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Based on the histogram, find the proportion of selling times in the sample that are at lease 10 days. Write your answer as decimal, and do not round your answer.

To solve this problem, I'll first analyze the histogram. The goal is to find the proportion of selling times that are at least 10 days.

### Steps to Solve:
1. **Identify the relevant bars:** We need to identify the bars on the histogram that represent selling times of 10 days or more.
2. **Calculate the frequencies:** Determine the frequency of each of these bars.
3. **Calculate the total frequency:** Add up all the frequencies to get the total number of selling times.
4. **Compute the proportion:** Divide the sum of frequencies for selling times of 10 days or more by the total frequency.

### Analyzing the Histogram:
- The x-axis represents the selling time (in days).
- The bars that represent selling times of at least 10 days are those at 10 days and 15 days.

Let's break it down:

- **Bar at 10 days** has a height representing a frequency of 4.
- **Bar at 15 days** has a height representing a frequency of 3.

Now, let's calculate:

- **Frequencies for 10 days or more:** \( 4 + 3 = 7 \)
- **Total frequency:** \( 5 + 8 + 4 + 3 + 2 = 22 \)

### Proportion Calculation:
\[
\text{Proportion} = \frac{7}{22} = 0.\overline{318}
\]

Thus, the proportion of selling times that are at least 10 days is approximately \( 0.\overline{318} \).

Do you have any further questions, or would you like more details?

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**Related Questions:**
1. How would the proportion change if we were asked about times at least 5 days?
2. What is the cumulative frequency for selling times of less than 10 days?
3. If another selling time of 15 days was added, how would that affect the proportion?
4. How does the shape of the histogram affect the interpretation of selling time data?
5. What is the median selling time based on this histogram?

**Tip:** When analyzing histograms, always pay attention to the height of each bar, as it represents the frequency of occurrences within that interval.

Learn how to find the proportion of selling times that are at least 10 days using histogram analysis. This problem involves analyzing frequency distributions, identifying relevant bars in a histogram, and calculating proportions based on frequency data. Suitable for advanced high school students.

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