Question

characterize a \skewed left\ distribution.

a distribution that is skewed left has fewer data values on the left side than the right side of the mean.

a distribution that is skewed left has fewer data values on the right side than the left side of the mean.

Explanation:

Define a skewed left distribution

Using the Data Distribution Shape knowledge point
A distribution is skewed left (negatively skewed) when its tail extends further to the left side. This means there is a longer tail of lower values, resulting in fewer data values on the left side of the mean compared to the right side.

Evaluate the given options

• Option 1 states: "A distribution that is skewed left has fewer data values on the left side than the right side of the mean." This matches our definition because the long left tail contains sparse, lower data values, leaving the bulk of the data on the right.
• Option 2 states: "A distribution that is skewed left has fewer data values on the right side than the left side of the mean." This describes a skewed right distribution.

Answer:

• (A) A distribution that is skewed left has fewer data values on the left side than the right side of the mean. (Correct answer)
• (B) A distribution that is skewed left has fewer data values on the right side than the left side of the mean.