Question

for which of the following distributions is the mean most likely to be less than the median?

Explanation:

When a distribution is left-skewed (negatively skewed), the mean is pulled toward the tail of the distribution (the lower values), making it less than the median. The fourth histogram has the tallest bars on the left, with bars decreasing in height as we move right, which is the shape of a left-skewed distribution. The first histogram is symmetric, the second is roughly symmetric, and the third is right-skewed (where mean is greater than median).

Answer:

The fourth histogram (the bottom one with bars decreasing in height from left to right)