Question

1. draw a circle graph for the following: favorite food frequency percent degree pizza 47 chicken 30 hamburgers 35 hot dogs 15 steak 26 tacos 10 n = 163

Explanation:

Step1: Calculate the percentage for each food

Percent = $\frac{\text{frequency}}{\text{total frequency}}\times100$. For Pizza: $\frac{47}{163}\times100\approx28.83\%$, for Chicken: $\frac{30}{163}\times100\approx18.40\%$, for Hamburgers: $\frac{35}{163}\times100\approx21.47\%$, for Hot - Dogs: $\frac{15}{163}\times100\approx9.20\%$, for Steak: $\frac{26}{163}\times100\approx15.95\%$, for Tacos: $\frac{10}{163}\times100\approx6.13\%$.

Step2: Calculate the degrees for each food

Degrees = $\frac{\text{frequency}}{\text{total frequency}}\times360$. For Pizza: $\frac{47}{163}\times360\approx103.80^{\circ}$, for Chicken: $\frac{30}{163}\times360\approx66.26^{\circ}$, for Hamburgers: $\frac{35}{163}\times360\approx77.24^{\circ}$, for Hot - Dogs: $\frac{15}{163}\times360\approx33.13^{\circ}$, for Steak: $\frac{26}{163}\times360\approx57.42^{\circ}$, for Tacos: $\frac{10}{163}\times360\approx22.09^{\circ}$.

Step3: Draw the circle graph

Use a protractor to draw sectors with the calculated degrees for each favorite food category in the given circle. Label each sector with the name of the food and its percentage.

Answer:

The circle graph is drawn with sectors having degrees and percentages as calculated above for each favorite - food category.