If two data sets have the same range:
A) the distances from the smallest to largest observations in both sets will be the same
B) the smallest and largest observations are the same in both sets
C) both sets will have the same variance
D) both sets will have the same interquartile range
E) both sets will have the same mean

Question

Quizplus · Accepted Answer

The range is determined by the difference between the smallest and largest observations. If two data sets have the same range, it means that the distances from the smallest to largest observations in both sets will be the same. However, this does not necessarily mean that the smallest and largest observations are the same, or that the sets have the same variance, interquartile range, or mean.

If Two Data Sets Have the Same Range