2. Describing Data with Tables and Graphs
Histograms
1:58 minutesProblem 2.3.9
Textbook Question
Graphical Analysis In Exercises 9–12, determine whether the approximate shape of the distribution in the histogram is symmetric, uniform, skewed left, skewed right, or none of these. Justify your answer.
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Observe the histogram provided. Note the distribution of frequencies across the bins, which represent ranges of values (e.g., 25,000 to 85,000).
Identify the general trend of the bars. In this histogram, the bars are tallest on the left side and gradually decrease in height as you move to the right.
Understand the concept of skewness. A distribution is skewed right if the tail extends to the right (towards higher values) and skewed left if the tail extends to the left (towards lower values). Symmetric distributions have equal tails on both sides, and uniform distributions have bars of roughly equal height.
Compare the histogram's shape to these definitions. The histogram shows a long tail extending to the right, indicating that the distribution is skewed right.
Justify the conclusion: The majority of the data is concentrated on the lower end (left side), with fewer occurrences as the values increase, which is characteristic of a right-skewed distribution.
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