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The question asks for the calculation of the **interquartile range (IQR)** of the provided dataset, which consists of 21 scores. The steps to find the IQR are as follows:

1. **Sort the data** in ascending order.
2. **Find Q1 (the first quartile)**: This is the median of the lower half of the data (excluding the overall median).
3. **Find Q3 (the third quartile)**: This is the median of the upper half of the data (excluding the overall median).
4. **Calculate IQR**: IQR = Q3 - Q1.

I'll start by ordering the data and finding Q1, Q3, and the IQR.

Given dataThe question asks for the calculation of the **interquartile range (IQR)** of the provided dataset, which consists of 21 scores. The steps to find the IQR are as follows:

1. **Sort the data** in ascending order.
2. **Find Q1 (the first quartile)**: This is the median of the lower half of the data (excluding the overall median).
3. **Find Q3 (the third quartile)**: This is the median of the upper half of the data (excluding the overall median).
4. **Calculate IQR**: IQR = Q3 - Q1.

I'll start by ordering the data and finding Q1, Q3, and the IQR.

Given   
\[ 1, 5, 5, 7, 22, 20, 14, 25, 15, 24, 13, 13, 15, 21, 16, 5, 12, 9, 3, 1, 3 \]

I'll now sort the data and find the quartiles.The sorted data is:

\[ 1, 1, 3, 3, 5, 5, 5, 7, 9, 12, 13, 13, 14, 15, 15, 16, 20, 21, 22, 24, 25 \]

- **Q1 (first quartile)**: 5.0
- **Q3 (third quartile)**: 16.0
- **Interquartile Range (IQR)**: \( Q3 - Q1 = 16.0 - 5.0 = 11.0 \)

So, the interquartile range (IQR) is **11.0**.

Would you like any additional details or have any questions?

Here are some related questions:
1. How are the quartiles calculated for a data set with an odd number of elements?
2. What is the significance of the interquartile range in statistical analysis?
3. How does IQR help in identifying outliers in a dataset?
4. Can the IQR be used with different types of distributions?
5. How do median and IQR compare to mean and standard deviation?

**Tip**: The IQR is a robust measure of variability, especially useful for datasets with outliers since it focuses on the middle 50% of the data.

Bereken de interkwartielafstand voor de steekproef van 21 scores: [1, 5, 5, 7, 22, 20, 14, 25, 15, 24, 13, 13, 15, 21, 16, 5, 12, 9, 3, 1, 3].

Learn how to calculate the interquartile range (IQR) for a sample of 21 scores. This problem explains step-by-step how to find the first and third quartiles, using the formula IQR = Q3 - Q1. Suitable for students in Grades 9-12.

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