1. The problem asks us to compare the typical heights of grade 7 students from School A and School B based on their box plots.
2. Important statistics from box plots are the median (middle value) and the interquartile range (IQR), which is $Q3 - Q1$ and shows the spread of the middle 50% of data.
3. From the box plots:
- School A: min = 54, $Q1 = 56$, median = 57, $Q3 = 61$, max = 63
- School B: min = 54, $Q1 = 56$, median = 61, $Q3 = 62$, max = 64
4. Calculate the IQR for each school:
- School A: $IQR = 61 - 56 = 5$
- School B: $IQR = 62 - 56 = 6$
5. Compare medians:
- School A median = 57
- School B median = 61
6. Interpretation:
- Median height of School B students is higher than School A, so School B students are typically taller.
- The difference in IQRs is small (5 vs 6), so spread is similar.
7. Therefore, the correct comparison is that School B students are typically taller than School A students because of the difference in medians.
Final answer: D
Height Comparison A3A856
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