If the interquartile range of a data set is zero,
A)the middle 50% of the values in the data set are zero.
B)the middle 50% of the values in the data set are the same.
C)the range of the data set must also be zero.
D)the median of the data set must also be zero.
E)the mean of the data set must also be zero.

Question

Quizplus · Accepted Answer

The interquartile range is the difference between the third quartile (Q3) and the first quartile (Q1) of a data set, representing the range of the middle 50% of the data. If the interquartile range is zero, it means Q3 and Q1 are the same, indicating that the middle 50% of the values in the data set are the same, but not necessarily zero. This does not imply anything about the range, median, or mean of the entire data set.

If the Interquartile Range of a Data Set Is Zero