To find the percentage of the dresses that would be represented by the sector labeled "Blue" in a pie chart, we first need to determine the total number of dresses.
From the table:
- Red: 14
- Black: 37
- Blue: 22
- White: 56
- Other: 33
Now, let's add these numbers together to find the total:
\[ \text{Total} = 14 + 37 + 22 + 56 + 33 \] \[ \text{Total} = 14 + 37 = 51 \] \[ \text{Total} = 51 + 22 = 73 \] \[ \text{Total} = 73 + 56 = 129 \] \[ \text{Total} = 129 + 33 = 162 \]
So, the total number of dresses is 162.
Next, we find the number of blue dresses, which is 22.
Now we can calculate the percentage of blue dresses using the formula:
\[ \text{Percentage of Blue} = \left( \frac{\text{Number of Blue Dresses}}{\text{Total Number of Dresses}} \right) \times 100 \]
Plugging in the values:
\[ \text{Percentage of Blue} = \left( \frac{22}{162} \right) \times 100 \]
Calculating this:
\[ \text{Percentage of Blue} \approx 0.1358 \times 100 \approx 13.58% \]
Rounding to the nearest percent, we find:
\[ \text{Percentage of Blue} \approx 14% \]
Thus, the sector labeled "Blue" would include approximately 14% of the dresses in the pie chart.
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