If two data sets have the same range, which of the following characteristics do these data sets also share?
A) The distances from the smallest to the largest observations in both sets will be the same.
B) The smallest and largest observations will be the same in both sets.
C) They will have the same variance.
D) They will have the same interquartile range.

Question

Quizplus · Accepted Answer

Range is defined as the difference between the largest and smallest observations in a data set. Therefore, if two data sets have the same range, it means that the distance between their smallest and largest observations is the same. However, this does not necessarily mean that they share other characteristics such as the same smallest and largest observations, same variance, or same interquartile range.

If Two Data Sets Have the Same Range, Which of the Following