Given the histogram below for a set of data, which of the following statements is true?
A) The five-number summary would describe the data better than the mean and standard deviation.
B) The mean and standard deviation would describe the data better than the five-number summary.
C) Either the mean and standard deviation or the five-number summary would be equally good to describe the data.
D) Neither the mean and standard deviation nor the five-number summary could be used to describe the data.

Question

Given the histogram below for a set of data, which of the following statements is true? 
A) The five-number summary would describe the data better than the mean and standard deviation. 
B) The mean and standard deviation would describe the data better than the five-number summary. 
C) Either the mean and standard deviation or the five-number summary would be equally good to describe the data. 
D) Neither the mean and standard deviation nor the five-number summary could be used to describe the data.

Quizplus · Accepted Answer

The histogram is skewed to the right and appears to have some potential outliers on the higher end. Therefore, the median and quartiles, which are part of the five-number summary, would provide a better description of the central tendency and spread of the data than the mean and standard deviation, which are influenced by outliers.

Given the Histogram Below for a Set of Data, Which