# 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 |

**mathsmd.com**

**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 |

**mathsmd.com**

**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.**

- Use a dog πΆ to represent
**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 |

**mathsmd.com**

**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.**

- Use a chocolate bar π« to represent
**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₯ |

**mathsmd.com**

**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.**

- Use a car π to represent
**Create the Pictograph:**

Month | Number of Cars Sold | Pictograph |
---|---|---|

January | 20 | ππππ |

February | 25 | πππππ |

March | 30 | ππππππ |

April | 15 | πππ |

**mathsmd.com**

**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.