ATLAS Algebra II Statistics and Probability. Practice it free.

Investigates distributions, inferences, and conditional probability. This Algebra II reporting domain maps to 14 practice skills and 8 representative questions from the playable bank.

Algebra II14 mapped skills
What the test measures

Statistics and Probability skills

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

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

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

  4. 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).

Try it now

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:
18,20,22,24,2618, 20, 22, 24, 26
Set B:
19,21,23,2519, 21, 23, 25
Set C:
15,20,25,3015, 20, 25, 30
Set D:
20,21,22,23,2420, 21, 22, 23, 24

Set C has mean 22.522.5 with values stepping by 55 from 1515 to 3030, so each value is far from the center; its standard deviation is about 5.65.6. Sets A and B spread less evenly, and Set D is tightly clustered.

Practice playeasy

Seven game scores are 14,14\textsf{,} 18,18\textsf{,} 10,10\textsf{,} 20,20\textsf{,} 12,12\textsf{,} 15,15\textsf{,} and 23.23\textsf{.} Which data set has the same mean?

The original mean is 14+18+10+20+12+15+237=16\dfrac{14 + 18 + 10 + 20 + 12 + 15 + 23}{7} = 16. The set 10,10\textsf{,} 12,12\textsf{,} 14,14\textsf{,} 16,16\textsf{,} 18,18\textsf{,} 20,20\textsf{,} 2222 also has mean 1616, so the means match.

Practice playeasy

The ages, in years, of seven students are 12,12\textsf{,} 7,7\textsf{,} 15,15\textsf{,} 9,9\textsf{,} 18,18\textsf{,} 10,10\textsf{,} and 20.20\textsf{.} Which data set has the same median?

In order, the original values have middle value 1212, so the median is 1212. The set 5,5\textsf{,} 8,8\textsf{,} 10,10\textsf{,} 12,12\textsf{,} 19,19\textsf{,} 23,23\textsf{,} 2727 also has median 1212, 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∣B)=P(A and B)P(B)=1025=25P(A\mid B) = \dfrac{P(A \text{ and } B)}{P(B)} = \dfrac{10}{25} = \dfrac{2}{5}.

Practice playeasy

A swimmer logged 2020, 2424, 1818, 2222, and 2626 laps on five days of practice. On a sixth day, she swam xx laps. The mean number of laps per day over all six days is 2323. What is the value of xx?

Six days with a mean of 2323 laps total 6×23=1386 \times 23 = 138. Since 20+24+18+22+26=11020 + 24 + 18 + 22 + 26 = 110, x=138−110=28x = 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=79 - 2 = 7.

Practice playeasy

For a normal distribution, approximately what percent of data lies within 3 standard deviations of the mean? (Use the empirical rule; enter the number of percent.)

By the empirical rule, about 99.7%99.7\% lies within 3 SD of the mean.

Practice playeasy

A spinner has 44 equal sections and exactly 11 is red. You spin it once and flip a fair coin. What is the probability of landing on red and getting heads?

Red has a probability of 11 out of 4,4\textsf{,} or 14.\dfrac{1}{4}\textsf{.} Heads has a probability of 11 out of 2,2\textsf{,} or 12.\dfrac{1}{2}\textsf{.} The events are independent, so 14×12=18.\dfrac{1}{4} \times \dfrac{1}{2} = \dfrac{1}{8}\textsf{.}

Keep practicing

Turn statistics and probability into game time.

The ATLAS placement starts with this test's real coverage map and finds the right difficulty.