What is a Pictograph in Math Explain With Examples
Explaining Pictographs with Examples
A pictograph is a way of representing data using images or symbols. Each image or symbol in a pictograph represents a certain number of items. Pictographs make it easier to understand and visualize data, especially for kids.
Example: Favorite Fruits of a Class
Imagine a class of 20 students where each student has a favorite fruit. We can represent this information using a pictograph.
Data:
- 7 students like apples.
- 5 students like bananas.
- 3 students like oranges.
- 2 students like grapes.
- 3 students like strawberries.
Step-by-Step Explanation
- Choose Symbols:
- Letβs use a simple image of each fruit to represent the students’ choices.
- Each fruit image will represent 1 student.
- Create the Pictograph:
Fruit | Number of Students | Pictograph |
---|---|---|
Apples | 7 | πππππππ |
Bananas | 5 | πππππ |
Oranges | 3 | πππ |
Grapes | 2 | ππ |
Strawberries | 3 | πππ |
- Interpret the Pictograph:
- Apples: There are 7 apple symbols, so 7 students like apples.
- Bananas: There are 5 banana symbols, so 5 students like bananas.
- Oranges: There are 3 orange symbols, so 3 students like oranges.
- Grapes: There are 2 grape symbols, so 2 students like grapes.
- Strawberries: There are 3 strawberry symbols, so 3 students like strawberries.
- Analysis:
- Most Liked Fruit: Apples (7 students)
- Least Liked Fruit: Grapes (2 students)
Another Example: Number of Books Read by Students
Let’s represent the number of books read by five students over a month.
Data:
- John read 4 books.
- Mary read 6 books.
- Sam read 3 books.
- Lily read 5 books.
- Tim read 2 books.
Step-by-Step Explanation
- Choose Symbols:
- We will use a book image π to represent the number of books.
- Each book image represents 1 book.
- Create the Pictograph:
Student | Number of Books | Pictograph |
---|---|---|
John | 4 | ππππ |
Mary | 6 | ππππππ |
Sam | 3 | πππ |
Lily | 5 | πππππ |
Tim | 2 | ππ |
- Interpret the Pictograph:
- John: There are 4 book symbols, so John read 4 books.
- Mary: There are 6 book symbols, so Mary read 6 books.
- Sam: There are 3 book symbols, so Sam read 3 books.
- Lily: There are 5 book symbols, so Lily read 5 books.
- Tim: There are 2 book symbols, so Tim read 2 books.
- Analysis:
- Most Books Read: Mary (6 books)
- Fewest Books Read: Tim (2 books)
Example 1: Types of Pets Owned by Students
Imagine a survey was conducted in a school to find out how many students own different types of pets. The data collected is as follows:
- 10 students have dogs.
- 6 students have cats.
- 4 students have rabbits.
- 8 students have fish.
Step-by-Step Explanation
- Choose Symbols:
- Use a dog πΆ to represent 2 students.
- Use a cat π± to represent 2 students.
- Use a rabbit π° to represent 2 students.
- Use a fish π to represent 2 students.
- Create the Pictograph:
Type of Pet | Number of Students | Pictograph |
---|---|---|
Dogs | 10 | πΆπΆπΆπΆπΆ |
Cats | 6 | π±π±π± |
Rabbits | 4 | π°π° |
Fish | 8 | ππππ |
- Interpret the Pictograph:
- Dogs: Each dog symbol represents 2 students. Since there are 5 dog symbols, 10 students have dogs.
- Cats: Each cat symbol represents 2 students. Since there are 3 cat symbols, 6 students have cats.
- Rabbits: Each rabbit symbol represents 2 students. Since there are 2 rabbit symbols, 4 students have rabbits.
- Fish: Each fish symbol represents 2 students. Since there are 4 fish symbols, 8 students have fish.
- Analysis:
- Most Popular Pet: Dogs (10 students)
- Least Popular Pet: Rabbits (4 students)
Example 2: Ice Cream Flavors Preferred by Children
In an ice cream shop, the owner noted the favorite ice cream flavors of 20 children.
- 7 children like chocolate.
- 5 children like vanilla.
- 4 children like strawberry.
- 3 children like mint.
- 1 child likes mango.
Step-by-Step Explanation
- Choose Symbols:
- Use a chocolate bar π« to represent 1 child.
- Use a vanilla cone π¦ to represent 1 child.
- Use a strawberry π to represent 1 child.
- Use a mint leaf πΏ to represent 1 child.
- Use a mango π₯ to represent 1 child.
- Create the Pictograph:
Ice Cream Flavor | Number of Children | Pictograph |
---|---|---|
Chocolate | 7 | π«π«π«π«π«π«π« |
Vanilla | 5 | π¦π¦π¦π¦π¦ |
Strawberry | 4 | ππππ |
Mint | 3 | πΏπΏπΏ |
Mango | 1 | π₯ |
- Interpret the Pictograph:
- Chocolate: 7 chocolate symbols mean 7 children like chocolate.
- Vanilla: 5 vanilla symbols mean 5 children like vanilla.
- Strawberry: 4 strawberry symbols mean 4 children like strawberry.
- Mint: 3 mint symbols mean 3 children like mint.
- Mango: 1 mango symbol means 1 child likes mango.
- Analysis:
- Most Popular Flavor: Chocolate (7 children)
- Least Popular Flavor: Mango (1 child)
Example 3: Number of Cars Sold by a Dealership
A car dealership recorded the number of cars sold over four months.
- 20 cars were sold in January.
- 25 cars were sold in February.
- 30 cars were sold in March.
- 15 cars were sold in April.
Step-by-Step Explanation
- Choose Symbols:
- Use a car π to represent 5 cars.
- Create the Pictograph:
Month | Number of Cars Sold | Pictograph |
---|---|---|
January | 20 | ππππ |
February | 25 | πππππ |
March | 30 | ππππππ |
April | 15 | πππ |
- Interpret the Pictograph:
- January: 4 car symbols represent 20 cars (4 Γ 5 = 20).
- February: 5 car symbols represent 25 cars (5 Γ 5 = 25).
- March: 6 car symbols represent 30 cars (6 Γ 5 = 30).
- April: 3 car symbols represent 15 cars (3 Γ 5 = 15).
- Analysis:
- Most Sales: March (30 cars)
- Least Sales: April (15 cars)
Key Takeaways
- Scaling: Depending on the quantity of data, each symbol can represent more than one item (e.g., 1 symbol = 2 or 5 items) to make the pictograph easy to understand.
- Versatility: Pictographs can be used to represent a wide range of data, from favorite items to sales figures.
Key Points to Remember
- A pictograph is a fun way to visualize data using images or symbols.
- Each image or symbol in a pictograph represents a certain quantity, which should be consistent throughout.
- Pictographs are useful for comparing quantities visually and can be easily interpreted by kids.
These examples demonstrate the versatility of pictographs in different contexts.