https://file.aiquickdraw.com/mathbot/file/1729475436870yiea9ggq.jpg

The graph in your image shows a cumulative frequency curve (ogive) titled "Leisure Time of College Students" with the number of hours on the x-axis and the cumulative frequency (number of students) on the y-axis.

The question asks you to approximate the total number of students in the sample based on the ogive.

Looking at the ogive:
- The cumulative frequency reaches around 80 at the highest point (the rightmost point of the curve), indicating that there are 80 students in total in the sample.

Thus, the correct answer to the question is **80** (option A).

Would you like more details about how this approximation works or any further clarification?

### Follow-up questions:
1. What is the purpose of an ogive in statistics?
2. How do you interpret cumulative frequency from such a graph?
3. What are other methods of displaying cumulative data?
4. How would the ogive look if the data were continuous instead of discrete?
5. What is the difference between a frequency polygon and an ogive?

### Tip:
Always make sure to check the highest cumulative frequency point on an ogive to determine the total sample size.

Use the ogive to approximate the number in the sample (from the graph titled 'Leisure Time of College Students').

Learn how to approximate the sample size of college students using an ogive graph. The problem involves interpreting cumulative frequency and understanding how ogives visually represent the accumulation of data points. This solution is ideal for high school students (Grades 9-12).

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