High School

A sample of 50 11th graders were asked to select a favorite pattern out of 6 choices. The data list below shows what their favorite color patterns were, and the accompanying frequency table and bar graph represent these data. In the bar graph, the height of the blue-gray bar is 4, the height of the green bar is 9, and so on.

**Color Pattern Frequency**
Blue-gray: 4
Green: 9
Indigo: 14
Purple: 11
Red and orange: 9
Yellow: 3

Suppose that, rather than being just a bar graph, the display you see above is a relative frequency bar graph. The vertical axis of the graph will be marked off in percentages, from 0 percent up to 30 percent. What will be the height of the purple bar?

A. 11
B. 27
C. 30
D. 22

Answer :

The requried, height of the purple bar on the relative frequency bar graph is 22, and the answer is (D) 22.

What is Statistic?

Statistics is the study of mathematics that deals with relations between comprehensive data.

Here,
Since the vertical axis of the bar graph is marked off in percentages, we can determine the height of each bar by multiplying its frequency by 2, since 50 students were surveyed (i.e., 100% of the sample size).

The frequency of the purple color pattern is 11, so its height on the bar graph is 11*2 = 22.

Therefore, the height of the purple bar on the relative frequency bar graph is 22, and the answer is (D) 22.

Learn more about Statistics here:
https://brainly.com/question/23091366

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