Typical Words
1. **Problem Statement:** We need to determine which number best describes a typical number of Spanish words a sixth-grade student memorized this week, given the data about memorization.
2. **Given Data:**
- Total students: 48
- Each student memorized at least 18 words
- 29 students memorized all 30 words
- Median number of words memorized: 30
- Interquartile range (IQR): 2 words
3. **Understanding Median and IQR:**
- The median is the middle value when all data points are ordered. Here, median = 30 means at least half the students memorized 30 words.
- The interquartile range (IQR) is the difference between the 75th percentile (Q3) and the 25th percentile (Q1). IQR = 2 means Q3 - Q1 = 2.
4. **Interpreting the Data:**
- Since 29 students memorized all 30 words, more than half memorized 30 words, confirming the median is 30.
- The IQR of 2 suggests the middle 50% of students memorized between Q1 and Q3 words, with Q3 - Q1 = 2.
- Because the median is 30 and the minimum is 18, the typical number is close to 30.
5. **Conclusion:**
- The median and the large number of students memorizing all 30 words indicate that 30 is the best description of a typical number of words memorized.
**Final answer:** 30