For the given box plot, which measure of center—mean or median—best represents the shape of the distribution? Enter 1 for median or 2 for mean.
(1 point)
1
To determine which measure of center—mean or median—best represents the shape of the distribution for a given box plot, we need to consider the symmetry of the distribution.
If the box plot is symmetric, with the median in the center of the box, then the median is the best measure of center.
If the box plot is skewed, with one whisker longer than the other, then the mean is the best measure of center.
Since information about the shape of the distribution is not provided, it is not possible to determine whether the distribution is symmetric or skewed. Therefore, we cannot determine whether the median or mean best represents the shape of the distribution based on the given box plot.