State of New Jersey, Department of Education

STANDARD 4.4 (DATA ANALYSIS, PROBABILITY, AND DISCRETE MATHEMATICS)
CLUSTER 4/STANDARD 4

SAMPLE TEST QUESTION

Standard 4, Strand A

Jackie is preparing a presentation for her boss. She displayed her data in two different graphs.

If Jackie is trying to convince her boss that Brand X is an acceptable choice, which graph should she use in her presentation and why?

  • Display the same data using another type of graph, other than a bar graph, that would also allow Jackie to convince her boss that Brand X is acceptable.
Rationale:

The representation of the data in graph A seems to show a very small difference between the two brands X and Y. If Jackie is trying to convince her boss that Brand X is acceptable, this graph indicates that studies show little preference for Y over X. Graph B, because of the vertical scale used in the presentation, visually indicates a strong preference for Brand Y. The small difference between the two products is exaggerated due to the vertical scale.

A circle graph is another way that this information could be presented. Assuming each person polled could vote for only one choice, there is a total of 38 people in the survey. The portion of the circle graph representing those who preferred Brand X would be . Brand Y would be .