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Is this frequency distribution either : definitely, is very likely not, or could reasonably be a normal distribution?

The frequency distribution shown in the image does not resemble a normal distribution. A normal distribution typically has a bell-shaped curve, where the frequencies start low, increase towards the center, and then decrease symmetrically as they move away from the center.

In this case, the distribution's frequencies do not follow that pattern. For instance:

- The highest frequency is in the 60-69.9 kg interval (24).
- The frequencies start low (3 in 40-49.9 kg), rise to the peak at 60-69.9 kg, and then drop off unevenly.

This uneven distribution suggests that it is not symmetric or bell-shaped. Therefore, the correct answer to the question is **"is very likely not"** a normal distribution.

Would you like more details on how to analyze distributions, or any related topics? Here are some related questions for further exploration:

1. What are the key characteristics of a normal distribution?
2. How do you calculate the mean and standard deviation from a frequency distribution?
3. What is skewness, and how can it affect the shape of a distribution?
4. How could this distribution be described if it's not normal?
5. What statistical tests can be used to verify whether a distribution is normal?

**Tip:** When assessing whether a distribution is normal, always check for symmetry and a single central peak.

Is this frequency distribution either: definitely, is very likely not, or could reasonably be a normal distribution?

Explore whether a given frequency distribution of college students' weights resembles a normal distribution. Learn key statistics concepts, including frequency distribution, the empirical rule, and how to assess normality using data. Suitable for high school students (Grades 9-12).

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