Subjects statistics

Height Comparison A3A856

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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