To determine what percentage of the dresses are red, follow these steps:
1. Sum the total number of dresses:
[tex]\[
\text{Total number of dresses} = 14 \, (\text{red}) + 37 \, (\text{black}) + 22 \, (\text{blue}) + 56 \, (\text{white}) + 33 \, (\text{other})
\][/tex]
Adding these together:
[tex]\[
14 + 37 + 22 + 56 + 33 = 162
\][/tex]
Thus, the total number of dresses is 162.
2. Calculate the percentage of red dresses:
[tex]\[
\text{Percentage of red dresses} = \left( \frac{\text{Number of red dresses}}{\text{Total number of dresses}} \right) \times 100 \%
\][/tex]
Plugging in the values:
[tex]\[
\left( \frac{14}{162} \right) \times 100 \% \approx 8.6419753 \%
\][/tex]
3. Round to the nearest percent:
[tex]\[
8.6419753 \% \approx 9 \%
\][/tex]
Therefore, when making a pie chart for this data, the sector labeled "Red" would include approximately [tex]$9 \%$[/tex] of the dresses. The correct answer is:
[tex]\[
9 \%
\][/tex]
