Question

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Percent Bar Graphs Quick Check
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Question
Use the table to answer the question.

T-shirt Color Frequency Relative Frequency
Black 7 720 =
?%
White 3 320 =
?%
Blue 10 1020 =
?%
Summarize the data in this relative frequency table using a percent bar graph. Which graph shows the data in the table?

(1 point)
Responses

A bar graph illustration shows a horizontal axis with the terms black, white, and blue. The vertical axis is labeled Percentage and ranges from 0 to 50 in increments of 10. On the horizontal axis, the approximate bar value for black is 25 percent. The approximate value for white is 25 percent. The value for blue is 50 percent.
Image with alt text: A bar graph illustration shows a horizontal axis with the terms black, white, and blue. The vertical axis is labeled Percentage and ranges from 0 to 50 in increments of 10. On the horizontal axis, the approximate bar value for black is 25 percent. The approximate value for white is 25 percent. The value for blue is 50 percent.

A bar graph illustration shows a horizontal axis with the terms black, white, and blue. The vertical axis is labeled Percentage and ranges from 0 to 50 in increments of 10. On the horizontal axis, the approximate bar value for black is 35 percent. The approximate value for white is 15 percent. The value for blue is 50 percent.
Image with alt text: A bar graph illustration shows a horizontal axis with the terms black, white, and blue. The vertical axis is labeled Percentage and ranges from 0 to 50 in increments of 10. On the horizontal axis, the approximate bar value for black is 35 percent. The approximate value for white is 15 percent. The value for blue is 50 percent.

A bar graph illustration shows a horizontal axis with the terms black, white, and blue. The vertical axis is labeled Percentage and ranges from 0 to 50 in increments of 10. On the horizontal axis, the approximate bar value for black is 30 percent. The approximate value for white is 15 percent. The value for blue is 50 percent.
Image with alt text: A bar graph illustration shows a horizontal axis with the terms black, white, and blue. The vertical axis is labeled Percentage and ranges from 0 to 50 in increments of 10. On the horizontal axis, the approximate bar value for black is 30 percent. The approximate value for white is 15 percent. The value for blue is 50 percent.

0.A bar graph illustration shows a horizontal axis with the terms black, white, and blue. The vertical axis is labeled Percentage and ranges from 0 to 50 in increments of 10. On the horizontal axis, the approximate bar value for black is 40 percent. The approximate value for white is 10 percent. The value for blue is 50 percent.
0. Image with alt text: A bar graph illustration shows a horizontal axis with the terms black, white, and blue. The vertical axis is labeled Percentage and ranges from 0 to 50 in increments of 10. On the horizontal axis, the approximate bar value for black is 40 percent. The approximate value for white is 10 percent. The value for blue is 50 percent.
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Answer 1

To create a relative frequency table and subsequently a percent bar graph, we first need to calculate the total frequency and then the relative frequencies for each T-shirt color.

**Calculate the Total Frequency:**
- Black: 7
- White: 3
- Blue: 10

Total Frequency = 7 + 3 + 10 = 20

**Calculate the Relative Frequencies (as percentages):**
- Relative Frequency for Black = (7/20) × 100 = 35%
- Relative Frequency for White = (3/20) × 100 = 15%
- Relative Frequency for Blue = (10/20) × 100 = 50%

Now we can summarize the relative frequencies:
- Black: 35%
- White: 15%
- Blue: 50%

Next, we can analyze the bar graphs provided in the options:

1. **First option:** Black = 25%, White = 25%, Blue = 50%. (Not correct)
2. **Second option:** Black = 35%, White = 15%, Blue = 50%. (Correct)
3. **Third option:** Black = 30%, White = 15%, Blue = 50%. (Not correct)
4. **Fourth option:** Black = 40%, White = 10%, Blue = 50%. (Not correct)

**Conclusion:** The graph that shows the data in the table is the **second option**, with Black at 35%, White at 15%, and Blue at 50%.