NY State Math Algebra I Statistics & Probability Practice

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

Per the NYSED Algebra I Educator Guide blueprint, the Statistics & Probability conceptual category is 7%–15% of credit and is the domain Interpreting Categorical and Quantitative Data (S-ID). This Algebra I reporting domain maps to 7 practice skills and 8 representative questions from the playable bank.

Algebra IS-ID7 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

Interpret linear models

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

Four data sets show daily high temperatures (in °F). Which set has the greatest standard deviation?

Set A: $20, 22, 24, 26$
Set B: $21, 23, 25, 27, 29$
Set C: $10, 22, 24, 26, 28$
Set D: $22, 23, 24, 25, 26$

Set C includes the outlier $10$ while the other values cluster near $24$ , so values are far from the mean $22$ . Its standard deviation is about $6.3$ , greater than the evenly spaced sets A, B, and D.

Practice playeasy

Seven morning temperatures, in degrees Fahrenheit, are $62\textsf{,}$ $64\textsf{,}$ $66\textsf{,}$ $75\textsf{,}$ $70\textsf{,}$ $72\textsf{,}$ and $67\textsf{.}$ Which data set has the same mean?

The original mean is $\dfrac{62 + 64 + 66 + 75 + 70 + 72 + 67}{7} = 68$ . The set $60\textsf{,}$ $64\textsf{,}$ $66\textsf{,}$ $68\textsf{,}$ $70\textsf{,}$ $72\textsf{,}$ $76$ also has mean $68$ , so the means match.

Practice playeasy

Seven test scores are $90\textsf{,}$ $50\textsf{,}$ $80\textsf{,}$ $55\textsf{,}$ $72\textsf{,}$ $60\textsf{,}$ and $83\textsf{.}$ Which data set has the same median?

In order, the original values have middle value $72$ , so the median is $72$ . The set $49\textsf{,}$ $54\textsf{,}$ $70\textsf{,}$ $72\textsf{,}$ $96\textsf{,}$ $97\textsf{,}$ $98$ also has median $72$ , so the medians match.

Practice playeasy

A musician practiced piano for $40$ , $55$ , and $50$ minutes on three days. On a fourth day, the practice time was $x$ minutes. The mean practice time over the four days is $48$ minutes. What is the value of $x$ ?

Four days with a mean of $48$ minutes total $4 \times 48 = 192$ . Since $40 + 55 + 50 = 145$ , $x = 192 - 145 = 47$ .

Practice playeasy

A dot plot of the number of siblings shows 2 dots above 0, 6 dots above 1, 3 dots above 2, and 1 dot above 3. Which number of siblings occurs most often?

The tallest column ( $6$ dots) sits above $1$ , so $1$ sibling occurs most often.

Practice playeasy

A normal distribution has mean $200$ and standard deviation $20$ . What value is 1 standard deviation below the mean?

$200 - 1\times20 = 180$ .

Practice playeasy

Find the range of $12, 7, 15, 3, 9$ .

Range $=$ maximum $-$ minimum $= 15 - 3 = 12$ .

Practice playeasy

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

Set A: $3, 7, 11, 15$
Set B: $6, 8, 10, 12, 14$
Set C: $8, 9, 10, 11, 12$
Set D: $4, 8, 12, 16, 20$

Set C has mean $10$ with values within one step of the center ( $8$ through $12$ ), giving the smallest standard deviation, about $1.4$ . Sets A, B, and D spread farther from their means.