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To calculate the percentage of attendees who were over 55 years old from the cumulative frequency diagram, follow these steps:

1. **Determine the total number of attendees:**  
   From the diagram, the cumulative frequency reaches **80** at the highest point, which indicates that there are 80 people in total (as the problem mentions).

2. **Find the cumulative frequency at 55 years old:**  
   Looking at the graph, the cumulative frequency corresponding to 55 years is approximately **60**. This means 60 people are aged 55 or younger.

3. **Calculate the number of people over 55 years old:**  
   The number of people over 55 is:
   \[
   80 - 60 = 20
   \]
   So, 20 people are over 55 years old.

4. **Calculate the percentage of people over 55 years old:**  
   The percentage is given by:
   \[
   \left( \frac{20}{80} \right) \times 100 = 25\%
   \]

Thus, **25%** of the attendees were over 55 years old.

Would you like a more detailed explanation or have any other questions?

Here are 5 related questions to explore:
1. How do you interpret cumulative frequency diagrams for different age groups?
2. What is the purpose of cumulative frequency diagrams in data analysis?
3. How would the graph change if the number of people under 40 increased?
4. How can you estimate the median from a cumulative frequency diagram?
5. What is the importance of cumulative frequency in determining percentiles?

**Tip:** When interpreting cumulative frequency diagrams, remember that the steepness of the curve represents the rate of increase in frequency within that range.

80 people attend an outdoor yoga session. Their ages are recorded and used to draw a cumulative frequency diagram. Work out the percentage of attendees that were over 55 years old.

Learn how to determine the percentage of attendees over 55 years old from a cumulative frequency diagram with 80 attendees. This problem demonstrates key concepts like cumulative frequency and percentage calculation. Suitable for Grades 7-10 students.

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