’s Forward Exam is a state assessment designed to measure students against the recently updated Wisconsin Academic Standards, rather than a separate national framework. The official Forward Exam page confirms the math assessment is administered in grades 3-8 and is aligned to the Wisconsin Academic Standards, but it does not publish a math-specific blueprint on the page itself.

Blueprint & weighting

Not published in the official Forward Exam page content available here. The page confirms alignment to Wisconsin Academic Standards and administration in grades 3-8, but no math blueprint percentages or reporting-category weights are provided on the page content retrieved.

Official sources

Wisconsin DPI Forward Exam
Wisconsin DPI Mathematics in Wisconsin

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

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

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

Practice playeasy

A bowl contains $4$ lemons and $9$ limes. One piece of fruit is chosen at random. What is the probability that the fruit is a lime?

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

Practice playeasy

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

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

Practice playeasy

The whole numbers $1$ through $24$ were each written on separate cards. Those $24$ 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 $15$ ?

Numbers greater than $15$ from $1$ to $24$ are $16, 17, 18, 19, 20, 21, 22, 23, 24$ , giving $9$ favorable outcomes: $P = \tfrac{9}{24} = \tfrac{3}{8}$ .

Practice playeasy

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

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

Practice playmedium

A standard six-sided number cube is rolled twice. What is the probability of rolling a $4$ on the first roll and an even number on the second roll?

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

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

Forward Grade 7 Statistics & Probability. Practice it free.

Statistics & 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

Find and compare probabilities of compound events

Use data from random samples to estimate population parameters

Topics mapped to this domain

Sampling and inference

Compound probability

One-event probability word problems

Probability basics

Probability from number sets

Probability of simple events

Two-event compound probability word problems

8 free questions · 0/0 correct

Turn statistics & probability into game time.

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