SOL Grades 6-8 Probability and Statistics Practice

Probability and Statistics skills

represent and interpret data

mean, median, mode, and range

scatter plots and line of best fit

experimental and theoretical probability

Standards basis

Virginia Mathematics Standards of Learning — Virginia

How the SOL reports it

Virginia SOL math is a state-specific assessment program built around the Virginia Mathematics Standards of Learning rather than a shared national test framework. It is aligned to Virginia grade-level and course standards, which are generally CCSS-like in organization but are published as Virginia-specific standards.

Blueprint & weighting

SOL uses the Independent / state-specific framework (by grade domains structure).

Official sources

Virginia Department of Education
VDOE — Standards of Learning for Mathematics (2023 SOL grade/course standards and assessment blueprints)
VDOE — SOL Test Blueprints (per-reporting-category item counts live inside the individual grade/EOC blueprint PDFs)

8 free questions · 0/0 correct

Practice playeasy

A bag holds $4$ red marbles and $5$ green marbles. One marble is drawn at random. What is the probability it is green? Give a simplified fraction.

There are $4 + 5 = 9$ marbles in all and $5$ are green, so $P(\text{green}) = \dfrac{5}{9}$ .

Practice playmedium

A coach recorded how many goals the team scored in each of $16$ games. The frequency table shows the results.
$\begin{array}{c|c} \text{Goals scored} & \text{Number of games} \\ \hline 1 & 2 \\ 3 & 4 \\ 5 & 4 \\ 7 & 3 \\ 9 & 3 \end{array}$

What is the mean number of goals scored per game?

Multiply each goal total by its frequency and add: $(1 \times 2) + (3 \times 4) + (5 \times 4) + (7 \times 3) + (9 \times 3) = 82$ . With $16$ games, the mean is $\dfrac{82}{16} = 5.125$ goals per game.

Practice playeasy

Four students answered the statistical question "How many letters are in your first name?" The data are $7, 3, 5, 11$ . What is the median of the data?

The median describes the center. With an even number of values, put them in order and average the two middle values. In order: $3, 5, 7, 11$ . The two middle values are $5$ and $7$ , and $\dfrac{5 + 7}{2} = 6$ .

Practice playeasy

A shipping clerk weighs five packages at $50$ , $55$ , $60$ , $65$ , and $70$ pounds. The $70$ -pound package is removed from the data set. How does this affect the mean?

The mean of the original five weights is $\dfrac{50+55+60+65+70}{5}=60$ pounds. Because $70>60$ , removing the heaviest package lowers the mean.

Practice playeasy

Five quiz scores are $82\textsf{,}$ $75\textsf{,}$ $90\textsf{,}$ $85\textsf{,}$ and $68\textsf{.}$ What is the mean score?

Mean $= \dfrac{82 + 75 + 90 + 85 + 68}{5} = \dfrac{400}{5} = 80$ .

Practice playeasy

Find the mean of the data set 6, 6, 9, 12, 12.

Mean $= \dfrac{6+6+9+12+12}{5} = 9$ .

Practice playeasy

The ages, in years, of seven students are $12\textsf{,}$ $7\textsf{,}$ $15\textsf{,}$ $9\textsf{,}$ $18\textsf{,}$ $10\textsf{,}$ and $20\textsf{.}$ What is the median age?

In order, the values are $7\textsf{,}$ $9\textsf{,}$ $10\textsf{,}$ $12\textsf{,}$ $15\textsf{,}$ $18\textsf{,}$ $20\textsf{.}$ The median is the middle value, $12\textsf{.}$

Practice playeasy

A jar contains $5$ red tokens and $7$ blue tokens. One token is chosen at random. What is the probability that the token is red?

There are $5 + 7 = 12$ tokens in all and $5$ are red, so $P(\text{red}) = \dfrac{5}{12}$ .

SOL Grades 6-8 Probability and Statistics. Practice it free.

Probability and Statistics skills

represent and interpret data

mean, median, mode, and range

scatter plots and line of best fit

experimental and theoretical probability

Topics mapped to this domain

Probability of simple events

Central Measures from Tally Charts (ACT)

Describing a Data Distribution

Mean change from data set edits

Mean from a data list

Measures of center and variability

Median from a data list

One-event probability word problems

Probability basics

Probability from number sets

Scatterplots and trend lines

8 free questions · 0/0 correct

Turn probability and statistics into game time.

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