A clearly right-skewed distribution has most data at lower values and a tail extending toward higher values. Evaluate candidates A–E, then report the \(\text{complete}~\text{matching}~\text{set}\).
A. A dot plot has many points stacked from \(4~\text{to}~9\), \(a~\text{few}~\text{points}\) at \(10\) and \(11\), and \(\text{single}~\text{points}\) at \(15\) and \(18\).
B. A histogram has bars that rise to a peak in the middle, then fall in a nearly mirror-image way on \(\text{both}~\text{sides}\).
C. A box plot has a short left whisker, a box from \(12~\text{to}~18\) with median \(14\), and a much longer right whisker reaching to \(31\).
D. A distribution has most values high, with a tail stretching toward the lower numbers.
E. A histogram has bars spread almost evenly across the \(\text{whole}~\text{interval}\), with no long tail on \(\text{either}~\text{side}\).
What this problem is really about
Use tail direction as the common test across all five displays: right skew means the data bunch at lower values and thin out toward higher values. Translate that idea appropriately for dots, bars, whiskers, or a verbal description, and test every candidate independently. The complete matching set must include every display that passes and exclude symmetric, uniform, or left-tailed shapes.