Use the table to answer the question.

Question

Top of Graph
Red
Black
Blue
White
Other
Bottom of Graph
14
37
22
56
33

When making a pie chart for this data, what percentage of the dresses would the sector labeled "Blue" include? Round to the nearest percent. Show your work or explain how you got your answer.

Answer 1

To determine the percentage of dresses that the sector labeled "Blue" would include in a pie chart, follow these steps:

1. Find the total number of dresses by adding the counts of all the dress colors together. According to the data:

   • Red: 14
   • Black: 37
   • Blue: 22
   • White: 56
   • Other: 33

   So, the total is: \[ 14 + 37 + 22 + 56 + 33 = 162 \]

2. Determine the number of Blue dresses: The number of Blue dresses is 22.

3. Calculate the percentage of Blue dresses using the following formula: \[ \text{Percentage} = \left( \frac{\text{Number of Blue dresses}}{\text{Total number of dresses}} \right) \times 100 \]

   Plugging in the numbers: \[ \text{Percentage} = \left( \frac{22}{162} \right) \times 100 \approx 13.58% \]

4. Round to the nearest percent: Rounding 13.58% gives us approximately 14%.

Therefore, the sector labeled "Blue" would include about 14% of the dresses in the pie chart.