medium · SAT Math
Two box-and-whisker plots compare the typing speeds (in words per minute) of two groups of employees who completed a training program.
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?
- Group A has both a higher median and a larger IQR than Group B.
- 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).
- Group B has both a greater median (60 wpm vs. 50 wpm) and a greater IQR (22 wpm vs. 16 wpm) than Group A.
- 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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