medium · Enhanced ACT math
Two box-and-whisker plots represent the distribution of scores on two different versions of a test. Version X has an interquartile range (IQR) of 15 and a total range of 40. Version Y has an IQR of 20 and a total range of 35.
Based on this information, which of the following must be true?
- The median of Version Y must be higher than the median of Version X.
- Version X contains fewer outliers than Version Y because its IQR is smaller.
- The middle 50% of scores are more spread out in Version Y than in Version X.
- The total spread from the highest to the lowest score is greater in Version Y.
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