medium · SAT Math

Group A: Minimum: 30 wpm Q1: 42 wpm Median: 50 wpm Q3: 58 wpm Maximum: 70 wpm Group B: Minimum: 35 wpm Q1: 48 wpm Median: 60 wpm Q3: 70 wpm Maximum: 85 wpm Which statement is a valid comparison of the two groups based on these box plots?

1. Group A has both a higher median and a larger IQR than Group B.
2. Group A has a greater spread than Group B because Group A's range (70 - 30 = 40 wpm) is larger than Group B's IQR (70 - 48 = 22 wpm).
3. Group B has both a greater median (60 wpm vs. 50 wpm) and a greater IQR (22 wpm vs. 16 wpm) than Group A.
4. Group B's mean typing speed equals its median of 60 wpm, so Group B's average performance is 10 wpm higher than Group A's average of 50 wpm.

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