NJSLA Algebra I Interpreting Categorical and Quantitative Data. Practice it free.

Summarize, represent, and interpret data on a single count or measurement variable. This Algebra I reporting domain maps to 6 practice skills and 8 representative questions from the playable bank.

Algebra IS-ID6 mapped skills
What the test measures

Interpreting Categorical and Quantitative Data skills

  1. S-ID.A.1 Represent data with plots on the real number line

  2. S-ID.A.2 Use statistics appropriate to the shape of the data distribution to compare center

  3. S-ID.A.3 Interpret differences in shape, center, and spread in the context of the data sets

  4. S-ID.B.4 Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages

  5. S-ID.B.5 Summarize categorical data for two categories in two-way frequency tables

  6. S-ID.C.6 Represent data on two quantitative variables on a scatter plot

  7. S-ID.C.7 Interpret the slope and intercept of a linear model in the context of the data

  8. S-ID.C.8 Compute and interpret the correlation coefficient of a linear fit

  9. S-ID.C.9 Distinguish between 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.

Try it now

8 free questions · 0/0 correct

Practice playmedium

Four data sets list quiz scores out of 120120. Which set has the greatest standard deviation?

Set A:
100,102,104,106100, 102, 104, 106
Set B:
80,90,100,110,12080, 90, 100, 110, 120
Set C:
98,99,100,101,10298, 99, 100, 101, 102
Set D:
90,95,100,105,11090, 95, 100, 105, 110

Set B has mean 100100 with values stepping by 1010 from 8080 to 120120, so each value is far from the center; its standard deviation is about 14.114.1. 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 70,70\textsf{,} 75,75\textsf{,} 88,88\textsf{,} 85,85\textsf{,} 90,90\textsf{,} 65,65\textsf{,} and 87.87\textsf{.} Which data set has the same mean?

The original mean is 70+75+88+85+90+65+877=80\dfrac{70 + 75 + 88 + 85 + 90 + 65 + 87}{7} = 80. The set 65,65\textsf{,} 70,70\textsf{,} 75,75\textsf{,} 80,80\textsf{,} 85,85\textsf{,} 90,90\textsf{,} 9595 also has mean 8080, so the means match.

Practice playeasy

Seven morning temperatures, in degrees Fahrenheit, are 58,58\textsf{,} 80,80\textsf{,} 70,70\textsf{,} 62,62\textsf{,} 72,72\textsf{,} 64,64\textsf{,} and 56.56\textsf{.} Which data set has the same median?

In order, the original values have middle value 6464, so the median is 6464. The set 54,54\textsf{,} 58,58\textsf{,} 62,62\textsf{,} 64,64\textsf{,} 76,76\textsf{,} 78,78\textsf{,} 8686 also has median 6464, so the medians match.

Practice playeasy

Maria earned history quiz scores of 7070, 8282, 7474, and 9090 on four quizzes. On a fifth quiz, her score was xx. The mean score on all five quizzes is 8181. What is the value of xx?

Five quizzes with a mean of 8181 total 5×81=4055 \times 81 = 405. Since 70+82+74+90=31670 + 82 + 74 + 90 = 316, x=405316=89x = 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?

33 of the 88 games had exactly 11 goal, so the fraction is 38\dfrac{3}{8}.

Practice playeasy

Find the median of 12,5,812, 5, 8.

When ordered least to greatest: 5,8,125, 8, 12. The middle value is 88.

Practice playeasy

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

Set A:
20,22,24,2620, 22, 24, 26
Set B:
21,23,25,27,2921, 23, 25, 27, 29
Set C:
10,22,24,26,2810, 22, 24, 26, 28
Set D:
22,23,24,25,2622, 23, 24, 25, 26

Set C includes the outlier 1010 while the other values cluster near 2424, so values are far from the mean 2222. Its standard deviation is about 6.36.3, greater than the evenly spaced sets A, B, and D.

Practice playeasy

Seven morning temperatures, in degrees Fahrenheit, are 62,62\textsf{,} 64,64\textsf{,} 66,66\textsf{,} 75,75\textsf{,} 70,70\textsf{,} 72,72\textsf{,} and 67.67\textsf{.} Which data set has the same mean?

The original mean is 62+64+66+75+70+72+677=68\dfrac{62 + 64 + 66 + 75 + 70 + 72 + 67}{7} = 68. The set 60,60\textsf{,} 64,64\textsf{,} 66,66\textsf{,} 68,68\textsf{,} 70,70\textsf{,} 72,72\textsf{,} 7676 also has mean 6868, so the means match.

Keep practicing

Turn interpreting categorical and quantitative data into game time.

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