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Cambridge (CIE) IGCSE Maths
Revision NotesLine Charts, Bar Charts & Pictograms
Line Charts, Bar Charts & Pictograms
Line Charts
A line chart is a graphical way to show how data changes over time. It is useful for spotting trends, patterns, and fluctuations in data.
- Points represent data values at specific times (e.g., months, years).
- Points are plotted on a grid with time on the horizontal axis (x-axis) and the quantity on the vertical axis (y-axis).
- Points are connected by straight lines to show how the data changes between recorded times.
Line charts help interpret whether values are increasing, decreasing, or staying constant over time.
For instance, if a shop records the number of customers each month, a line chart can show whether business is growing or declining.
Example: A shop records the number of customers over 5 months as follows:
- January: 120 customers
- February: 150 customers
- March: 130 customers
- April: 170 customers
- May: 160 customers
Plot these points on a graph with months on the x-axis and number of customers on the y-axis. Connect the points in order to see the trend.
You will notice an overall increase from January to April, then a slight decrease in May.
Worked Example
Example: The temperature (in ) recorded at noon over 6 days is: 15, 17, 14, 20, 22, 19. Draw a line chart to show this data and describe the trend.
Worked Example
Example: A student records the number of pages read each day over a week: 10, 12, 8, 15, 20, 18, 22. Draw a line chart and explain what it shows.
- Always label your axes clearly with units (e.g., days, customers, ).
- Use a suitable scale so the data fits well on the graph and differences are visible.
- Line charts are best for continuous data over time.
Bar Charts
Bar charts use rectangular bars to represent data. The length or height of each bar corresponds to the quantity it represents.
- Bars can be drawn vertically or horizontally.
- Each bar represents a category or group.
- The bars are spaced apart to show that categories are separate.
- The height or length of each bar is proportional to the value it represents.
Bar charts are useful for comparing quantities across different categories.
For example, a bar chart can show how many students prefer different types of fruit: apples, bananas, oranges, and grapes.
When drawing bar charts:
- Choose an appropriate scale on the value axis so bars fit well.
- Label each axis clearly, including units if applicable.
- Bars should be the same width and evenly spaced.
Example: The number of pets owned by children in a class is:
- Dogs: 8
- Cats: 5
- Rabbits: 3
- Fish: 6
Draw a vertical bar chart with pet types on the x-axis and number of pets on the y-axis. The bar for dogs will be the tallest at 8 units, cats shorter at 5, and so on.
Worked Example
Example: A survey records the number of cars of different colours in a car park: Red 12, Blue 9, Green 7, Black 15, White 11. Draw a bar chart to represent this data.
Worked Example
Example: The number of books read by students in a month is: Alice 4, Ben 6, Cara 3, Dan 5. Draw a horizontal bar chart.
- Always start the value axis at zero to avoid misleading comparisons.
- Use consistent bar widths and spacing for clarity.
- Bar charts are ideal for comparing discrete categories.
Pictograms
Pictograms use pictures or symbols to represent data. Each picture stands for a fixed number of items.
- Symbols should be clear and easy to count.
- The key or legend shows how many items each symbol represents (e.g., 1 symbol = 5 cars).
- Partial symbols can be used to represent fractions of the unit.
Pictograms are visually appealing and make data easy to understand at a glance.
For example, if 1 smiley face represents 3 students, then 4 smiley faces represent 12 students.
When interpreting pictograms:
- Count the number of symbols for each category.
- Multiply by the value each symbol represents.
- Include partial symbols as fractions of the value.
Example: A pictogram shows the number of bicycles sold in a week. Each bicycle symbol represents 2 bikes. If there are 5 symbols for Monday, that means bikes sold.
Worked Example
Example: A pictogram shows the number of books sold by a shop each day. Each book symbol represents 4 books. Tuesday has 3 symbols, Wednesday has 5 symbols, and Thursday has 2.5 symbols. Find the number of books sold each day.
Worked Example
Example: Create a pictogram to represent the number of pets owned by children: 6 dogs, 9 cats, 3 rabbits. Use 1 symbol to represent 3 pets.
- Always include a key explaining what each symbol represents.
- Use partial symbols carefully to show fractional amounts.
- Check calculations by multiplying symbols by their value to ensure accuracy.
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