Suppose you are comparing the dispersion of two different data sets. One has a higher range, but a lower IQR than the other. What might this tell you about each data set?
- The one with the higher range has more outliers
- The one with the higher range has more variability
- The one with the lower IQR has more variability
- The one with the lower IQR is more skewed
If one dataset has a higher range but a lower IQR than the other, it could suggest that "The one with the higher range has more outliers". The range is sensitive to extreme values, while the IQR focuses on the middle 50% of data and is not affected by outliers.
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