Handling Data - Creating and interpreting pictograms

Grade 3IGCSE

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

🔑Concepts

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A pictogram is a way of showing data using pictures or symbols.

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The Key (Legend) is the most important part; it tells you what each symbol represents (e.g., 1 picture = 2 items).

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Partial symbols represent fractions of the key value. For example, if a full circle represents 10, a half-circle represents 5.

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Data for pictograms is often collected using a tally chart first.

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To find the total for a category, you multiply the number of symbols by the value in the key.

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Pictograms make it easy to compare data visually—the longest row or column usually represents the 'Mode' or most popular item.

📐Formulae

\text{Total Value} = \text{Number of Symbols} \times \text{Value per Symbol}

\text{Value of Half Symbol} = \frac{\text{Value per Symbol}}{2}

\text{Number of Symbols to Draw} = \frac{\text{Total Data Count}}{\text{Value per Symbol}}

💡Examples

Problem 1:

A pictogram shows the number of apples eaten by Grade 3. The key states: 1 Apple Symbol = 4 apples. If Sarah has 3 full apple symbols next to her name, how many apples did she eat?

Solution:

12 apples

Explanation:

3 \times 4 = 12

Problem 2:

In a 'Favorite Pet' pictogram, 1 Paw Symbol = 10 votes. For the 'Dogs' category, there are 2 full Paw Symbols and 1 half Paw Symbol. How many people voted for Dogs?

Solution:

25 votes

Explanation:

2 \times 10 = 20

Problem 3:

You are making a pictogram where 1 Star = 5 points. If a team scored 20 points, how many Star symbols should you draw?

Solution:

4 Stars

Explanation:

20 \div 5 = 4