Which of the following statements about measures of the spread of data is true?
A) Neither the quartiles nor the standard deviation is strongly affected by an outlier in the data.
B) The quartiles are strongly affected by an outlier in the data, but the standard deviation is not.
C) The standard deviation is strongly affected by an outlier in the data, but the quartiles are not.
D) Both the quartiles and the standard deviation are strongly affected by an outlier in the data.

Question

Quizplus · Accepted Answer

The standard deviation is strongly affected by an outlier in the data as it takes into account the distance of each point from the mean, whereas the quartiles only consider the values at specific points in the distribution. Therefore, an outlier can have a significant impact on the standard deviation but not on the quartiles.

Which of the Following Statements About Measures of the Spread