Bar Graph Worksheets - Free Printable

The image you've uploaded is a completed math worksheet titled "Drawing Double Line Graph", which includes an answer key for a graphing exercise. The task was to create a double line graph based on the given data about the average number of passengers for Nova Air during morning and afternoon flights across the days of the week.

Let’s break down the problem and explain the solution step-by-step:

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🔹 Problem Description

You are given a table with:
- Days of the week (Monday to Sunday)
- Average number of passengers in the morning and afternoon

Your goal:
👉 Draw a double line graph showing both morning and afternoon passenger trends over the week, using different colors for each.

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🔹 Given Data

| Day | Morning | Afternoon |
|-----------|--------|----------|
| Monday | 900 | 400 |
| Tuesday | 750 | 500 |
| Wednesday | 300 | 950 |
| Thursday | 850 | 400 |
| Friday | 600 | 700 |
| Saturday | 800 | 500 |
| Sunday | 650 | 950 |

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🔹 Graph Details

- Title: Nova Air Passengers
- X-axis (horizontal): Days of the week (Monday to Sunday)
- Y-axis (vertical): Average number of passengers (0 to 1000, in increments of 100)
- Two lines:
- Blue line: Morning passengers
- Red line: Afternoon passengers
- Key (legend): Indicates which color corresponds to which time

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🔹 Step-by-Step Solution Process

1. Set up the axes:
- Label X-axis with days from Monday to Sunday.
- Label Y-axis from 0 to 1000 in steps of 100.

2. Plot the points:
- For each day, plot two points:
- One for morning (blue)
- One for afternoon (red)

Example:
- Monday: (Morning: 900, Afternoon: 400) → Plot blue at 900, red at 400
- Tuesday: (750, 500)
- Wednesday: (300, 950)
- Continue similarly...

3. Connect the points:
- Connect all morning points with a blue line.
- Connect all afternoon points with a red line.
- This creates two trend lines showing how passenger numbers change throughout the week.

4. Label and interpret:
- Add a title: "Nova Air Passengers"
- Include a key indicating blue = morning, red = afternoon
- Ensure axes are labeled clearly.

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🔹 Interpretation of the Graph

Looking at the completed graph:
- Morning traffic peaks on Monday (900) and drops sharply on Wednesday (300), then rises again.
- Afternoon traffic is low on Monday (400) but spikes on Wednesday (950) and Sunday (950).
- There's a clear inverse pattern between morning and afternoon:
- When morning is high, afternoon tends to be lower, and vice versa.
- Wednesday shows the biggest contrast: very low morning (300), very high afternoon (950).
- Sunday has high afternoon ridership (950), while morning is moderate (650).

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🔹 Conclusion

✔ The answer key correctly plots:
- Blue line for morning passengers
- Red line for afternoon passengers
- All points match the data table
- Lines are smooth and properly connected
- Key and labels are included

This graph effectively visualizes the daily variation in passenger counts for Nova Air, showing how demand shifts between morning and afternoon across the week.

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✔ Final Answer:

The graph is correctly drawn as per the data provided. It accurately represents the average number of passengers for morning and afternoon flights using two distinct colored lines (blue for morning, red for afternoon). The graph helps compare trends and identify peak times.

> 📌 Tip for students: Always double-check that your plotted points match the table, and use different colors or styles for clarity when drawing multiple lines on one graph.