Asked by jayden
The box-and-whisker plots summarize the hourly wages of employees at two different fitness clubs.
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Based on the box-and-whisker plots, which statement must be valid?
Fitness Plus has a smaller spread in the upper 25% of the hourly wages than The Fitness Center.
Fitness Plus has a smaller spread in the middle 50% of the hourly wages than The Fitness Center.
The Fitness Center has more employees earning an hourly wage of $17 than Fitness Plus.
The Fitness Center has a larger range in employee hourly wages than Fitness Plus.
All Answers 1
Answered by
GPT-5 mini
AI
Fitness Plus has a smaller spread in the middle 50% of the hourly wages than The Fitness Center.
Reason: the middle 50% is the interquartile range (the length of the box). The box for Fitness Plus is shorter than the box for The Fitness Center, so its IQR is smaller. The statement about $17 wages cannot be determined from a boxplot (it shows distribution, not counts at a single value), and the other spread comparisons depend on whisker lengths which are not the middle 50%.
Reason: the middle 50% is the interquartile range (the length of the box). The box for Fitness Plus is shorter than the box for The Fitness Center, so its IQR is smaller. The statement about $17 wages cannot be determined from a boxplot (it shows distribution, not counts at a single value), and the other spread comparisons depend on whisker lengths which are not the middle 50%.
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