The following chart shows the ages of 250 randomly selected residents of a country.Use the relative frequency distribution based on the (rounded) midpoints of the given measurement classes to obtain an estimate of the average age of a resident in the country. HINT [See Example 6.] (Round the answer to one decimal place).

To estimate the average age using a relative frequency distribution, let's follow these steps:

1. **Identify Midpoints of Age Intervals:** For each age interval in the chart, calculate the midpoint. The midpoint is found by averaging the lower and upper boundaries of each interval.

2. **Calculate Frequency for Each Interval:** Based on the chart, use the relative frequency (percentage) of each age group, which will allow us to find the total frequency for each age interval.

3. **Calculate Weighted Average:** Multiply each midpoint by its respective frequency (weight) to find the weighted sum of the ages. Then, divide this sum by the total number of residents (250) to find the average.

If you could share the specific age intervals and their relative frequencies, I could compute the average for you directly. 

Do you want to go over any step, or would you like help finding a specific midpoint or relative frequency? 

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### 5 Relative Questions to Explore
1. What is the importance of using midpoints in a frequency distribution?
2. How is relative frequency calculated in a frequency distribution?
3. Why do we use a weighted average for grouped data?
4. What does the result tell us about the distribution of age in the population?
5. How would the estimate change if the sample size were larger?

### Quick Tip
Always double-check if the intervals are equally spaced, as this impacts midpoint calculation and the reliability of the average.

The following chart shows the ages of 250 randomly selected residents of a country. Use the relative frequency distribution based on the (rounded) midpoints of the given measurement classes to obtain an estimate of the average age of a resident in the country. HINT [See Example 6.] (Round the answer to one decimal place).

Explore how to estimate the average age of residents using relative frequency distributions and midpoints. This guide provides step-by-step instructions for calculating the average from age intervals of 250 randomly selected individuals.

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