AnswersStatistical ReasoningSegmented Bar Graphs — QuizQuestion 5
5
QuizMultiple Choice

Segmented Bar Graphs — Quiz

Question 5 • Statistical Reasoning

A high school is voting on a new mascot. Lion Eagle Bee Row Total Ninth Grade 45 percent 32 percent 23 percent 100 percent Tenth Grade 36 percent 40 percent 24 percent 100 percent Eleventh Grade 50 percent 28 percent 22 percent 100 percent Twelfth Grade 40 percent 25 percent 35 percent 100 percent Match the two-way table to the segmented bar graph.

Answer
A
Image with description A stacked bar graph titled Mascot Choice by Grade shows a horizontal axis with labels Ninth Grade, Tenth Grade, Eleventh Grade, and Twelfth Grade. The vertical axis has labels from 0 to 100 percent in increments of 20 with horizontal grid lines every 10 percent. A legend below shows entries Lion, Eagle, and Bee. Each grade has a stacked bar divided into 3 segments. For Ninth Grade, the Lion segment extends from 0 to 55 percent, Eagle extends from 55 to 80 percent, and Bee extends from 80 to 100 percent. For Tenth Grade, the Lion segment extends from 0 to 50 percent, Eagle extends from 50 to 90 percent, and Bee extends from 90 to 100 percent. For Eleventh Grade, the Lion segment extends from 0 to 50 percent, Eagle extends from 50 to 90 percent, and Bee extends from 90 to 100 percent. For Twelfth Grade, the Lion segment extends from 0 to 40 percent, Eagle extends from 40 to 65 percent, and Bee extends from 65 to 100 percent.
B
Image with description A stacked bar graph titled Mascot Choice by Grade shows a horizontal axis with labels Ninth Grade, Tenth Grade, Eleventh Grade, and Twelfth Grade. The vertical axis has labels from 0 to 200 percent in increments of 40 with horizontal grid lines every 20 percent. A legend below shows entries Lion, Eagle, Bee, and Total. Each grade has a stacked bar divided into 4 segments. For Ninth Grade, the Lion segment extends from 0 to 45 percent, Eagle extends from 45 to 77 percent, Bee extends from 77 to 100 percent, and Total extends from 100 to 200 percent. For Tenth Grade, the Lion segment extends from 0 to 36 percent, Eagle extends from 36 to 76 percent, Bee extends from 76 to 100 percent, and Total extends from 100 to 200 percent. For Eleventh Grade, the Lion segment extends from 0 to 47 percent, Eagle extends from 47 to 78 percent, Bee extends from 78 to 100 percent, and Total extends from 100 to 200 percent. For Twelfth Grade, the Lion segment extends from 0 to 40 percent, Eagle extends from 40 to 65 percent, Bee extends from 65 to 100 percent, and Total extends from 100 to 200 percent.
C
Image with description A stacked bar graph titled Mascot Choice by Grade shows a horizontal axis with labels Ninth Grade, Tenth Grade, Eleventh Grade, and Twelfth Grade. The vertical axis has labels from 0 to 100 percent in increments of 20 with horizontal grid lines every 10 percent. A legend below shows entries Lion, Eagle, and Bee. Each grade has a stacked bar divided into 3 segments. For Ninth Grade, the Lion segment extends from 0 to 45 percent, Eagle extends from 45 to 68 percent, and Bee extends from 68 to 100 percent. For Tenth Grade, the Lion segment extends from 0 to 36 percent, Eagle extends from 36 to 60 percent, and Bee extends from 60 to 100 percent. For Eleventh Grade, the Lion segment extends from 0 to 50 percent, Eagle extends from 50 to 72 percent, and Bee extends from 72 to 100 percent. For Twelfth Grade, the Lion segment extends from 0 to 40 percent, Eagle extends from 40 to 75 percent, and Bee extends from 75 to 100 percent.
D
Image with description A stacked bar graph titled Mascot Choice by Grade shows a horizontal axis with labels Ninth Grade, Tenth Grade, Eleventh Grade, and Twelfth Grade. The vertical axis has labels from 0 to 100 percent in increments of 20 with horizontal grid lines every 10 percent. A legend below shows entries Lion, Eagle, and Bee. Each grade has a stacked bar divided into 3 segments. For Ninth Grade, the Lion segment extends from 0 to 45 percent, Eagle extends from 45 to 77 percent, and Bee extends from 77 to 100 percent. For Tenth Grade, the Lion segment extends from 0 to 36 percent, Eagle extends from 36 to 76 percent, and Bee extends from 76 to 100 percent. For Eleventh Grade, the Lion segment extends from 0 to 50 percent, Eagle extends from 50 to 78 percent, and Bee extends from 78 to 100 percent. For Twelfth Grade, the Lion segment extends from 0 to 40 percent, Eagle extends from 40 to 65 percent, and Bee extends from 65 to 100 percent.

Explanation

In a segmented bar graph, each grade’s bar should total 100%, with segments matching the row percentages. For ninth grade, the segments should end at 45%, 45% + 32% = 77%, and 100%. The same cumulative totals are 36%, 76%, 100% for tenth grade; 50%, 78%, 100% for eleventh grade; and 40%, 65%, 100% for twelfth grade. Choice D matches all these values and uses a 0–100% scale.

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