Thank you for the correction. Let's recalculate the 25th percentile (Q1), 75th percentile (Q3), and the Interquartile Range (IQR) for the correct dataset with 10 data points.

The ages from the stem and leaf diagram are:

- Stem 1: 14, 15, 18
- Stem 2: 21, 22, 24
- Stem 3: 31, 31, 32, 33, 33, 34

So, the dataset in ascending order is:
\[ 14, 15, 18, 21, 22, 24, 31, 31, 32, 33 \]

There are 10 data points in total.

### Step 1: Calculate the 25th Percentile (Q1)
The formula to find the position of the 25th percentile (Q1) is:
\[ Q1 = \frac{n+1}{4} \]
where \( n \) is the number of data points.

\[ Q1 = \frac{10+1}{4} = \frac{11}{4} = 2.75 \]

Since the position is 2.75, Q1 is between the 2nd and 3rd values in the dataset. To find this value, we take the 2nd value and add 0.75 of the difference between the 2nd and 3rd values.

The 2nd value is 15, and the 3rd value is 18:
\[ Q1 = 15 + 0.75 \times (18 - 15) = 15 + 2.25 = 17.25 \]

### Step 2: Calculate the 75th Percentile (Q3)
The formula to find the position of the 75th percentile (Q3) is:
\[ Q3 = 3 \times \frac{n+1}{4} \]

\[ Q3 = 3 \times \frac{11}{4} = \frac{33}{4} = 8.25 \]

Since the position is 8.25, Q3 is between the 8th and 9th values in the dataset. To find this value, we take the 8th value and add 0.25 of the difference between the 8th and 9th values.

The 8th value is 31, and the 9th value is 32:
\[ Q3 = 31 + 0.25 \times (32 - 31) = 31 + 0.25 = 31.25 \]

### Step 3: Calculate the Interquartile Range (IQR)
The IQR is the difference between Q3 and Q1:
\[ \text{IQR} = Q3 - Q1 = 31.25 - 17.25 = 14 \]

### Summary
- The 25th percentile (Q1) is 17.25 years.
- The 75th percentile (Q3) is 31.25 years.
- The Interquartile Range (IQR) is 14 years.

Would you like more details or have any questions?

Here are 5 related questions you might want to ask:
1. How do you interpret the interquartile range in a dataset?
2. What is the significance of the 25th and 75th percentiles?
3. How do you calculate percentiles for a larger dataset?
4. Can you explain how to create a stem and leaf diagram?
5. What are some common uses of the interquartile range in statistics?

**Tip:** Always ensure your dataset is sorted in ascending order before calculating percentiles and other statistical measures.

Learn how to calculate the 25th percentile (Q1), 75th percentile (Q3), and Interquartile Range (IQR) with a detailed step-by-step solution. This problem involves statistics and understanding percentile calculations for a dataset with 10 data points.

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