To identify the correct histogram for the frequency distribution, let's analyze the given frequency table:

• Bin [2, 7): Frequency 2
• Bin [7, 12): Frequency 2
• Bin [12, 17): Frequency 5
• Bin [17, 22): Frequency 7
• Bin [22, 27): Frequency 3

We can use these values to find the histogram that matches the bin heights based on the frequencies.

Let's analyze each of the histograms in the image:

1. The first histogram has bars in the following order of heights: 4, 2, 5, 4, and 2.
2. The second histogram has bar heights of 2, 2, 5, 7, and 3, matching our frequency data.
3. The third and fourth histograms display different bar heights inconsistent with the frequency distribution.

Thus, the correct answer is the second histogram, as it matches the given frequency distribution.

Would you like a further breakdown of each bin and frequency calculation?

Here are some additional related questions you might find interesting:

1. How are histograms used to represent frequency distributions?
2. What other graphical representations can show frequency distributions effectively?
3. Why are intervals or bins used in histograms, and how do they impact data interpretation?
4. How can we calculate cumulative frequencies from a histogram?
5. What are some common mistakes in interpreting histograms?

Tip: When reading histograms, pay close attention to the axis labels and bar heights, as they directly represent the frequencies of each bin.