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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. It makes information easy to understand at a single glance by showing quantities visually through rows of icons.

The 'Key' or 'Scale' is a vital instruction usually placed at the bottom of the chart. It explains the value of a single symbol, for example, 1 symbol=10 units1 \text{ symbol} = 10 \text{ units}. Without the key, the pictograph cannot be interpreted correctly.

Data in a pictograph is organized into a table with rows and columns. One column contains the categories (like 'Types of Fruits' or 'Days of the Week'), and the rows show a horizontal line of pictures representing the count for that category.

To calculate the total value for any category, you must count the number of symbols in that row and multiply it by the value given in the key. The visual length of the row helps in comparing which category has more or less data.

Sometimes, a 'Half Symbol' is used to represent exactly half of the value assigned in the key. Visually, if a full circle represents 88 people, a semi-circle (half-circle) would represent 44 people.

When drawing a pictograph, it is important to choose a simple symbol that is easy to repeat. If you have large numbers like 5050 or 100100, you should choose a larger scale (like 1 symbol=101 \text{ symbol} = 10) so that you don't have to draw too many icons.

Pictographs allow for quick visual comparison. By looking at the chart, the longest row of pictures represents the 'Mode' or the most frequent item, while the shortest row represents the least frequent item.

📐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.