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The article “Determination of Most Representative Subdivision” provided data on the total length of streets within different subdivisions. The question asks to analyze the data using a stem-and-leaf display and a histogram, and answer specific questions about the proportions of subdivisions with certain total lengths and the shape of the histogram.
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The stem-and-leaf display is constructed by using the thousands digit as the stem and the hundreds digit as the leaf. The histogram is constructed using class boundaries of 0, 1000, 2000, 3000, 4000, 5000, and 6000. From the histogram, we can see that 23 out of the 47 subdivisions have a total length less than 2000. This means that approximately 48.9% of the subdivisions fall into this category. Additionally, 29 out of the 47 subdivisions have a total length between 2000 and 4000, which accounts for approximately 36.2% of the subdivisions. The shape of the histogram is positively skewed, indicating that the data is gathered more towards the left side of the distribution, with a representative value of around 2000.
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