SOL Geometry Statistics and Probability Practice

Statistics and Probability skills

experimental probability

data analysis

simulation and modeling

interpretation of statistical representations

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 box plot summarizes the data 2, 4, 5, 7, 9, 11, 13. Find the minimum.

The minimum of the data is $2$ .

Practice playeasy

Four small data sets are listed below. Which set has the least standard deviation?

Set A: $7, 9, 11, 13$
Set B: $8, 10, 10, 12$
Set C: $5, 10, 10, 15$
Set D: $6, 9, 11, 14$

Set B has mean $10$ with two values at the mean and the others only two units away, giving the smallest standard deviation, about $1.4$ . Sets A, C, and D spread farther from their means.

Practice playeasy

The distances, in miles, run on seven days are $6\textsf{,}$ $8\textsf{,}$ $12\textsf{,}$ $9\textsf{,}$ $14\textsf{,}$ $7\textsf{,}$ and $14\textsf{.}$ Which data set has the same mean?

The original mean is $\dfrac{6 + 8 + 12 + 9 + 14 + 7 + 14}{7} = 10$ . The set $4\textsf{,}$ $6\textsf{,}$ $8\textsf{,}$ $10\textsf{,}$ $12\textsf{,}$ $14\textsf{,}$ $16$ also has mean $10$ , so the means match.

Practice playeasy

Five afternoon temperatures, in degrees Fahrenheit, are $64\textsf{,}$ $78\textsf{,}$ $72\textsf{,}$ $60\textsf{,}$ and $66\textsf{.}$ Which data set has the same median?

In order, the original values have middle value $66$ , so the median is $66$ . The set $61\textsf{,}$ $65\textsf{,}$ $66\textsf{,}$ $77\textsf{,}$ $81$ also has median $66$ , so the medians match.

Practice playeasy

On four science quizzes, Priya earned scores of $85$ , $92$ , $78$ , and $88$ . On a fifth quiz, her score was $x$ . The mean score on all five quizzes is $87$ . What is the value of $x$ ?

Five quizzes with a mean of $87$ total $5 \times 87 = 435$ . Since $85 + 92 + 78 + 88 = 343$ , $x = 435 - 343 = 92$ .

Practice playeasy

A coach records the goals her team scored in seven games: $1, 3, 2, 3, 0, 3, 2$ . What is the mode of the data?

The value $3$ appears three times, more often than any other value, so the mode is $3$ .

Practice playeasy

A dot plot of quiz scores shows 4 dots above 8, 5 dots above 9, and 3 dots above 10. How many quiz scores are shown in all?

Each dot is one score: $4 + 5 + 3 = 12$ .

Practice playeasy

Four data sets show minutes spent on homework each night. Which set has the greatest standard deviation?

Set A: $18, 20, 22, 24, 26$
Set B: $19, 21, 23, 25$
Set C: $15, 20, 25, 30$
Set D: $20, 21, 22, 23, 24$

Set C has mean $22.5$ with values stepping by $5$ from $15$ to $30$ , so each value is far from the center; its standard deviation is about $5.6$ . Sets A and B spread less evenly, and Set D is tightly clustered.