Math Problem Statement
Number of children in six different classes are given below. Represented the data on a bar graph Class , Fifth 135, Sixth 120,eight 100, Nineth 90 tenth 80 a) how would you choose a scale?
Solution
To represent the given data on a bar graph, we need to choose an appropriate scale for the y-axis (the axis representing the number of children) so that the values can be clearly and accurately displayed. Here’s how you can choose a scale:
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Determine the range of data:
- The highest value is 135 (for Class Fifth).
- The lowest value is 80 (for Class Tenth).
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Choose a scale:
- The scale should cover the range from 0 to at least 135.
- It should be easy to plot and read the values.
Considering the values, we can choose a scale where each unit represents 10 children. This will make the graph easy to read and plot. Here’s how the scale might look:
- 0
- 10
- 20
- 30
- 40
- 50
- 60
- 70
- 80
- 90
- 100
- 110
- 120
- 130
- 140
Steps to Create the Bar Graph
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Draw the axes: Draw a horizontal axis (x-axis) and a vertical axis (y-axis).
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Label the axes:
- The x-axis represents the different classes (Fifth, Sixth, Eighth, Ninth, Tenth).
- The y-axis represents the number of children.
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Mark the scale on the y-axis: Mark the scale from 0 to 140, with intervals of 10.
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Draw the bars:
- For Class Fifth, draw a bar up to 135.
- For Class Sixth, draw a bar up to 120.
- For Class Eighth, draw a bar up to 100.
- For Class Ninth, draw a bar up to 90.
- For Class Tenth, draw a bar up to 80.
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Label the bars: Label each bar with the corresponding class name.
Here’s the data in tabular form to help visualize:
Class | Number of Children |
---|---|
Fifth | 135 |
Sixth | 120 |
Eighth | 100 |
Ninth | 90 |
Tenth | 80 |
Would you like a detailed explanation or have any other questions?
Related Questions
- How do you determine the best interval for a bar graph scale?
- What are some common mistakes to avoid when creating a bar graph?
- How can you represent this data using a pie chart instead?
- What are the benefits of using a bar graph to represent this data?
- How would you interpret this bar graph?
- What other types of graphs can be used to represent this data?
- How can you enhance the visual appeal of your bar graph?
- How does the choice of scale affect the readability of the graph?
Tip
Always label your axes and bars clearly to ensure that your graph is easy to read and understand.
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Math Problem Analysis
Mathematical Concepts
Bar Graphs
Scale Selection
Formulas
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Theorems
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Suitable Grade Level
Not applicable