Which of the following statements is true about the range?
A)It is unaffected by outliers.
B)It can be misleading if it is inflated by one or more aberrant outliers.
C)It provides more information than other measures of dispersion about the amount of variability in a distribution.
D)It refers to the middle 75% of the values in a distribution.

Question

Quizplus · Accepted Answer

The range is the difference between the maximum and minimum values in a distribution. It is affected by outliers, as even one or more extreme values can inflate the range and make it misleading as a measure of dispersion. Option A is thus incorrect. Option C is also incorrect as the range only provides information about the spread between the maximum and minimum values, whereas other measures of dispersion such as standard deviation and variance provide more comprehensive information about the degree and nature of dispersion. Option D is also incorrect as it refers to the interquartile range, which is the range of the middle 50% of the values in a distribution, not 75%.

Which of the Following Statements Is True About the Range