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Create a graphical representation of the following dataset representing the shoe sizes of a kindergarten class:

{10.5,11,10,10.5,11,10.5,11.5,10,9,9.5,10,10.5,10.5,10,11}

(1 point)
Responses

An illustration shows a horizontal histogram. The x-axis is not labeled, but 5 vertical lines extend upward and parallel to the y-axis. The y-axis shows 3 value ranges. The value for the range of 9 to 9.5 extends to 4 vertical lines.The value for 10 to 10.5 extends to 5 vertical lines. The value for 11 to 11.5 extends to 2 vertical lines.
Image with alt text: An illustration shows a horizontal histogram. The x-axis is not labeled, but 5 vertical lines extend upward and parallel to the y-axis. The y-axis shows 3 value ranges. The value for the range of 9 to 9.5 extends to 4 vertical lines.The value for 10 to 10.5 extends to 5 vertical lines. The value for 11 to 11.5 extends to 2 vertical lines.

An illustration shows a bar graph. The x-axis is labeled shoe size and ranges from 9 to 11 and one half in half size increments. The y-axis is labeled frequency and ranges from 0 to 5 in one unit increments. The bar value for shoe size 9 is 1. The value for size 9.5 is 1. The value for size 10 is 4. The value for size 10.5 is 5. The value for size 11 is 3. The value for size 11.5 is 1.
Image with alt text: An illustration shows a bar graph. The x-axis is labeled shoe size and ranges from 9 to 11 and one half in half size increments. The y-axis is labeled frequency and ranges from 0 to 5 in one unit increments. The bar value for shoe size 9 is 1. The value for size 9.5 is 1. The value for size 10 is 4. The value for size 10.5 is 5. The value for size 11 is 3. The value for size 11.5 is 1.

An illustration shows a line graph. The x-axis is labeled shoe size and ranges from 9 to 11 and one half in half size increments. The y-axis is labeled frequency and ranges from 0 to 5 in one unit increments. Points are plotted on the graph indicating values for each shoe size. A line connects the points. The value for shoe size 9 is 1. The value for size 9.5 is 1. The value for size 10 is 4. The value for size 10.5 is 5. The value for size 11 is 3. The value for size 11.5 is 1.
Image with alt text: An illustration shows a line graph. The x-axis is labeled shoe size and ranges from 9 to 11 and one half in half size increments. The y-axis is labeled frequency and ranges from 0 to 5 in one unit increments. Points are plotted on the graph indicating values for each shoe size. A line connects the points. The value for shoe size 9 is 1. The value for size 9.5 is 1. The value for size 10 is 4. The value for size 10.5 is 5. The value for size 11 is 3. The value for size 11.5 is 1.

An illustration shows a scatterplot. The x-axis is labeled shoe size and ranges from 9 to 13 in one unit increments. The y-axis is labeled student age and ranges from 0 to 8 in 2 unit increments. Points are plotted on the graph indicating values for each shoe size. The value for shoe size 9 is 5. The value for shoe size 9.5 is 5. The values for shoe size 10 are 5 and 6. The values for shoe size 10.5 are 5 and 6. The values for shoe size 11 are 5 and 6. The value for shoe size 11.5 is 6.

1 answer

The appropriate graphical representation of the given dataset for shoe sizes in a kindergarten class would be the bar graph.

Here is a summary of the dataset and the corresponding frequencies of each shoe size:

  • Shoe Size 9: 1
  • Shoe Size 9.5: 1
  • Shoe Size 10: 4
  • Shoe Size 10.5: 5
  • Shoe Size 11: 3
  • Shoe Size 11.5: 1

Based on this data, the bar graph clearly shows the frequency of each shoe size along the x-axis (shoe sizes ranging from 9 to 11.5) while the y-axis represents the frequency of students having those shoe sizes.

Description of the Correct Graph:

  • X-axis: Labeled "Shoe Size" with increments from 9 to 11.5 in half size steps.
  • Y-axis: Labeled "Frequency," ranging from 0 to 5 in unit increments.
  • The bars would illustrate:
    • Height of 1 for shoe sizes 9 and 9.5.
    • Height of 4 for shoe size 10.
    • Height of 5 for shoe size 10.5.
    • Height of 3 for shoe size 11.
    • Height of 1 for shoe size 11.5.

Conclusion: The correct choice is the bar graph, as it accurately conveys the distribution of shoe sizes in the class with clear labeling and organized data representation.