Q: A pie chart is used to represent the distribution of favorite ice cream flavors among 130 students. If 54 students prefer chocolate, what is the angle (in degrees) of the chocolate sector in the pie chart?

$$\frac{54}{130} \times 360 = 149.54^\circ$$

Q: In a pie chart, the angle for the 'Adult' category is $$72^\circ. $$What percentage of the total does this represent?

$$\frac{72}{360} \times 100 = 20\%$$

Q: If a pie chart sector represents 54 students out of a total of 130, what is the percentage represented by this sector?

$$\frac{54}{130} \times 100 = 41.54\%$$

Q: A student wants to create a pie chart for the following data: Vanilla: 32, Chocolate: 54, Marble: 24, Other: 20. What is the angle for the 'Marble' sector?

$$\frac{24}{130} \times 360 = 66.46^\circ$$

Q: If a pie chart sector for 'Blonde' hair color is $$72^\circ$$, and the total number of students is 40, how many students have blonde hair?

$$\frac{72}{360} \times 40 = 8$$

Question 1

A pie chart is used to represent the distribution of favorite ice cream flavors among 130 students. If 54 students prefer chocolate, what is the angle (in degrees) of the chocolate sector in the pie chart?

Accepted Answer

$$\frac{54}{130} 	imes 360 = 149.54^\circ$$

Question 2

In a classroom, a pie chart shows that 25% of students have red hair. If there are 40 students in the class, how many students have red hair?

Accepted Answer

$$0.25 	imes 40 = 10$$

Question 3

A pie chart for museum ticket sales shows 30% of tickets were sold to seniors. If 9 tickets were sold to seniors, how many tickets were sold in total?

Accepted Answer

$$\frac{9}{0.3} = 30$$

Question 4

Which of the following best describes the purpose of a pie chart?

Accepted Answer

To show the percentage or relative frequency of responses in each category

Question 5

If a pie chart shows that 40% of students prefer vanilla ice cream, and there are 130 students in total, how many students prefer vanilla?

Accepted Answer

$$0.4 	imes 130 = 52$$

Question 6

A pie chart for a survey of 130 students shows the following frequencies: Vanilla: 32, Chocolate: 54, Marble: 24, Other: 20. What is the relative frequency for 'Other'?

Accepted Answer

$$\frac{20}{130} = 0.1538$$

Question 7

In a pie chart, the angle for the 'Adult' category is $$72^\circ. $$What percentage of the total does this represent?

Accepted Answer

$$\frac{72}{360} 	imes 100 = 20\%$$

Question 8

A pie chart shows the distribution of hair colors in a class: Red: 25%, Black: 35%, Blonde: 20%, Brown: 20%. If there are 40 students, how many have black hair?

Accepted Answer

$$0.35 	imes 40 = 14$$

Question 9

If a pie chart sector represents 54 students out of a total of 130, what is the percentage represented by this sector?

Accepted Answer

$$\frac{54}{130} 	imes 100 = 41.54\%$$

Question 10

A student wants to create a pie chart for the following data: Vanilla: 32, Chocolate: 54, Marble: 24, Other: 20. What is the angle for the 'Marble' sector?

Accepted Answer

$$\frac{24}{130} 	imes 360 = 66.46^\circ$$

Question 11

Which of the following is NOT a correct step in creating a pie chart from categorical data?

Accepted Answer

Calculate the mean of the data

Question 12

A pie chart shows that 20% of tickets were sold to children, 30% to seniors, 18% to adults, and 32% to members. Which group bought the most tickets?

Accepted Answer

Members

Question 13

If a pie chart sector for 'Blonde' hair color is $$72^\circ$$, and the total number of students is 40, how many students have blonde hair?

Accepted Answer

$$\frac{72}{360} 	imes 40 = 8$$

Question 14

A pie chart is constructed for a survey with 4 categories. If one category has a relative frequency of 0.25, what is the angle of its sector?

Accepted Answer

$$0.25 	imes 360 = 90^\circ$$

Question 15

A pie chart shows that 18% of tickets were sold to adults. If 9 tickets were sold to adults, what is the total number of tickets sold?

Accepted Answer

$$\frac{9}{0.18} = 50$$

Question 16

If a pie chart shows the following percentages for hair color in a class: Red: 25%, Black: 35%, Blonde: 20%, Brown: 20%, what is the sum of all the angles in the pie chart?

Accepted Answer

$$360^\circ$$

Pie Charts: Creating and Interpreting Graphical Summaries in Statistics

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