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Dot Plots and Histograms โ€” Construct and Interpret

Dot plots show each data point; histograms group values into class intervals. Both reveal shape, center, and spread.

StatisticsCommon Core SP-1.BEDAVerified correct โœ“

Worked examples

A histogram displays the distribution of exam scores for 95 students with class intervals [50,60), [60,70), [70,80), [80,90), [90,100]. The tallest bar is at [70,80) with 41 students, and the bars taper down on both sides. (a) Describe the shape of the distribution. (b) Estimate the approximate median class interval. Justify your answer. (c) Would the mean or the median better represent the "typical" score? Explain.
Answer:
A histogram displays the distribution of exam scores for 53 students with class intervals [50,60), [60,70), [70,80), [80,90), [90,100]. The tallest bar is at [70,80) with 48 students, and the bars taper down on both sides. (a) Describe the shape of the distribution. (b) Estimate the approximate median class interval. Justify your answer. (c) Would the mean or the median better represent the "typical" score? Explain.
Answer:

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