https://file.aiquickdraw.com/mathbot/file/1728930297085332qn41m.jpg

Based on the frequency distribution given in the table, let's analyze the data to choose the correct histogram and determine if the distribution appears to be approximately normal.

**Frequency Distribution:**
- Class A (39–44): Frequency = 1
- Class B (45–50): Frequency = 3
- Class C (51–56): Frequency = 7
- Class D (57–62): Frequency = 10
- Class E (63–68): Frequency = 5
- Class F (69–74): Frequency = 3
- Class G (75–80): Frequency = 2

This distribution shows that the highest frequency is centered around class D (57–62) and the frequency gradually decreases as we move away from this center.

### Analysis of the Histograms:
Comparing this data pattern with the histograms provided in the image:
- **Histogram D** most accurately represents this pattern. It shows a peak around the middle class (D), with frequencies decreasing as we move to either side of the peak, which matches the given data.

### Determining Normality:
A normal distribution typically appears as a symmetric bell-shaped curve, where most of the values cluster around a central peak and taper off equally on both sides. While the data has a peak in the center (class D), the decrease in frequency is not perfectly symmetric. However, it still follows a somewhat bell-shaped curve.

Based on the options provided, the answer to whether the data is approximately normal would be:
- **Option D: Yes, it is approximately normal.**

Would you like more details or have any other questions?

### Related Questions:
1. What is the definition of a normal distribution?
2. How do you interpret the symmetry of a histogram in statistics?
3. What are some common characteristics of data that is not normally distributed?
4. What is the role of the mean and standard deviation in a normal distribution?
5. How can you check if a distribution is normal using statistical tests?

**Tip:** When analyzing histograms, always look for the shape of the distribution and check if it resembles a bell curve for normality!

The frequency distribution below represents frequencies of actual low temperatures recorded during the course of a 31-day month. Use the frequency distribution to construct a histogram. Do the data appear to have a distribution that is approximately normal?

Learn how to construct a histogram from a given frequency distribution of low temperatures over a 31-day month. Analyze if the data is approximately normal by examining its shape and distribution. Suitable for students in Grades 9-11 studying statistics.

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