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Part 1
A random sample of 30 college students is selected. Each student is asked how much time they spent on homework during the previous week. The following times​ (in hours) are obtained.
18​, 25​, 23​, 21​, 20​, 20​, 19​, 18​, 15​, 16​, 23​, 15​, 21​, 22​, 17​, 20​, 25​, 19​, 19​, 18​, 16​, 15​, 19​, 21​, 25​, 23​, 16​, 18​, 25​, 22
 
Construct a frequency distribution for the data.

I have provided the frequency distribution for the given homework hours data. Do you need further details or have any questions?

Here are some related questions for further exploration:
1. How would the frequency distribution change if the sample size were increased?
2. What is the mode of this dataset, and how can it be identified from the frequency distribution?
3. How would you create a cumulative frequency distribution for the same data?
4. What are the potential benefits of using a frequency distribution to analyze this type of data?
5. How can this frequency distribution be represented graphically for better visualization?

**Tip:** Frequency distributions are especially useful for identifying patterns, such as the most common values (mode), and for simplifying data analysis.

A random sample of 30 college students is selected. Each student is asked how much time they spent on homework during the previous week. The following times​ (in hours) are obtained. 18​, 25​, 23​, 21​, 20​, 20​, 19​, 18​, 15​, 16​, 23​, 15​, 21​, 22​, 17​, 20​, 25​, 19​, 19​, 18​, 16​, 15​, 19​, 21​, 25​, 23​, 16​, 18​, 25​, 22. Construct a frequency distribution for the data.

Explore how to construct a frequency distribution for homework hours from a sample of 30 college students, with data ranging from 15 to 25 hours. This problem covers foundational concepts in statistics and data analysis, ideal for students in Grades 10-12.

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