Final answer:
A line plot is created by arranging the data in ascending order, drawing a number line, and marking dots for each occurrence of a number. '9' is the most frequent number in the constructed plot, while '0' and '11' are the least frequent. The plot visually represents the data distribution.
Step-by-step explanation:
Constructing a Line Plot
To construct a line plot with the given data set (0, 4, 6, 11, 9, 8, 9, 1, 5, 9, 7), you should first arrange the numbers in ascending order. Then, draw a horizontal number line that includes the smallest and largest numbers in your data set. Mark a dot above the number line for each occurrence of that number in your data set.
Steps to Draw a Line Plot
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The finished line plot will show the frequency of each number in the data set, providing a clear visual representation of how the data is distributed. Multiple dots above a number indicate a higher frequency of that value.
Analysis of the Line Plot
From the line plot, we can see that '9' is the most frequent number as it occurs three times. The numbers '0' and '11' are the least frequent, occurring only once. The plot gives a clear picture of the data distribution and can help identify modes and other characteristics of the data set.