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Pictographs in Maths Explained Clearly

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How to Read and Create a Pictograph with Examples

What Is a Pictograph?

The pictograph meaning can be explained as the way to represent data by depicting it through images is known as a pictograph. Every image is representing a number of something or units of the data. The representation of the data can be in the form of symbols or pictures.

This is a basic pictograph example.

This is an example which shows the data of a number of red boxes sold on each day of the week.

Some examples of Pictograph in Maths can be: 

Example 1: 

The data shows the number of apples sold individually in the months of April and May.

Month 

March 

April 

Number of apples sold 

15

25


We can represent this data in the following manner by using a pictograph: 

Month 

March 

April 

Number of apples sold 




Here one represents 5 apples. 

Example 2: 

The data shows the number of ice creams sold by shops A, B and C. 

Shop 

A

C

Ice creams sold 

18

24

42


We can represent this data in the following manner by using a pictograph: 

Shop 

A

C

Ice creams sold 





Here, one represents 6 ice creams. 

Example 3: 

Company name 

Maruti 

Hyundai

Ford

Number of cars sold in May 2020

8000

5000

3000


We can represent this data in the following manner by using a pictograph: 

Company name 

Number of cars sold in May 2020

Maruti


Hyundai


Ford 



Here, represents 1000 cars.

Pictographs and problem sums 

Pictographs can also be a part of certain problem sums.  

Example 4: 

We have data on the flavour of ice-creams sold by Shop ABC in one day. 

Ice cream flavours

Vanilla 

Chocolate 

Mango 

Strawberry 

Shop ABC 

8

10

9

6


Let us make a pictograph to understand this situation and answer the questions beneath: 

Flavours 

Number of pieces sold in one day 

Vanilla 


Chocolate 


Mango 


Strawberry 



Let us try to interpret the information given in the data by answering some questions: 

  1. Which is the best-selling flavour of ice cream at Shop ABC? 

Ans) Chocolate is the best-selling flavour of ice cream at Shop ABC.

  1. Which is the least-selling flavour of ice cream at Shop ABC? 

Ans) Strawberry is the least-selling flavour of ice cream at Shop ABC.

  1. What is the total number of ice creams sold in a day? 

Ans) the total number of ice creams sold is 33.


Different methods of pictorial representation

There are various other methods for representing data through pictorial ways. They are bar graphs, line charts or line graphs and pie charts.

  1. Bar Graph 

A bar graph is a very simple graph which is used to compare different entities.  It is very easy to show the changes in some properties of a subject over time using a bar graph. They are widely used in the industry today for presentations and reports. They allow identifying different trends and patterns of the data from their bar graphs.

Let us take an example to understand the bar graph: 

Name 

A

B

C

D

Number of Pens 

5

2

3

1


This data can be plotted in a bar graph as follows: 

  1. Line Graph 

It is also known as a line chart and is used to understand the change in the value of something over a period of time. The data is plotted as data points in the (x, y) format. It has two axes. The horizontal axis and the vertical axis. It is a straight line connected by data points. It is commonly used to make forecasts and predictions in the industry today. 

This is an example of a line chart or a line graph

  1. Pie chart 

A pie chart is a circular representation of data depicting a pie. It is divided into slices to represent the numbers and their proportions in the whole data. Generally, they are used for representing percentage data. They can summarize a large amount of data and depict it in a visual manner easily.

Example: It is a depiction of the number of animals of each type on a farm.

Do You Know

  1. Pictographs were used by many ancient cultures for their writing systems. As a matter of fact, many languages have a direct line of descent from pictographs. 

  1. Pictographs are widely used as ideograms and memory aids. 

FAQs on Pictographs in Maths Explained Clearly

1. What is a pictograph in Maths?

A pictograph is a type of data representation that uses pictures or symbols to show numbers in a dataset. In a pictograph, each picture represents a fixed number of items, which is shown using a key or scale.

  • Used to display categorical data.
  • Each symbol stands for a specific quantity.
  • Makes data easy to understand visually, especially for beginners.
For example, if one star represents 5 students, 4 stars represent 20 students.

2. How do you read a pictograph?

To read a pictograph, first check the key to know what each symbol represents, then count the symbols and multiply by the key value. Follow these steps:

  • Step 1: Identify the key (e.g., 1 symbol = 10 items).
  • Step 2: Count the number of symbols in each category.
  • Step 3: Multiply the number of symbols by the value of one symbol.
For example, if there are 3 circles and 1 circle = 4 books, then total books = 3 × 4 = 12.

3. How do you make a pictograph step by step?

To make a pictograph, organize the data, choose a suitable symbol, and assign a key value. Follow these steps:

  • Step 1: Collect and list the data clearly.
  • Step 2: Choose a simple picture or symbol.
  • Step 3: Decide the key (scale), such as 1 symbol = 5 items.
  • Step 4: Draw symbols according to the data values.
Ensure the key is clearly written so the pictograph can be interpreted correctly.

4. What is the key in a pictograph?

The key in a pictograph tells how many items each symbol represents. It acts as a scale that helps convert pictures into actual numerical values.

  • Usually written below or beside the chart.
  • Example: 1 apple symbol = 2 fruits.
  • If 5 apple symbols are shown, total fruits = 5 × 2 = 10 fruits.
Without the key, the pictograph cannot be interpreted correctly.

5. What is the difference between a pictograph and a bar graph?

The main difference between a pictograph and a bar graph is that pictographs use pictures to represent data, while bar graphs use rectangular bars. Key differences include:

  • Pictograph: Uses symbols with a key.
  • Bar graph: Uses bars with a numerical scale.
  • Pictographs are more visual and simple.
  • Bar graphs are more precise for large data values.
Both are used to represent categorical data but differ in presentation style.

6. Can you give an example of a pictograph with a solution?

Yes, a pictograph example shows how symbols represent numbers using a key. Example:

  • Key: 1 car symbol = 3 cars.
  • Monday: 4 symbols
Total cars sold on Monday = 4 × 3 = 12 cars.This method of multiplying the number of symbols by the key gives the correct data value.

7. Why are pictographs used in primary classes?

Pictographs are used in primary classes because they make data handling simple and visually engaging. They help students:

  • Understand basic data representation.
  • Learn counting and multiplication using keys.
  • Interpret information quickly.
Pictographs build a foundation for advanced topics like bar graphs and statistics.

8. What are the advantages of pictographs?

The main advantage of a pictograph is that it represents data in a simple and attractive visual form. Benefits include:

  • Easy to read and interpret.
  • Useful for small datasets.
  • Engaging for young learners.
However, pictographs may not be suitable for very large or complex data.

9. What are common mistakes when reading a pictograph?

A common mistake when reading a pictograph is ignoring the key or miscounting symbols. Frequent errors include:

  • Forgetting to multiply by the key value.
  • Misinterpreting half symbols.
  • Counting symbols incorrectly.
Always check the key first and calculate carefully to avoid incorrect answers.

10. How do you calculate totals from a pictograph?

To calculate totals from a pictograph, multiply the number of symbols by the value given in the key and then add if needed. Steps:

  • Count symbols in each category.
  • Multiply by the key value.
  • Add the results for a grand total if required.
For example, if 1 symbol = 5 items and there are 6 symbols, total = 6 × 5 = 30 items.