Question

for the graphs below, for which probability distribution is the value of the median greater than the value of the mean?
theoretical probability distributions
three graphs: negatively skewed, normal (no skew), positively skewed
options:

• negatively skewed
• normal, symmetrical distribution
• positively skewed distribution
• none of the above

Explanation:

In a negatively skewed distribution, the tail pulls the mean toward the left (lower values), while the median remains closer to the peak of the distribution. In a normal symmetric distribution, mean and median are equal. In a positively skewed distribution, the mean is pulled toward the right (higher values) so it is greater than the median. Thus, only the negatively skewed distribution has a median greater than the mean.

Answer:

Negatively skewed