hard · SAT Math

An instructor compared quiz scores between two sections of the same course. The box plots for each section correspond to these five-number summaries: Period 1 (n = 28 students) Minimum: 40 Q1: 65 Median: 72 Q3: 80 Maximum: 100 Period 2 (n = 25 students) Minimum: 60 Q1: 68 Median: 78 Q3: 88 Maximum: 95 Based only on these box plots, which statement is best supported by the data?

1. Period 2 has a higher mean score than Period 1, since Period 2's median (78) is greater than Period 1's median (72).
2. Period 2 has a higher median, but Period 1 has the greater spread in scores, since Period 1's range (100-40=60) is larger than Period 2's range (95-60=35).
3. Period 2 has both a higher median and a greater interquartile range than Period 1.
4. Period 1 has both a higher median and a greater interquartile range than Period 2.

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