Which one of the following best completes the statement? The shape of the data shown in this graph can best be described as...

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The correct answer identifies the shape of the data as skewed right, which means that the tail on the right side of the distribution is longer or fatter than the left side. This indicates that there are a greater number of lower values, with fewer higher values extending towards the right. In many real-world phenomena, data distributions can exhibit this type of skewness due to the presence of outliers or extreme values on the high end.

In visualizing skewed right data, one could recognize that the peak of the data density is situated to the left of the graph's center, with the values tapering off gradually to the right. This asymmetric arrangement is characteristic of right-skewed distributions, which often arise in situations like income distributions where a small number of individuals can have significantly higher incomes than the majority.

Understanding this concept of skewness is integral for interpreting data accurately, especially when making decisions based on the statistical analyses derived from such data sets. Skewness affects the mean, median, and mode of the data, and this shape suggests a potential need for transformation or a specific analytical approach if normality is expected in certain statistical testing or procedures.

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