Since the data on the right of the distribution is approximately a mirror image of the data on the left, the distribution is symmetric. The box-and-whisker plot that matches this histogram must have whiskers of the same size and the median must be about in the half of the box.
This box-and-whisker plot is given in option C.
b Consider the given histogram.
Since most of the data are on the left and the tail of the graph extends to the right, the distribution is skewed right. The box-and-whisker plot that matches this histogram must have the right whisker longer and most of the data must be on the left side of the plot.
This box-and-whisker plot is given in option A.
c Consider the given histogram.
Since most of the data are on the right and the tail of the graph extends to the left, the distribution is skewed left. The box-and-whisker plot that matches this histogram must have the left whisker longer, and most of the data must be on the right side of the plot.
