Use the table to answer the question.

Question

Red Black Blue White Other
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 find the percentage of dresses that are labeled "Blue" for the pie chart, follow the steps below:

1. Calculate the total number of dresses. Add up all the dresses from each color category:

   \[ \text{Total} = \text{Red} + \text{Black} + \text{Blue} + \text{White} + \text{Other} \] \[ \text{Total} = 14 + 37 + 22 + 56 + 33 = 162 \]

2. Determine the number of Blue dresses. From the data provided, the number of Blue dresses is 22.

3. Calculate the percentage of Blue dresses. Use the formula:

   \[ \text{Percentage of Blue} = \left(\frac{\text{Number of Blue dresses}}{\text{Total number of dresses}}\right) \times 100 \] \[ \text{Percentage of Blue} = \left(\frac{22}{162}\right) \times 100 \approx 13.58 \]

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

   \[ \text{Percentage of Blue} \approx 14% \]

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