Use the table to answer the question.

Question

Flowers for Sale Frequency Relative Frequency
tulip 4 410=
?%
marigold 5 510=
?%
carnation 1 110=
?%
Describe the distribution of this dataset 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 tulip, marigold, and carnation. The vertical axis is labeled Percentage and ranges from 0 to 50 in increments of 10. On the horizontal axis, the bar value for tulip is 40 percent, the bar value for marigold is 50 percent, and the bar value for carnation is 20 percent.
Image with alt text: A bar graph illustration shows a horizontal axis with the terms tulip, marigold, and carnation. The vertical axis is labeled Percentage and ranges from 0 to 50 in increments of 10. On the horizontal axis, the bar value for tulip is 40 percent, the bar value for marigold is 50 percent, and the bar value for carnation is 20 percent.

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

A bar graph illustration shows a horizontal axis with the terms tulip, marigold, and carnation. The vertical axis is labeled Percentage and ranges from 0 to 50 in increments of 10. On the horizontal axis, the bar value for tulip is 40 percent, the bar value for marigold is 40 percent, and the bar value for carnation is 20 percent.
Image with alt text: A bar graph illustration shows a horizontal axis with the terms tulip, marigold, and carnation. The vertical axis is labeled Percentage and ranges from 0 to 50 in increments of 10. On the horizontal axis, the bar value for tulip is 40 percent, the bar value for marigold is 40 percent, and the bar value for carnation is 20 percent.

A bar graph illustration shows a horizontal axis with the terms tulip, marigold, and carnation. The vertical axis is labeled Percentage and ranges from 0 to 50 in increments of 10. On the horizontal axis, the bar value for tulip is 30 percent, the bar value for marigold is 50 percent, and the bar value for carnation is 10 percent.

Answer 1

To describe the distribution of the dataset and provide the correct percentages, we need to calculate the relative frequencies first.

From the table, we have:

• Tulip: 4
• Marigold: 5
• Carnation: 1

Total Frequency Calculation:

Total = 4 (tulips) + 5 (marigolds) + 1 (carnation) = 10 flowers

Relative Frequency Calculation:

1. Tulip: \[ \text{Relative Frequency} = \left( \frac{4}{10} \right) \times 100 = 40% \]

2. Marigold: \[ \text{Relative Frequency} = \left( \frac{5}{10} \right) \times 100 = 50% \]

3. Carnation: \[ \text{Relative Frequency} = \left( \frac{1}{10} \right) \times 100 = 10% \]

Distribution Summary:

• Tulip: 40%
• Marigold: 50%
• Carnation: 10%

Choosing the Correct Graph:

From the calculations, we see that the values are:

• Tulip: 40%
• Marigold: 50%
• Carnation: 10%

Reviewing the provided options, the correct bar graph must have:

• Tulip at 40%
• Marigold at 50%
• Carnation at 10%

Based on this information, the correct bar graph illustration is the one that shows the following values:

• Tulip: 40 percent
• Marigold: 50 percent
• Carnation: 10 percent

Therefore, the second option (where tulip is at 40%, marigold is at 50%, and carnation is at 10%) is the correct answer.