Math Problem Statement

Which histogram correctly displays the information in the table?

Solution

The task is to identify the correct histogram that displays the data presented in the table. Let's analyze the table dataThe task is to identify the correct histogram that displays the data presented in the table. Let's analyze the table

Table Information:

  • Credit Cards (Number of Credit Cards):
    • 0-2: 8
    • 3-5: 5
    • 6-8: 2
    • 9-12: 1

The corresponding frequencies for each range are provided. A correct histogram must have bars with heights representing these frequencies.

Let's now review the four histograms:

  • First histogram:

    • 0-2 range shows a frequency of 7 (should be 8).
    • 3-5 range shows a frequency of 5 (correct).
    • 6-8 range shows a frequency of 2 (correct).
    • 9-12 range shows a frequency of 1 (correct).
  • Second histogram:

    • 0-2 range shows a frequency of 8 (correct).
    • 3-5 range shows a frequency of 5 (correct).
    • 6-8 range shows a frequency of 2 (correct).
    • 9-12 range shows a frequency of 1 (correct).
  • Third histogram:

    • 0-2 range shows a frequency of 9 (should be 8).
    • 3-5 range shows a frequency of 5 (correct).
    • 6-8 range shows a frequency of 2 (correct).
    • 9-12 range shows a frequency of 1 (correct).
  • Fourth histogram:

    • 0-2 range shows a frequency of 8 (correct).
    • 3-5 range shows a frequency of 5 (correct).
    • 6-8 range shows a frequency of 2 (correct).
    • 9-12 range shows a frequency of 1 (correct).

Conclusion:

Both the second and fourth histograms correctly display the data from the table. However, since only one option can be selected, the second histogram seems to be the better fit based on clarity and consistency with the question's structure.

Would you like more details on histograms or any further clarifications?


5 Related Questions:

  1. How do you interpret the width of bars in a histogram?
  2. What is the significance of bin ranges in histograms?
  3. How can histograms be used to compare data distributions?
  4. Why is it important for the bars in a histogram to have equal widths?
  5. How do histograms differ from bar charts?

Tip:

When interpreting histograms, always check that the frequencies accurately represent the data in each bin.

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Math Problem Analysis

Mathematical Concepts

Data Representation
Histograms
Frequencies

Formulas

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Theorems

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Suitable Grade Level

Grades 6-9