krit.club logo

Smart Charts - Reading and Drawing Pictographs

Grade 4CBSE

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

•

A Pictograph is a way of representing data using pictures or symbols. Each symbol stands for a specific number of items, which is called the 'Key'.

A diagram showing a circle symbol equaling 10 apples, illustrating the concept of a key in a pictograph.
•

To find the total value of a category, count the symbols and multiply by the value given in the key. For example, if 11 star represents 55 marks, then 33 stars represent 3×5=153 \times 5 = 15 marks.

Two star symbols representing the calculation of total value using a key.
•

Sometimes a partial symbol is used to represent a smaller value. If a full circle represents 88 people, a half-circle represents 44 people (8÷2=48 \div 2 = 4).

Comparison of a full circle and a half circle representing different values.
•

Pictographs help us compare different groups quickly by seeing which row has more symbols.

📐Formulae

Total Value of a Category=Number of Symbols×Value of One Symbol\text{Total Value of a Category} = \text{Number of Symbols} \times \text{Value of One Symbol}

Number of Symbols to Draw=Total QuantityValue of One Symbol\text{Number of Symbols to Draw} = \frac{\text{Total Quantity}}{\text{Value of One Symbol}}

Value of Half a Symbol=Value of One Symbol2\text{Value of Half a Symbol} = \frac{\text{Value of One Symbol}}{2}

💡Examples

Problem 1:

In a school garden pictograph, 11 flower symbol represents 44 plants. If the row for 'Roses' has 55 full flower symbols and 11 half-flower symbol, how many rose plants are there in total?

Solution:

1 full symbol=4 plants1 \text{ full symbol} = 4 \text{ plants} 1 half symbol=42=2 plants1 \text{ half symbol} = \frac{4}{2} = 2 \text{ plants} Total Roses=(5×4)+2=20+2=22 plants\text{Total Roses} = (5 \times 4) + 2 = 20 + 2 = 22 \text{ plants}

Explanation:

First, find the value of the full symbols by multiplying the count (55) by the key (44). Then, find the value of the half symbol by dividing the key by 22. Finally, add both values together to get the total.

Problem 2:

A shopkeeper sold 4545 ice creams on Sunday. He wants to draw a pictograph where 11 ice cream cone symbol represents 99 ice creams. How many symbols should he draw for Sunday?

Solution:

Total ice creams=45\text{Total ice creams} = 45 Key Value=9\text{Key Value} = 9 Number of symbols=459=5 symbols\text{Number of symbols} = \frac{45}{9} = 5 \text{ symbols}

Explanation:

To find the number of symbols needed for the chart, divide the total quantity of items sold by the value assigned to a single symbol in the key.

Problem 3:

The following pictograph shows the number of books read by four friends in a month. If each book symbol represents 66 books, how many books did Sarah read if her row has 33 full symbols and 11 half symbol?

Pictograph row for Sarah showing three full rectangles and one half rectangle.

Solution:

  1. Value of 1 full symbol = 66 books.
  2. Value of 1 half symbol = 6÷2=36 \div 2 = 3 books.
  3. Number of full symbols for Sarah = 33.
  4. Value of full symbols = 3×6=183 \times 6 = 18 books.
  5. Total books = 18+3=2118 + 3 = 21 books.

Explanation:

To find the total, we multiply the number of full symbols by the key and then add the value of the partial symbol.

Problem 4:

A baker sold 3232 cupcakes on Monday. He wants to represent this in a pictograph where 11 cupcake symbol represents 88 cupcakes. How many symbols should he draw for Monday?

Pictograph row showing 4 circles, each representing 8 cupcakes, totaling 32.

Solution:

  1. Total cupcakes sold = 3232.
  2. Value of 1 symbol = 88 cupcakes.
  3. Number of symbols = 32÷8=432 \div 8 = 4.
  4. The baker should draw 44 cupcake symbols.

Explanation:

To find the number of symbols to draw, divide the total quantity by the value of one symbol as per the key.