Line graphs - Statistics (Handling Data) Maths Worksheets for Year ... - Free Printable

Let's solve each question based on the line graph showing the growth of a sunflower over 6 months (January to July). We'll go step by step.

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🔍 Understanding the Graph

- The x-axis shows months: Jan, Feb, Mar, Apr, May, Jun, Jul.
- The y-axis shows height in centimetres (cm), from 0 to 100 cm.
- Each point represents the height of the sunflower at the start of each month.
- The line connects these points to show growth over time.

We can read the heights from the graph:

| Month | Height (cm) |
|-------|-------------|
| Jan | 10 cm |
| Feb | 20 cm |
| Mar | 40 cm |
| Apr | 70 cm |
| May | 80 cm |
| Jun | 90 cm |
| Jul | 90 cm |

> Note: In June and July, the height is the same (90 cm), so it stopped growing after June.

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✔ Answering the Questions

#### 1. What was the height of the sunflower in March?
- Look at the point for March on the graph.
- It aligns with 40 cm on the y-axis.

✔ Answer: 40 cm

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#### 2. In what month did the sunflower stop growing?
- The sunflower grows from January to June.
- From June to July, the height stays at 90 cm — no increase.
- So, it stopped growing in June.

✔ Answer: June

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#### 3. How many centimetres did the sunflower grow between April and June?
- April height = 70 cm
- June height = 90 cm
- Growth = 90 - 70 = 20 cm

✔ Answer: 20 cm

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#### 4. How much taller was the sunflower in June than in January?
- June height = 90 cm
- January height = 10 cm
- Difference = 90 - 10 = 80 cm

✔ Answer: 80 cm

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#### 5. Is the data shown on the graph discrete or continuous?
- Discrete data: values that are separate (e.g., counts, specific measurements).
- Continuous data: can take any value within a range (e.g., time, temperature).

Even though we plot monthly points, the growth of a plant happens continuously over time. But since we only have monthly measurements, the data is recorded at intervals.

So, this is discrete data because it’s measured only at specific points (each month), not continuously.

✔ Answer: Discrete

> 📝 Note: While growth itself is continuous, the data shown is discrete because it's recorded monthly.

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#### 6. Use the data below to draw a line graph of the growth of another sunflower:

Data:
| Month | Feb | Mar | Apr | May | Jun | Jul | Aug | Sep |
|-------|-----|-----|-----|-----|-----|-----|-----|-----|
| Height| 45 cm | 65 cm | 75 cm | 85 cm | 90 cm | 100 cm | 95 cm | 90 cm |

We need to draw a line graph using this data.

##### Steps to draw:
1. Label axes:
- X-axis: Months (Feb to Sep)
- Y-axis: Height (cm), scale from 0 to 100 cm
2. Plot each point:
- Feb: (Feb, 45)
- Mar: (Mar, 65)
- Apr: (Apr, 75)
- May: (May, 85)
- Jun: (Jun, 90)
- Jul: (Jul, 100)
- Aug: (Aug, 95)
- Sep: (Sep, 90)
3. Connect the points with straight lines.

> This second sunflower grew steadily until July (peak at 100 cm), then slightly declined in August and September.

✔ You would draw this on graph paper following the above steps.

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✔ Final Answers Summary:

1. 40 cm
2. June
3. 20 cm
4. 80 cm
5. Discrete
6. Draw a line graph using the given data (as described above)

Let me know if you'd like a visual sketch of the second graph!