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Data Handling - Pictographs

Grade 3ICSE

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

🔑Concepts

Introduction to Data Handling: Data handling involves collecting information and organizing it in a way that is easy to read. A pictograph is a visual way to represent this data using pictures or symbols instead of just numbers.

The Meaning of a Symbol: In a pictograph, a specific icon (like a smiley face, a star, or a ball) represents a set of items. For example, a visual of 1 star symbol might represent 5 actual stars in the sky.

The Key or Scale: This is the most important part of a pictograph, usually found at the bottom or top of the chart. It defines the value of one symbol. For instance, the key might say 11 icon = 1010 students$. Visually, if you see 3 icons, you must calculate the total based on this key.

Interpreting Rows and Columns: Pictographs are arranged in a table format. The first column contains the names of categories (like days of the week or types of fruits), and the next column contains a row of symbols representing the quantity for that category.

Calculating Totals: To find the total number for a category, count the number of symbols and multiply it by the value specified in the key. If there are 44 apples drawn and the key says 11 apple = 22 kg, then the total is 4×2=84 \times 2 = 8 kg.

Handling Half Symbols: Sometimes, a partial or half symbol is used to represent half the value of a full symbol. Visually, if a full circle represents 1010 items, then a half-circle (a semi-circle) represents 102=5\frac{10}{2} = 5 items.

Comparison of Data: By looking at the length of the rows of symbols, you can visually compare which category has the most or least items. A longer row of pictures means a higher quantity, while a shorter row means a lower quantity.

📐Formulae

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

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

Grand Total=Sum of values for all categories\text{Grand Total} = \text{Sum of values for all categories}

💡Examples

Problem 1:

A pictograph shows the number of cupcakes sold by a bakery. The key says: 11 cupcake symbol = 55 real cupcakes. If the row for 'Friday' has 66 cupcake symbols, how many cupcakes were sold on Friday?

Solution:

  1. Identify the value of one symbol from the key: 11 symbol = 55 cupcakes.
  2. Count the symbols for Friday: 66 symbols.
  3. Multiply the number of symbols by the key value: 6×5=306 \times 5 = 30.

Explanation:

To find the total, we take the count of pictures and multiply by what each picture stands for.

Problem 2:

In a school garden pictograph, 11 flower symbol = 44 plants. The 'Rose' section shows 22 full flower symbols and 11 half flower symbol. How many rose plants are there in total?

Solution:

  1. Value of 22 full symbols: 2×4=82 \times 4 = 8 plants.
  2. Value of 11 half symbol: 42=2\frac{4}{2} = 2 plants.
  3. Add the values together: 8+2=108 + 2 = 10 rose plants.

Explanation:

When we see a half symbol, we divide the key value by 22 and add it to the total of the full symbols.