Question

according to this data 36 people selected their favorite colors, fill in the blanks below. color number of people red 3 blue 6 green 18 purple 9 remember, circles (or pies) are 360 degrees. if creating a pie chart: you would make a red section that is degrees. the blue secion would be degrees. the green section would be degrees the purple section would be degrees sometimes students really struggle with angles. here is a quick video explanation again if needed. drawing pie charts watch on youtube

Explanation:

Step1: Calculate proportion for Red

The proportion of people who like red is $\frac{3}{36}$. Multiply by 360 to get the angle. $\frac{3}{36}\times360 = 30$.

Step2: Calculate proportion for Blue

The proportion of people who like blue is $\frac{6}{36}$. Multiply by 360 to get the angle. $\frac{6}{36}\times360 = 60$.

Step3: Calculate proportion for Green

The proportion of people who like green is $\frac{18}{36}$. Multiply by 360 to get the angle. $\frac{18}{36}\times360 = 180$.

Step4: Calculate proportion for Purple

The proportion of people who like purple is $\frac{9}{36}$. Multiply by 360 to get the angle. $\frac{9}{36}\times360 = 90$.

Answer:

Red: 30 degrees
Blue: 60 degrees
Green: 180 degrees
Purple: 90 degrees