In a distribution that is symmetrical,which of the following is true?
A) The distances from Q1 and Q4 to the median are the same.
B) The distances from Q1 and Q2 to the median are the same.
C) The distances from Q1 and Q3 to the median are the same.
D) The distances from Q2 and Q3 to the median are the same.

Question

Quizplus · Accepted Answer

In a symmetrical distribution, the median is at the center and the quartiles divide the distribution into four equal parts. Therefore, the distances from Q1 and Q3 to the median are the same because they both represent the same proportion of the data on either side of the median. This is not true for Q2 and Q3 or Q1 and Q4, as those quartiles represent different proportions of the data from the median.

In a Distribution That Is Symmetrical,which of the Following Is