APFIVE Standard Deviation Versus Interquartile Range
Data sets A and B have the same mean and median, but data set A has standard deviation of 12 and IQR of 15, while data set B has standard deviation of 8 and IQR of 20. Which statement is most accurate?
A
Both data sets must have the same shape of distribution
B
Data set B has greater overall variability than data set A
C
Data set A likely has more extreme outliers but more consistent middle values
D
Data set A has more consistent spread throughout its distribution
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