Dataset A has an IQR of 16, dataset B has an IQR of 13, and dataset C has an IQR of 2. Which statement is true? (1 point) Responses Of the three datasets, dataset B has the least variability. Of the three datasets, dataset B has the least variability. Of the three datasets, dataset A has the least variability. Of the three datasets, dataset A has the least variability. Of the three datasets, it is not possible to tell which dataset has the least variability without knowing the median of each dataset. Of the three datasets, it is not possible to tell which dataset has the least variability without knowing the median of each dataset. Of the three datasets, dataset C has the least variability.

1 answer

The interquartile range (IQR) is a measure of variability that indicates the range within which the central 50% of the data falls. A smaller IQR denotes less variability in the dataset.

Given the IQRs:

  • Dataset A: IQR = 16
  • Dataset B: IQR = 13
  • Dataset C: IQR = 2

Since dataset C has the smallest IQR (2), it indicates that dataset C has the least variability among the three datasets.

Therefore, the true statement is: "Of the three datasets, dataset C has the least variability."