Which of the following best describes a frequency distribution that is skewed to the right?

• A. Data values are evenly distributed around the $\mathrm{mean}$, forming a symmetric shape.
• B. All data values are concentrated at a single value with no variation.
• C. Most data values are clustered on the lower end, with a long tail extending to higher values.
• D. Most data values are clustered on the higher end, with a long tail extending to lower values.

Answer: (C)

Verified step by step guidance

1. Understand what 'skewed to the right' means in the context of a frequency distribution: it indicates that the distribution has a longer tail on the right side (towards higher values).
2. Recall that in a right-skewed distribution, most data points are concentrated on the lower end (left side), and fewer data points stretch out towards the higher end (right side).
3. Contrast this with a symmetric distribution, where data values are evenly spread around the mean, forming a balanced shape with no long tails.
4. Also, recognize that if data values are concentrated at a single value with no variation, the distribution is not skewed but rather degenerate or a spike at one point.
5. Therefore, the best description of a right-skewed distribution is: 'Most data values are clustered on the lower end, with a long tail extending to higher values.'