SOL Algebra I Statistics and Probability Practice

Statistics and Probability skills

two-variable data

scatter plots and trend lines

bivariate data analysis

summarizing and comparing distributions

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 histogram of daily park visitors has bins 0-19: 5 days, 20-39: 9 days, and 40-59: 2 days. How many more days are in the 20-39 bin than in the 40-59 bin?

Subtract the bin frequencies: $9 - 2 = 7$ .

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.

Practice playeasy

Seven game scores are $14\textsf{,}$ $18\textsf{,}$ $10\textsf{,}$ $20\textsf{,}$ $12\textsf{,}$ $15\textsf{,}$ and $23\textsf{.}$ Which data set has the same mean?

The original mean is $\dfrac{14 + 18 + 10 + 20 + 12 + 15 + 23}{7} = 16$ . The set $10\textsf{,}$ $12\textsf{,}$ $14\textsf{,}$ $16\textsf{,}$ $18\textsf{,}$ $20\textsf{,}$ $22$ also has mean $16$ , so the means match.

Practice playeasy

The ages, in years, of seven students are $12\textsf{,}$ $7\textsf{,}$ $15\textsf{,}$ $9\textsf{,}$ $18\textsf{,}$ $10\textsf{,}$ and $20\textsf{.}$ Which data set has the same median?

In order, the original values have middle value $12$ , so the median is $12$ . The set $5\textsf{,}$ $8\textsf{,}$ $10\textsf{,}$ $12\textsf{,}$ $19\textsf{,}$ $23\textsf{,}$ $27$ also has median $12$ , so the medians match.

Practice playeasy

A swimmer logged $20$ , $24$ , $18$ , $22$ , and $26$ laps on five days of practice. On a sixth day, she swam $x$ laps. The mean number of laps per day over all six days is $23$ . What is the value of $x$ ?

Six days with a mean of $23$ laps total $6 \times 23 = 138$ . Since $20 + 24 + 18 + 22 + 26 = 110$ , $x = 138 - 110 = 28$ .

Practice playeasy

A runner logged the miles she ran on seven consecutive days: $3, 5, 4, 6, 5, 7, 5$ . What is the mean number of miles per day?

Mean $= \dfrac{3 + 5 + 4 + 6 + 5 + 7 + 5}{7} = \dfrac{35}{7} = 5$ miles per day.

Practice playeasy

A box plot summarizes the data 1, 3, 3, 5, 8, 8, 10, 12. Find the median.

Order the data; the middle value is $6.5$ .

Practice playeasy

Four data sets record the number of pages read in four or five sessions. Which set has the least standard deviation?

Set A: $4, 8, 12, 16$
Set B: $6, 8, 10, 12, 14$
Set C: $7, 8, 9, 10, 11$
Set D: $2, 6, 10, 14, 18$

Set C has mean $9$ with consecutive values from $7$ to $11$ , each only one or two units from the center, giving the smallest standard deviation, about $1.4$ . Sets A, B, and D spread farther from their means.