hard · SAT Math

Two box plots compare the final exam scores (out of 100) of two classes of 30 students each. The five-number summaries are: Class A — Minimum: 40 Q1: 68 Median: 75 Q3: 82 Maximum: 90 Class B — Minimum: 60 Q1: 70 Median: 78 Q3: 90 Maximum: 95 Based on the box plots, which statement is best supported by the data?

1. Both classes have essentially the same average score, about 76, since their medians are close, so their spreads cannot be meaningfully compared.
2. Class B has the greater median score, but Class A's scores are more spread out than Class B's scores because Class A's range (50) is greater than Class B's range (35).
3. Class A has the greater median score, and its scores are less spread out than Class B's scores, as measured by the interquartile range.
4. Class B has the greater median score, and Class A's scores are less spread out than Class B's scores, as measured by the interquartile range (14 versus 20).

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