Question

characterize the distribution that is skewed right.

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

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

Explanation:

Define right-skewed distribution

A right-skewed (or positively skewed) distribution has a long tail extending to the right. This shape indicates that while most data values are clustered on the left side, there are a few unusually large values on the far right.

Analyze the mean and data spread

Because of the extreme values on the right, the mean is pulled toward the right tail. Consequently, the bulk of the data lies to the left of the mean, meaning there are fewer data values on the right side of the mean than on the left side.

Evaluate the given options

We apply our understanding of Data Distribution Shape to evaluate the choices:

• The first option states: "A distribution that is skewed right has fewer data values on the right side than the left side of the mean." This matches our analysis.
• The second option states: "A distribution that is skewed right has fewer data values on the left side than the right side of the mean." This describes a left-skewed distribution.

Answer:

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