Question

classifying data distributions
the probability distribution
the mean is
the mode is
options: negatively skewed, symmetric, positively skewed

Explanation:

Step1: Analyze Skewness Direction

A negatively skewed distribution has a longer tail on the left (lower values), while a positively skewed has a longer tail on the right (higher values). Here, the tail is on the left (x=1,2 have small probabilities), so it's negatively skewed.

Step2: Recall Mean-Mode Relationship in Skewness

In a negatively skewed distribution, the mean is less than the mode (since mean is pulled left by the tail, mode is at the peak, here x=6 has the highest bar, so mode=6; mean will be less than 6).

Answer:

The probability distribution is negatively skewed.
The mean is less than the mode.
The mode is 6.