Use the table to answer the question.

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

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.

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.

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.

Answer 1

To determine the correct bar graph representation of the data, we need to calculate the relative frequencies (and their percentages) for each T-shirt color based on the provided frequencies.

1. Total Frequency Calculation:

   Total Frequency = Black + White + Blue \[ = 7 + 3 + 10 = 20 \]

2. Relative Frequency Calculation:

   • For Black: \[ \text{Relative Frequency} = \frac{7}{20} = 0.35 \text{ or } 35% \]
   • For White: \[ \text{Relative Frequency} = \frac{3}{20} = 0.15 \text{ or } 15% \]
   • For Blue: \[ \text{Relative Frequency} = \frac{10}{20} = 0.50 \text{ or } 50% \]

3. Summary of Percentages:

   • Black: 35%
   • White: 15%
   • Blue: 50%

Now let's compare these percentages with the options provided:

1. Graph Option 1:

   • Black: 40%
   • White: 10%
   • Blue: 50%

2. Graph Option 2:

   • Black: 35%
   • White: 15%
   • Blue: 50% (This matches perfectly!)

3. Graph Option 3:

   • Black: 30%
   • White: 15%
   • Blue: 50%

4. Graph Option 4:

   • Black: 25%
   • White: 25%
   • Blue: 50%

The correct graph that matches our calculated values is Graph Option 2:

• Black: 35%
• White: 15%
• Blue: 50%

Thus, Graph Option 2 shows the correct data in the table.