State of New Jersey Department of Education

STANDARD 4.4 (DATA ANALYSIS, PROBABILITY, AND DISCRETE MATHEMATICS): by Grade 4

SAMPLE TEST QUESTION

Data Analysis [4.4.4.A.2] [Open-ended Question]

Mr. Jones gave each of the students in his class a one-ounce box of raisins. When the students opened the boxes and counted the raisins, they found different amounts. The tally sheet below shows their results.

Number of Raisins
Tally
Frequency
10
I
1
11
II
2
12
III
3
13
IIIII
5
14
III
3
15
II
2

Construct a bar graph to represent the students' findings on the grid in your answer booklet. Be sure to label all parts of your graph and give the graph a title.

Scoring rubric

3 points
The response shows complete understanding of the problem's essential mathematical concepts by correctly representing the data given in the form of a bar graph. Axes will be labeled and the graph will have a title. The response may contain minor errors.

2 points
The response shows nearly complete understanding of the problem's essential mathematical concepts. Minor errors may be evident in the title, labeling, or representation of the data, but the student's understanding of the concept will be evident.

1 point
The response shows limited understanding of the problem's essential concepts. Major errors may be evident in the title, label, or graphing of the data.

0 points
The response shows insufficient understanding of the problem's essential mathematical concepts. The graph may be partially complete, incorrectly done due to misreading of the data, or presented in a format other than a bar graph.