Students in a class were given a quiz. These were their scores:

7   8   10   9   8   8   4   6   7   8   9   8   6   8   5 What is the IQR for these students' quiz scores?

To calculate the interquartile range (IQR), we first need to find the 1st quartile (Q1) and 3rd quartile (Q3) of the scores, and then subtract Q1 from Q3. Here’s the process:

1. **Order the scores from smallest to largest**:  
   \(4, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10\)

2. **Find the median (Q2)**:  
   Since there are 15 scores, the median is the 8th value in this ordered list, which is \(8\).

3. **Calculate Q1 (1st quartile)**:  
   Q1 is the median of the lower half (excluding the median if we have an odd number of data points). The lower half here is \(4, 5, 6, 6, 7, 7, 8\). The median of these 7 values (Q1) is the 4th value, which is \(6\).

4. **Calculate Q3 (3rd quartile)**:  
   Q3 is the median of the upper half. The upper half here is \(8, 8, 8, 8, 9, 9, 10\). The median of these 7 values (Q3) is the 4th value, which is \(8\).

5. **Find the IQR**:  
   \[
   \text{IQR} = Q3 - Q1 = 8 - 6 = 2
   \]

### Answer:
The interquartile range (IQR) for these students' quiz scores is \(2\).

Would you like a detailed explanation of any steps?

---

1. What is the median score of these students?
2. How would the IQR change if a new score of 3 were added?
3. How do outliers affect the IQR calculation?
4. Why is IQR a useful measure of spread?
5. What is the range of these quiz scores?

**Tip**: The IQR is resistant to outliers, making it a good measure of spread when data has extreme values.

Students in a class were given a quiz. These were their scores:

7 8 10 9 8 8 4 6 7 8 9 8 6 8 5

What is the IQR for these students' quiz scores?

Find the interquartile range (IQR) for students' quiz scores: 7, 8, 10, 9, 8, 8, 4, 6, 7, 8, 9, 8, 6, 8, 5. This solution explains ordering data, finding Q1 and Q3, and calculating IQR, ideal for Grades 6-8.

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