Question

which of the following probability distribution types has a mean, median, and mode that are all equal?
constant
symmetric
positively skewed
negatively skewed

Explanation:

• Constant distribution: All values are the same. So, mean = median = mode (equal to that constant value).
• Symmetric distribution: In a symmetric distribution (e.g., normal distribution), the mean, median, and mode are equal. The symmetry implies that the values are evenly distributed around the central point.
• Positively - skewed distribution: The tail is on the right - hand side. Here, mean>median>mode.
• Negatively - skewed distribution: The tail is on the left - hand side. Here, mean<median<mode.

Answer:

symmetric