To determine the percentage of dresses that would be represented by the "Blue" sector in a pie chart, we first need to find the total number of dresses. The data provided is:
- Red: 14
- Black: 37
- Blue: 22
- White: 56
- Other: 33
Now, we add these numbers together to find the total:
\[ \text{Total} = 14 + 37 + 22 + 56 + 33 \]
Calculating the total:
\[ \text{Total} = 14 + 37 = 51 \] \[ \text{Total} = 51 + 22 = 73 \] \[ \text{Total} = 73 + 56 = 129 \] \[ \text{Total} = 129 + 33 = 162 \]
So, the total number of dresses is 162.
Next, we compute the percentage of the dresses that are Blue. The formula to calculate the percentage is:
\[ \text{Percentage} = \left(\frac{\text{Number of Blue dresses}}{\text{Total number of dresses}}\right) \times 100 \]
Substituting in the numbers:
\[ \text{Percentage of Blue} = \left(\frac{22}{162}\right) \times 100 \]
Calculating this:
\[ \frac{22}{162} \approx 0.1358 \]
Now, multiplying by 100 to convert it to a percentage:
\[ 0.1358 \times 100 \approx 13.58 \]
Rounding to the nearest percent, we get 14%.
Thus, the sector labeled "Blue" would include approximately 14% of the dresses in the pie chart.
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