NY State Math Algebra II Statistics & Probability Practice

NY State Math Algebra II Statistics & Probability. Practice it free.

Per the NYSED Algebra II Educator Guide blueprint, the Statistics & Probability conceptual category is 14%–22% of credit and includes the domains Interpreting Categorical and Quantitative Data (S-ID), Making Inferences and Justifying Conclusions (S-IC), and Conditional Probability and the Rules of Probability (S-CP). This Algebra II reporting domain maps to 10 practice skills and 8 representative questions from the playable bank.

Algebra IIS-ID, S-IC, S-CP10 mapped skills

Statistics & 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

Understand and evaluate random processes underlying statistical experiments

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

Understand independence and conditional probability and use them to interpret data

Use the rules of probability to compute probabilities of compound events in a uniform probability model

Standards basis

New York State Learning Standards / New York State Next Generation Learning Standards (NGLS) — New York

How the NY State Math reports it

New York’s Grades 3–8 math tests and Regents math exams are state-developed assessments rather than a shared national framework. The grades 3–8 exams are aligned to New York State learning standards, and the Regents math sequence includes Algebra I, Geometry, and Algebra II, with the June 2026 Algebra II exam explicitly based on the New York State Next Generation Learning Standards.

Blueprint & weighting

Grades 3–8: the official page and the retrieved administration guide describe item/credit structure and timing, but no published domain-by-domain blueprint weighting was located in the primary sources used here. Regents (high school): NYSED publishes a per-conceptual-category 'percent of test by credit' blueprint for each course in its Educator Guides. Algebra I — Number & Quantity 4%–10%, Algebra 48%–61%, Functions 24%–32%, Statistics & Probability 7%–15%. Geometry (single conceptual category, by domain) — Congruence (G-CO) 27%–34%, Similarity, Right Triangles, & Trigonometry (G-SRT) 29%–37%, Circles (G-C) 2%–8%, Expressing Geometric Properties with Equations (G-GPE) 12%–18%, Geometric Measurement & Dimensions (G-GMD) 2%–8%, Modeling with Geometry (G-MG) 8%–15%. Algebra II — Number & Quantity 4%–8%, Algebra 30%–39%, Functions 38%–45%, Statistics & Probability 14%–22%.

Official sources

NYSED Grades 3–8 ELA and Math Test Manuals
NYSED Directions for Administering Regents Examinations
NYSED High School Regents Examinations

8 free questions · 0/0 correct

Practice playeasy

A ball is tossed upward from a platform. The equation $h = -4.9t^2 + 14t + 21$ represents this situation, where $h$ is the height of the ball above the ground, in meters, $t$ seconds after it is tossed. According to the equation, what is the height, in meters, of the platform from which the ball was tossed?

At the moment of release, $t = 0$ . Substituting gives $h = -4.9(0)^2 + 14(0) + 21 = 21$ meters.

Practice playmedium

The letters of the word MISSISSIPPI are placed in a bag. Two letters are selected one at a time without replacement. What is the probability of drawing an S and then another S?

The word MISSISSIPPI has $11$ letters with $4$ S's. $P(\text{S first}) = \dfrac{4}{11}$ and $P(\text{S second} \mid \text{S first}) = \dfrac{3}{10}$ , so $P(\text{S then S}) = \dfrac{4}{11} \times \dfrac{3}{10} = \dfrac{6}{55}\textsf{.}$

Practice playeasy

From a table, 9 are on-time AND morning flights and 24 total are morning flights. Find the conditional probability of on-time given morning (simplified fraction).

$P(A\mid B) = \dfrac{P(A \text{ and } B)}{P(B)} = \dfrac{9}{24} = \dfrac{3}{8}$ .

Practice playmedium

Four data sets list quiz scores out of $120$ . Which set has the greatest standard deviation?

Set A: $100, 102, 104, 106$
Set B: $80, 90, 100, 110, 120$
Set C: $98, 99, 100, 101, 102$
Set D: $90, 95, 100, 105, 110$

Set B has mean $100$ with values stepping by $10$ from $80$ to $120$ , so each value is far from the center; its standard deviation is about $14.1$ . Set D has the same range but values cluster nearer the mean, and Sets A and C are tighter.

Practice playeasy

Seven test scores are $70\textsf{,}$ $75\textsf{,}$ $88\textsf{,}$ $85\textsf{,}$ $90\textsf{,}$ $65\textsf{,}$ and $87\textsf{.}$ Which data set has the same mean?

The original mean is $\dfrac{70 + 75 + 88 + 85 + 90 + 65 + 87}{7} = 80$ . The set $65\textsf{,}$ $70\textsf{,}$ $75\textsf{,}$ $80\textsf{,}$ $85\textsf{,}$ $90\textsf{,}$ $95$ also has mean $80$ , so the means match.

Practice playeasy

Seven morning temperatures, in degrees Fahrenheit, are $58\textsf{,}$ $80\textsf{,}$ $70\textsf{,}$ $62\textsf{,}$ $72\textsf{,}$ $64\textsf{,}$ and $56\textsf{.}$ Which data set has the same median?

In order, the original values have middle value $64$ , so the median is $64$ . The set $54\textsf{,}$ $58\textsf{,}$ $62\textsf{,}$ $64\textsf{,}$ $76\textsf{,}$ $78\textsf{,}$ $86$ also has median $64$ , so the medians match.

Practice playeasy

Maria earned history quiz scores of $70$ , $82$ , $74$ , and $90$ on four quizzes. On a fifth quiz, her score was $x$ . The mean score on all five quizzes is $81$ . What is the value of $x$ ?

Five quizzes with a mean of $81$ total $5 \times 81 = 405$ . Since $70 + 82 + 74 + 90 = 316$ , $x = 405 - 316 = 89$ .

Practice playeasy

A dot plot shows the goals a team scored in its 8 games: 0 goals in 2 games, 1 goal in 3 games, and 2 goals in 3 games. What fraction of the games did the team score exactly 1 goal?

$3$ of the $8$ games had exactly $1$ goal, so the fraction is $\dfrac{3}{8}$ .

NY State Math Algebra II Statistics & Probability. Practice it free.

Statistics & 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

Understand and evaluate random processes underlying statistical experiments

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

Understand independence and conditional probability and use them to interpret data

Use the rules of probability to compute probabilities of compound events in a uniform probability model

Topics mapped to this domain

Problem solving in context (SAT)

Two-event conditional probability word problems (SAT)

Conditional probability

Compare standard deviation of data sets (ACT)

Comparing means

Comparing medians

Find score from mean

Interpreting data displays

Normal distribution basics

Statistics basics

8 free questions · 0/0 correct

Turn statistics & probability into game time.

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