Which of the following is the proportion of the total area that must be to the left of the median, in a histogram?
A) $0.50$.
B) Less than $0.50$ if the distribution is skewed to the left.
C) More than $0.50$ if the distribution is skewed to the right.
D) B etween $0.25$ and $0.60$ if the distribution is symmetric and unimodal.

Question

Which of the following is the proportion of the total area that must be to the left of the median, in a histogram? 
A) $0.50$.
B) Less than $0.50$ if the distribution is skewed to the left.
C) More than $0.50$ if the distribution is skewed to the right.
D) B etween $0.25$ and $0.60$ if the distribution is symmetric and unimodal.

Quizplus · Accepted Answer

The median is the point that divides the distribution into two equal areas, and therefore by definition, the proportion of the total area to the left of the median is 0.50. This is true regardless of the shape of the distribution.

Which of the Following Is the Proportion of the Total 0.500.500.50

Which of the Following Is the Proportion of the Total $0.50$