Use the table to answer the question.

Question

Red 14
Black 37
Blue 22
White 56
Other 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 that the sector labeled "Blue" would represent in the pie chart, follow these steps:

1. Calculate the total number of dresses: Add together all the values given in the table.

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

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:

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

4. Round to the nearest percent: Since 13.58 is closer to 14 than to 13, we round it to 14%.

Thus, the sector labeled "Blue" would include approximately 14% of the dresses.