Pie Chart Worksheet is a practical tool used to help students understand data visualization by representing data as slices of a circle. Each slice, or "sector," of the pie represents a proportion of the whole dataset.
These worksheets typically guide students through interpreting data presented in percentages, fractions, or whole numbers, and often require them to create pie charts based on the given information.
What is a Pie Chart?
A pie chart divides a circle into slices where each slice represents a category. The size of the each slice is proportional to the quantity it represents. The entire pie represents the whole dataset typically 100% or the sum of the values.
For example if we want to show how a budget is allocated across the various departments each slice of the pie chart will represent a department and its size will depend on the budget allocated to it compared to the total.
Features of a Pie Chart
Common features of pie chart are:
Circular chart divided into slices.
Slices represent parts of a whole.
The entire pie equals 100%.
Used for the displaying proportional data.
How to Construct a Pie Chart?
To create a pie chart follow these steps:
Step 1: Collect Data.
Gather the information we want to represent. For example suppose we are recording the time spent on the different activities in a day:
Study: 4 hours
Sleep: 8 hours
Exercise: 2 hours
Leisure: 6 hours
Meals: 4 hours
Step 2: Calculate the Total.
Find the sum of all the values:
Total hours = 4 + 8 + 2 + 6 + 4 = 24 hours.
Step 3: Calculate the Percentage for Each Category.
To find the percentage each category represents divide the value for the each category by the total and multiply by 100:
Study: 24/4 × 100 = 16.67%
Sleep: 24/8 × 100 = 33.33%
Exercise: 24/2 × 100 = 8.33%
Leisure: 24/6 × 100 = 25%
Meals: 24/4 × 100 = 16.67%
Step 4: Determine the Angle for Each Category.
Since the total circle is 360 degrees the angle for the each category can be calculated by the multiplying the percentage by 3.6:
Study: 16.67% × 3.6 = 60°
Sleep: 33.33% × 3.6 = 120°
Exercise: 8.33% × 3.6 = 30°
Leisure: 25% × 3.6 = 90°
Meals: 16.67% × 3.6 = 60°
Step 5: Draw the Pie Chart.
Using a protractor, divide the circle into the slices based on the angles calculated. Label each slice with its corresponding category and percentage.
Example Problems with Solutions
Example 1: A family keeps a record of their monthly expenses:
Rent: $800
Groceries: $400
Entertainment: $200
Utilities: $100
Savings: $500
Construct a pie chart for the data.
Solution:
Total expenses: 800+400+200+100+500 = 2000
Percentage for each category:
Rent: 2000/800 × 100 = 40%
Groceries: 2000/400 × 100 = 20%
Entertainment: 2000/200 × 100 = 10%
Utilities: 2000/100 × 100 = 5%
Savings: 2000/500 × 100 = 25%
Angles:
Rent: 40% × 3.6 = 144°
Groceries: 20% × 3.6 = 72°
Entertainment: 10% × 3.6 = 36°
Utilities: 5% × 3.6 = 18°
Savings: 25% × 3.6 = 90°
Draw a circle and divide it into these angles for each category.
Example 2: A company tracks how much time employees spend on the different tasks during a week:
Meetings: 10 hours
Development: 25 hours
Research: 5 hours
Breaks: 2 hours
Construct a pie chart.
Solution:
Total hours: 10+25+5+2 = 42
Percentage:
Meetings: 42/10 × 100 ≈ 23.81%
Development: 42/25 × 100 ≈ 59.52%
Research: 42/5 × 100 ≈ 11.90%
Breaks: 42/2 × 100 ≈ 4.76%
Angles:
Meetings: 23.81% × 3.6 ≈ 85.72°
Development: 59.52% × 3.6 ≈ 214.27°
Research: 11.90% × 3.6 ≈ 42.84°
Breaks: 4.76% × 3.6 ≈ 17.14°
Example 3: In a class of 100 students, a survey records their preferred subject:
Mathematics: 40
Science: 30
English: 20
History: 10
Draw a pie chart.
Solution:
Total students: 40+30+20+10 = 100
Percentage:
Mathematics: 100/40 × 100 = 40%
Science: 100/30 × 100 = 30%
English: 100/20 × 100 = 20%
History: 100/10 × 100 = 10%
Angles:
Mathematics: 40% × 3.6 = 144°
Science: 30% × 3.6 = 108°
English: 20% × 3.6 = 72°
History: 10% × 3.6 = 36°
Example 4: A sports club has players in different categories:
Football: 50
Basketball: 30
Tennis: 20
Construct a pie chart.
Solution:
Total players: 50+30+20 = 100
Percentage:
Football: 100/50 × 100 = 50%
Basketball: 100/30 × 100 = 30%
Tennis: 100/20 × 100 = 20%
Angles:
Football: 50% × 3.6 = 180°
Basketball: 30% × 3.6 = 108°
Tennis: 20% × 3.6 = 72°
Example 5: A survey shows the number of pets owned by households in a neighborhood:
Dogs: 60
Cats: 40
Birds: 20
Draw a pie chart.
Solution:
Total pets: 60+40+20 = 120
Percentage:
Dogs: 120/60 × 100 = 50%
Cats: 120/40 × 100 = 33.33%
Birds: 120/20 × 100 = 16.67%
Angles:
Dogs: 50% × 3.6 = 180°
Cats: 33.33% × 3.6 ≈ 120°
Birds: 16.67% × 3.6 ≈ 60°
Practice Questions
Q1: A store sells the following quantities of the products in a week:
Shoes: 40 pairs
Shirts: 30
Pants: 20
Hats: 10
Draw a pie chart to represent this data.
Q2: A school records the participation of students in extracurricular activities:
Dance: 50 students
Drama: 30 students
Sports: 70 students
Music: 20 students
Construct a pie chart.
Q3: A company's sales data for the various regions:
North: $500,000
South: $300,000
East: $200,000
West: $100,000
Draw a pie chart.
Q4: A restaurant keeps track of how many meals they sell in a day:
Breakfast: 80 meals
Lunch: 120 meals
Dinner: 100 meals
Create a pie chart for the data.
Q5: A survey on favorite fruits shows the following:
Apples: 50 people
Bananas: 30 people
Oranges: 40 people
Grapes: 20 people
Represent the data in a pie chart.
Q6: A fitness club records how its members spend their time:
Cardio: 30%
Weightlifting: 40%
Yoga: 20%
Swimming: 10%
Construct a pie chart.
Q7: A city council records the distribution of budget for public services:
Education: 40%
Healthcare: 30%
Infrastructure: 20%
Safety: 10%
Draw a pie chart to represent the budget distribution.
Q8: An online store's sales data for the different product categories:
Electronics: $100,000
Clothing: $50,000
Books: $30,000
Home goods: $20,000
Create a pie chart.
Q9: A bakery sells the following types of cakes:
Chocolate: 25 cakes
Vanilla: 15 cakes
Strawberry: 10 cakes
Red Velvet: 5 cakes
Draw a pie chart.
Q10: A company's employee distribution by department:
Engineering: 200 employees
Marketing: 100 employees
HR: 50 employees
Sales: 150 employees
Construct a pie chart.
Conclusion
The Pie charts are a great visual tool for the representing data proportionally. By dividing a circle into slices they allow for easy comparison between the different categories of the data. However, they are best suited for the data sets with the few categories. With the practice constructing and interpreting pie charts becomes a simple yet powerful skill for the visualizing data.
