ATLAS Algebra II Statistics and Probability Practice

Statistics and Probability skills

Summarize, represent, and interpret data on a single count or measurement variable

Summarize, represent, and interpret data on two categorical and quantitative variables

Make inferences and justify conclusions from sample surveys, experiments, and observational studies

Use probability rules to compute probabilities and evaluate independence and conditional probability

Standards basis

Arkansas Academic Standards for Mathematics (CCSS-M–aligned / Arkansas-adopted math standards) — Arkansas

How the ATLAS reports it

Arkansas’s statewide assessment system is ATLAS, which the ADE page says began serving in spring 2024. The official public page does not publish a math blueprint there, so the most defensible coverage map is the Arkansas math standards structure that ATLAS is aligned to.

Blueprint & weighting

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

Official sources

Arkansas DESE Assessment: Test Scores
Arkansas DESE home page
Arkansas DESE: 3–10 ATLAS Content Assessments

8 free questions · 0/0 correct

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

From a table, 10 are customers who buy AND saw the ad and 25 total are customers who saw the ad. Find the conditional probability of buying given saw the ad (simplified fraction).

$P(A\mid B) = \dfrac{P(A \text{ and } B)}{P(B)} = \dfrac{10}{25} = \dfrac{2}{5}$ .

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 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

A normal distribution has mean $50$ and standard deviation $5$ . What value is 2 standard deviation below the mean?

$50 - 2\times5 = 40$ .

Practice playeasy

A football is kicked from a stadium deck. The equation $d = -16t^2 + 48t + 64$ represents this situation, where $d$ is the height of the football above the field, in feet, $t$ seconds after it is kicked. According to the equation, what is the height, in feet, of the deck from which the football was kicked?

When the kick occurs, $t = 0$ . Substituting gives $d = -16(0)^2 + 48(0) + 64 = 64$ feet.

ATLAS Algebra II Statistics and Probability. Practice it free.

Statistics and Probability skills

Summarize, represent, and interpret data on a single count or measurement variable

Summarize, represent, and interpret data on two categorical and quantitative variables

Make inferences and justify conclusions from sample surveys, experiments, and observational studies

Use probability rules to compute probabilities and evaluate independence and conditional probability

Topics mapped to this domain

Compare standard deviation of data sets (ACT)

Comparing means

Comparing medians

Conditional probability

Find score from mean

Interpreting data displays

Normal distribution basics

Problem solving in context (SAT)

Statistics basics

Two-event conditional probability word problems (SAT)

8 free questions · 0/0 correct

Turn statistics and probability into game time.

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