Pictographs - Comprehension of pictorial information
Introduction
A Pictograph is a way of representing statistical data using pictures or icons. It is a highly effective tool to display large amounts of information in limited space and to perform comparative analysis.
Explanation Step by Step
Data in a pictograph is shown using a fixed 'Scale'. A scale defines how many units one single picture represents. To solve problems, we must relate the number of pictures to the given scale.
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Sub-topics
Pictographs - Comprehension of pictorial information
Understanding a pictograph involves:
- Identifying the category or subject of the data.
- Reading the scale provided at the bottom or corner.
- Calculating the total value by multiplying icons with the scale.
Examples
Example 1
A chart shows 3 bicycle icons. Scale: 1 icon 🚲 = 10 bicycles.
Total bicycles = 3 × 10 = 30 bicycles.
Tricks and Shortcuts
To find the difference between two rows, subtract the number of icons first, then multiply the result by the scale.
Common Mistakes
Ignoring the scale and just counting the number of icons as the final answer.
Practice Questions
Easy Questions
- If 1 star icon ⭐ = 5 marks, how many marks do 4 stars represent?
- What is the primary purpose of using a scale in a pictograph?
- How many icons are needed to show 20 students if 1 icon 👤 = 4 students?
Medium Questions
- In a garden, there are 6 rose icons and 4 lily icons. Scale: 1 icon 🌹 = 5 flowers. How many more roses are there than lilies?
- A shop sold 50 pens. If the scale is 1 pen icon 🖊️ = 10 pens, how many icons should be drawn?
- Row A has 3 icons and Row B has 7 icons. Scale: 1 icon 📦 = 2 units. Find the sum of total units in Row A and Row B.
Hard Questions
- If 3 icons 🎁 represent 45 items, what is the scale (value of 1 icon)?
- A pictograph shows 8 icons for Monday and 5 icons for Tuesday. If the scale is 1 icon = 15 units, find the total units for both days combined.
- A farmer has 120 cows. He uses a scale of 1 icon 🐄 = 20 cows. If he sells 40 cows, how many icons will be removed from his pictograph?
Revision Summary
Pictographs simplify complex data. Always multiply the number of pictures by the scale to get the actual value.
How many sacks of rice and wheat together were sold?
| Grains | Sacks |
| Rice | 🔺🔺🔺🔺🔺 |
| Sorghum | 🔺🔺🔺🔺🔺 |
| Pearl Millet | 🔺🔺🔺🔺🔺🔺🔺 |
| Wheat | 🔺🔺🔺 |
| Quantity | 1 Picture = 50 kg |
A
8
B
10
C
40
D
50
Total how many students information is in the table?
| Means of Transport to School | Number of students |
| On Foot (Walking) | 👦👦👦 |
| Bicycle | 👦👦👦👦 |
| Rickshaw | 👦👦👦👦👦👦 |
| With Parents | 👦👦 |
| Proportion | 1 picture = 50 students |
A
75
B
50
C
500
D
750