Question

Use the table to answer the 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. (4 points)

Answer 1

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.