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Typical Words

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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