Use the table to answer the question. You collected the following data about the colors of dresses at the prom. red black blue white other 14 37 22 56 33 When making a pie chart for this data, what percentage of the dresses would the sector labeled "Red" include? Round to the nearest percent. (1 point) Responses 9% 9% 14% 14% 23% 23% 25%

1 answer

To find the percentage of the dresses that are red, first, we need to calculate the total number of dresses. We do this by adding all the quantities of dresses together:

  • Red: 14
  • Black: 37
  • Blue: 22
  • White: 56
  • Other: 33

Now, add them up: \[ 14 + 37 + 22 + 56 + 33 = 162 \]

Next, to find the percentage of dresses that are red, use the following formula: \[ \text{Percentage of Red} = \left( \frac{\text{Number of Red Dresses}}{\text{Total Number of Dresses}} \right) \times 100 \] Substituting in the numbers: \[ \text{Percentage of Red} = \left( \frac{14}{162} \right) \times 100 \] \[ \text{Percentage of Red} \approx 8.64% \]

Rounding to the nearest percent, this gives us approximately 9%.

Therefore, the sector labeled "Red" would include 9% of the dresses.