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The engineer’s manager has listed some questions he wants the engineer to answer. Which question can best be answered by using the dot plot?

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Final answer:

A dot plot is best used to identify where data clusters, which can be interpreted to reflect common characteristics within the data set, such as the sleep habits of students in a class.

Step-by-step explanation:

The question which can best be answered by using a dot plot is 'Where do your data appear to cluster? How might you interpret the clustering?'. A dot plot is a simple graphical tool that allows us to visualize where data points fall on a number line. When analyzing the dot plot, you can easily identify areas where the data points are concentrated, which are referred to as clusters. For example, if the average sleep times of students are primarily between 6 and 7 hours, the dot plot will show a clustering of dots in that range. This clustering might be interpreted to reflect the common sleep habits or needs of the students in the class.

A dot plot is less effective for comparing data across different categories or for showing the relationship between two variables. It is mainly useful for understanding the distribution of a single variable and identifying modes, or peaks in the data distribution.

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