The question asks, "Which of the following statements is incorrect?" The answer options provided are:

(A) Both dotplots and stemplots can show symmetry, gaps, clusters, and outliers.
(B) Sets with different distribution shapes can have identical boxplots.
(C) Boxplots, dotplots, stemplots, and histograms can all show skewness.
(D) In histograms, relative areas correspond to relative frequencies.
(E) In histograms, frequencies can be determined from relative heights.

Incorrect Statement:

The correct answer, marked as (C), is indeed incorrect.

Explanation: While histograms, dotplots, and stemplots can show skewness, boxplots do not directly show skewness. Boxplots show the distribution's quartiles and potential outliers, but they don't directly indicate skewness as other plots do.

Would you like more details on any of the other options or have further questions?

Related questions:

1. How does a boxplot represent distribution without showing skewness?
2. What are the key features that make a histogram show skewness?
3. Can dotplots provide more information than histograms regarding distribution?
4. How can two different distributions have the same boxplot?
5. What are the advantages of using a stemplot over other types of plots?

Tip:

Always check for skewness by looking at histograms or dotplots, as boxplots do not give a clear indication of skewness.