NJSLA Algebra II Interpreting Categorical and Quantitative Data Practice

Interpreting Categorical and Quantitative Data skills

S.ID.A.1-4 Distribution, center, spread, and normal modeling

S.ID.B.5 Two-way tables

S.ID.C.6-9 Bivariate data, scatter plots, linear models, correlation, and causation

Standards basis

New Jersey Student Learning Standards for Mathematics (NJSLS-M), aligned to Common Core State Standards for Mathematics (CCSS-M) — New Jersey

How the NJSLA reports it

NJSLA math is built on the New Jersey Student Learning Standards for Mathematics, which closely follow the Common Core domain structure and progressions. The assessment is organized by grade-level and end-of-course reporting aligned to those standards rather than by a separate proprietary framework.

Blueprint & weighting

NJDOE publishes statewide assessment administration information and grade/course coverage, but no official public math-domain weighting blueprint was located in the retrieved primary materials.

Official sources

New Jersey Department of Education - Assessment
New Jersey Department of Education - 2023 NJSLS-Mathematics
NJDOE - Statewide Assessment Testing Schedule 2026-27

8 free questions · 0/0 correct

Practice playeasy

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

Set A: $7, 9, 11, 13$
Set B: $8, 10, 10, 12$
Set C: $5, 10, 10, 15$
Set D: $6, 9, 11, 14$

Set B has mean $10$ with two values at the mean and the others only two units away, giving the smallest standard deviation, about $1.4$ . Sets A, C, and D spread farther from their means.

Practice playeasy

The distances, in miles, run on seven days are $6\textsf{,}$ $8\textsf{,}$ $12\textsf{,}$ $9\textsf{,}$ $14\textsf{,}$ $7\textsf{,}$ and $14\textsf{.}$ Which data set has the same mean?

The original mean is $\dfrac{6 + 8 + 12 + 9 + 14 + 7 + 14}{7} = 10$ . The set $4\textsf{,}$ $6\textsf{,}$ $8\textsf{,}$ $10\textsf{,}$ $12\textsf{,}$ $14\textsf{,}$ $16$ also has mean $10$ , so the means match.

Practice playeasy

Five afternoon temperatures, in degrees Fahrenheit, are $64\textsf{,}$ $78\textsf{,}$ $72\textsf{,}$ $60\textsf{,}$ and $66\textsf{.}$ Which data set has the same median?

In order, the original values have middle value $66$ , so the median is $66$ . The set $61\textsf{,}$ $65\textsf{,}$ $66\textsf{,}$ $77\textsf{,}$ $81$ also has median $66$ , so the medians match.

Practice playeasy

On four science quizzes, Priya earned scores of $85$ , $92$ , $78$ , and $88$ . On a fifth quiz, her score was $x$ . The mean score on all five quizzes is $87$ . What is the value of $x$ ?

Five quizzes with a mean of $87$ total $5 \times 87 = 435$ . Since $85 + 92 + 78 + 88 = 343$ , $x = 435 - 343 = 92$ .

Practice playeasy

A box plot summarizes the data 2, 4, 5, 7, 9, 11, 13. Find the minimum.

The minimum of the data is $2$ .

Practice playeasy

A coach records the goals her team scored in seven games: $1, 3, 2, 3, 0, 3, 2$ . What is the mode of the data?

The value $3$ appears three times, more often than any other value, so the mode is $3$ .

Practice playeasy

For a normal distribution, approximately what percent of data lies within 2 standard deviations of the mean? (Use the empirical rule; enter the number of percent.)

By the empirical rule, about $95\%$ lies within 2 SD of the mean.

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.