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